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Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s572417887
Wrong Answer
p03077
Input is given from Standard Input in the following format: N A B C D E
n, a, b, c, d, e = open(0) print(-(-int(n) // int(min(a, b, c, d, e))) + 4)
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s708760038
Wrong Answer
p03077
Input is given from Standard Input in the following format: N A B C D E
n, *city = [int(input()) for _ in range(6)] print(5 + n // min(city))
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s787497468
Wrong Answer
p03077
Input is given from Standard Input in the following format: N A B C D E
N = int(input()) ABCDE = [int(input()) for i in range(5)] mi = min(ABCDE) for i in range(len(ABCDE)): if mi == ABCDE[i]: index = i break moved = [0 for i in range(index + 1)] moved[0] = N time = 0 while moved[-1] < N: for i in range(index - 1, -1, -1): if moved[i] < ABCDE[i]: moved[i + 1] += moved[i] moved[i] = 0 else: moved[i + 1] += ABCDE[i] moved[i] -= ABCDE[i] time += 1 ans = N // mi + 5 print(ans)
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s935485497
Accepted
p03077
Input is given from Standard Input in the following format: N A B C D E
import math def my_solve2(): """ 最短時間はもっとも移動可能人数が少ない区間に依存する """ num = int(input()) transpotations = [] for _ in range(5): transpotations.append(int(input())) # print(transpotations, min(transpotations)) # 最も移動可能人数が少ない区間の抽出 bottleneck = min(transpotations) # 移動時間.切り上げの必要あり time = math.ceil(num / bottleneck) time += 4 return time def my_solve(): """ 未完成 現在の人の分布と1分後の人の分布を分けて考えるために2つの人分布リストが必要 この方法では制限時間内に計算を終了することができない """ num = int(input()) # print("num: {}".format(num)) traffic_a = int(input()) traffic_b = int(input()) traffic_c = int(input()) traffic_d = int(input()) traffic_e = int(input()) city_people_num = [num, 0, 0, 0, 0, 0] time = 0 # TODO: 現在の人の分布と1分後の人の分布を分けて考えるために2つのリストが必要 while city_people_num[5] < num: # print(city_people_num) # 1->2 if city_people_num[0] >= traffic_a: city_people_num[0] -= traffic_a city_people_num[1] += traffic_a else: city_people_num[1] += city_people_num[0] city_people_num[0] = 0 # print(city_people_num) time += 1 # 2->3 if city_people_num[1] >= traffic_b: city_people_num[1] -= traffic_b city_people_num[2] += traffic_b else: city_people_num[2] += city_people_num[1] city_people_num[1] = 0 # print(city_people_num) time += 1 # 3->4 if city_people_num[2] >= traffic_c: city_people_num[2] -= traffic_c city_people_num[3] += traffic_c else: city_people_num[3] += city_people_num[2] city_people_num[2] = 0 time += 1 # 4->5 if city_people_num[3] >= traffic_d: city_people_num[3] -= traffic_d city_people_num[4] += traffic_d else: city_people_num[4] += city_people_num[3] city_people_num[3] = 0 time += 1 # 5->6 if city_people_num[4] >= traffic_e: city_people_num[4] -= traffic_e city_people_num[5] += traffic_e else: city_people_num[5] += city_people_num[4] city_people_num[4] = 0 time += 1 # print("time {}".format(time)) # print(city_people_num) return time print(my_solve2())
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s196498220
Runtime Error
p03077
Input is given from Standard Input in the following format: N A B C D E
N = int(input()) A = [0, 0, 0, 0, 0] A[0] = int(input()) A[1] = int(input()) A[2] = int(input()) A[3] = int(input()) A[4] = int(input()) class person: def __init__(self): # 現在の居場所 self.now = 1 # 最後の都市まできたかどうか self.end = False # 乗り物に乗っているかどうか self.ride = False def ridee(self, Info): if self.end == False and self.ride == False: if self.now == 1 and Info.train_now < Info.train_max: self.ride = True Info.train_now = Info.train_now + 1 elif self.now == 2 and Info.buss_now < Info.buss_max: self.ride = True Info.buss_now = Info.buss_now + 1 Info.train_now = Info.train_now - 1 elif self.now == 3 and Info.taxi_now < Info.taxi_max: self.ride = True Info.taxi_now = Info.taxi_now + 1 Info.buss_now = Info.buss_now - 1 elif self.now == 4 and Info.airplane_now < Info.airplane_max: self.ride = True Info.airplane_now = Info.airplane_now + 1 Info.taxi_now = Info.taxi_now - 1 elif self.now == 5 and Info.ship_now < Info.ship_max: self.ride = True Info.ship_now = Info.ship_now + 1 Info.airplane_now = Info.airplane_now - 1 class info: def __init__(self, N): self.train_max = A[0] self.buss_max = A[1] self.taxi_max = A[2] self.airplane_max = A[3] self.ship_max = A[4] self.train_now = 0 self.buss_now = 0 self.taxi_now = 0 self.airplane_now = 0 self.ship_now = 0 self.people = [] self.people = [person()] * N def ride(self, N): for i in range(N): self.people[i].ridee(self) def end_check(self): if self.people[N - 1].end == True: return 1 return 0 def update(self): for i in range(N): if self.people[i].ride == True: self.people[i].now = self.people[i].now + 1 self.people[i].ride = False if self.people[i].now == 6: self.ship_now = self.ship_now - 1 self.people[i].end = True # infoインスタンスを生成する INFO = info(N) time = 0 while True: INFO.ride(N) INFO.update() time = time + 1 if INFO.end_check() == 1: break print(time)
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s534257894
Runtime Error
p03077
Input is given from Standard Input in the following format: N A B C D E
inf = input().split() X = int(inf[0]) Y = int(inf[1]) Z = int(inf[2]) K = int(inf[3]) A = [int(i) for i in input().split()] B = [int(i) for i in input().split()] C = [int(i) for i in input().split()] ab = [] for a in A: for b in B: ab += [a + b] ab.sort(reverse=True) C.sort(reverse=True) state = [ab[0] + i for i in C] count = 0 while count < K: x = max(state) print(x) count += 1 i = state.index(x) j = ab.index(x - C[i]) if j < X * Y - 1: state[i] = ab[j + 1] + C[i] else: state[i] = -1
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s065496223
Wrong Answer
p03077
Input is given from Standard Input in the following format: N A B C D E
N = int(input()) former_capacity = 0 ans = 0 areas = [0] * 6 areas[0] = N capacity_list = [] for i in range(5): capacity_list.append(int(input())) for i, capacity in enumerate(capacity_list): n = areas[i] if former_capacity == 0: diff = int(n / capacity) + 1 elif capacity < former_capacity: diff = int(n / capacity) - int(n / former_capacity) + 1 else: diff = 1 ans += diff former_cap = 0 trans = 0 for idx, orig_cap in enumerate(capacity_list): area = areas[idx] if former_cap != 0: cap = min(orig_cap, former_cap) area = min(capacity_list[idx - 1] * (diff - 1), trans) else: cap = orig_cap trans = min(cap * diff, area) former_cap = orig_cap areas[idx] -= trans areas[idx + 1] += trans former_capacity = capacity print(ans)
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s045259293
Runtime Error
p03077
Input is given from Standard Input in the following format: N A B C D E
import heapq X, Y, Z, K = map(int, input().split()) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) asort, bsort, csort = ( sorted(A, reverse=True), sorted(B, reverse=True), sorted(C, reverse=True), ) already = set((0, 0, 0)) print(asort[0] + bsort[0] + csort[0]) x, y, z = 0, 0, 0 check = [] for k in range(K - 1): if (x + 1, y, z) not in already and x + 1 < X: already.add((x + 1, y, z)) heapq.heappush(check, (-(asort[x + 1] + bsort[y] + csort[z]), x + 1, y, z)) if (x, y + 1, z) not in already and y + 1 < Y: already.add((x, y + 1, z)) heapq.heappush(check, (-(asort[x] + bsort[y + 1] + csort[z]), x, y + 1, z)) if (x, y, z + 1) not in already and z + 1 < Z: already.add((x, y, z + 1)) heapq.heappush(check, (-(asort[x] + bsort[y] + csort[z + 1]), x, y, z + 1)) maxsum = heapq.heappop(check) print(-maxsum[0]) x, y, z = maxsum[1], maxsum[2], maxsum[3]
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s251914097
Accepted
p03077
Input is given from Standard Input in the following format: N A B C D E
h = int(input()) l = min([int(input()) for i in range(5)]) print(4 - (-h // l))
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s106192826
Wrong Answer
p03077
Input is given from Standard Input in the following format: N A B C D E
print(5 + int(input()) // min([int(input()) for _ in range(5)]))
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s868639450
Wrong Answer
p03077
Input is given from Standard Input in the following format: N A B C D E
n = int(input()) mins = [(int(input()), idx) for idx in range(5)] ans = n // min(mins)[0] print(ans + 5)
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s219706960
Wrong Answer
p03077
Input is given from Standard Input in the following format: N A B C D E
print(int(input()) // min([int(input()) for _ in range(5)]) + 5)
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s013759411
Wrong Answer
p03077
Input is given from Standard Input in the following format: N A B C D E
A = [int(input()) for _ in [0] * 5] B = [-(-a // 10) * 10 - a for a in A] print(sum(B) + sum(A) - max(B))
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s212045418
Wrong Answer
p03077
Input is given from Standard Input in the following format: N A B C D E
L = [int(input()) for i in range(6)] m = L[0] c = 0 for i in range(1, 6): c += -(-m // L[i]) m = min(m, L[i]) print(c)
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s240503713
Accepted
p03077
Input is given from Standard Input in the following format: N A B C D E
def int_raw(): return int(input()) def ss_raw(): return input().split() def ints_raw(): return list(map(int, ss_raw())) N = int_raw() poss = [] for i in range(5): p = int_raw() poss.append(p) def main(): minp = min(poss) return ((N + minp - 1) // minp) + 4 print(main())
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s669164210
Wrong Answer
p03077
Input is given from Standard Input in the following format: N A B C D E
a = [int(input()) for _ in range(6)] print( max( a[0] + (a[1] - 1) // a[1], a[0] + (a[2] - 1) // a[2], a[0] + (a[3] - 1) // a[3], a[0] + (a[4] - 1) // a[4], a[0] + (a[5] - 1) // a[5], ) + 4 )
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s387300207
Wrong Answer
p03077
Input is given from Standard Input in the following format: N A B C D E
read = input n = int(read()) a = [read() for i in range(5)] a = list(map(int, a)) a = min(a) if n % a == 0: n = n / a else: n = n // a + 1 print(n + 5 - 1)
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s255133675
Accepted
p03077
Input is given from Standard Input in the following format: N A B C D E
print(-(-int(input()) // min([int(input()) for i in range(5)])) + 4)
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s265892178
Accepted
p03077
Input is given from Standard Input in the following format: N A B C D E
def getInt(): return int(input()) def getIntList(): return [int(x) for x in input().split()] def zeros(n): return [0] * n # def zeros(n): return np.zeros(n, dtype=np.longlong) def zeros2(n, m): return [zeros(m) for i in range(n)] # obsoleted zeros((n, m))で代替 INF = 10**18 class Debug: def __init__(self): self.debug = True def off(self): self.debug = False def dmp(self, x, cmt=""): if self.debug: if cmt != "": w = cmt + ": " + str(x) else: w = str(x) print(w) return x def prob(): d = Debug() d.off() N = int(input()) xport = zeros(5) for i in range(5): xport[i] = int(input()) d.dmp((xport), "xport") minCapa = INF for i in range(5): minCapa = min(minCapa, xport[i]) d.dmp((minCapa), "minCapa") minutes = 4 minutes += (N + minCapa - 1) // minCapa d.dmp((minutes), "minutes") return minutes ans = prob() print(ans)
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s123102966
Accepted
p03077
Input is given from Standard Input in the following format: N A B C D E
N = int(input()) a = int(input()) b = int(input()) c = int(input()) d = int(input()) e = int(input()) if min(a, b, c, d, e) == a: if N % a == 0: print(N // a + 4) else: print(N // a + 5) elif min(b, c, d, e) == b: if N % b == 0: print(N // b + 4) else: print(N // b + 5) elif min(c, d, e) == c: if N % c == 0: print(N // c + 4) else: print(N // c + 5) elif min(d, e) == d: if N % d == 0: print(N // d + 4) else: print(N // d + 5) else: if N % e == 0: print(N // e + 4) else: print(N // e + 5)
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s082889279
Wrong Answer
p03077
Input is given from Standard Input in the following format: N A B C D E
l = [int(input()) for _ in range(6)] N = l[0] l = l[1:] c = [0] * 5 for i in range(len(l)): if N > l[i]: c[i] = N - l[i] N = l[i] res = 0 for i in range(len(c)): if c[i] > 0 and i == 0: res += int(c[i] / l[i]) + 1 elif c[i] > 0: if int(c[i] / l[i]) + 1 >= i: nokori = c[i] - int(c[i] / l[i]) * l[i] res += int((c[i] + nokori) / l[i]) print(5 + res)
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s840184463
Wrong Answer
p03077
Input is given from Standard Input in the following format: N A B C D E
N = input() A = input() B = input() C = input() D = input() E = input() N = int(N) A = int(A) B = int(B) C = int(C) D = int(D) E = int(E) a = N // A b = N // B c = N // C d = N // D e = N // E f = max(a, b, c, d, e) if a == b == c == d == e: print(f + 4) else: print(f + 5)
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the minimum time required for all of the people to reach City 6, in minutes. * * *
s785034569
Wrong Answer
p03077
Input is given from Standard Input in the following format: N A B C D E
population = int(input()) a2b = int(input()) b2c = int(input()) c2d = int(input()) d2e = int(input()) e2f = int(input()) city = [population, 0, 0, 0, 0, 0] vehicle = [a2b, b2c, c2d, d2e, e2f] print(round(population / min(vehicle)) + 4)
Statement In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)! There are five means of transport in this empire: * Train: travels from City 1 to 2 in one minute. A train can occupy at most A people. * Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people. * Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people. * Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people. * Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people. For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...). There is a group of N people at City 1, and they all want to go to City 6. At least how long does it take for all of them to reach there? You can ignore the time needed to transfer.
[{"input": "5\n 3\n 2\n 4\n 3\n 5", "output": "7\n \n\nOne possible way to travel is as follows. First, there are N = 5 people at\nCity 1, as shown in the following image:\n\n![ ](https://img.atcoder.jp/ghi/9c306138eddc8a2e08acfa5da19bdfe8.png)\n\nIn the first minute, three people travels from City 1 to City 2 by train. Note\nthat a train can only occupy at most three people.\n\n![ ](https://img.atcoder.jp/ghi/bd30b5ab37fc06951c9f5256bb974e4f.png)\n\nIn the second minute, the remaining two people travels from City 1 to City 2\nby train, and two of the three people who were already at City 2 travels to\nCity 3 by bus. Note that a bus can only occupy at most two people.\n\n![ ](https://img.atcoder.jp/ghi/50f2e49a770a30193fc53588ec8475b3.png)\n\nIn the third minute, two people travels from City 2 to City 3 by train, and\nanother two people travels from City 3 to City 4 by taxi.\n\n![ ](https://img.atcoder.jp/ghi/d6d80dc50abe58190905c8c5ea6ba345.png)\n\nFrom then on, if they continue traveling without stopping until they reach\nCity 6, all of them can reach there in seven minutes. \nThere is no way for them to reach City 6 in 6 minutes or less.\n\n* * *"}, {"input": "10\n 123\n 123\n 123\n 123\n 123", "output": "5\n \n\nAll kinds of vehicles can occupy N = 10 people at a time. Thus, if they\ncontinue traveling without stopping until they reach City 6, all of them can\nreach there in five minutes.\n\n* * *"}, {"input": "10000000007\n 2\n 3\n 5\n 7\n 11", "output": "5000000008\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print the expected value for a search operation on the optimal binary search tree in a line. The output must not contain an error greater than $10^{−4}$.
s197119915
Wrong Answer
p02236
$n$ $p_1$ $p_2$ ... $p_n$ $q_0$ $q_1$ $q_2$ ... $q_n$ In the first line, an integer $n$ which represents the number of keys is given. In the second line, $p_i (1 \le i \le n)$ are given in real numbers with four decimal places. In the third line, $q_i (0 \le i \le n)$ are given in real numbers with four decimal places.
n = int(input()) p = [float(i) for i in input().split()] q = [float(i) for i in input().split()] pq = [q[-1]] * (2 * n + 1) dp = {} for i in range(n): pq[2 * i] = q[i] pq[2 * i + 1] = p[i] pq = [0.0] + pq for j in range(len(pq)): for i in range(len(pq) - j): if j == 0: dp[(i, i + j)] = 0.0 elif j == 1: dp[(i, i + j)] = pq[i + j] else: tmp = 1001 for k in range(j): c = dp[(i, i + k)] + dp[(i + k + 1, i + j)] + sum(pq[i + 1 : i + j + 1]) if c < tmp: if j == len(pq) - 1 and i + k % 2 == 1: continue tmp = c dp[(i, i + j)] = tmp print(dp[(0, 2 * n + 1)])
Optimal Binary Search Tree Optimal Binary Search Tree is a binary search tree constructed from $n$ keys and $n+1$ dummy keys so as to minimize the expected value of cost for a search operation. We are given a sequence $K = {k_1, k_2, ..., k_n}$ of $n$ distinct keys in sorted order $(k_1 < k_2 < ... < k_n)$, and we wish to construct a binary search tree. For each key $k_i$, we have a probability $p_i$ that a search will be for $k_i$. Some searches may be for values not in $K$, and so we also have $n+1$ dummy keys $d_0, d_1, d_2, ..., d_n$ representing values not in $K$. The dummy keys $d_i (0 \le i \le n)$ are defined as follows: * if $i=0$, then $d_i$ represents all values less than $k_1$ * if $i=n$, then $d_i$ represents all values greater than $k_n$ * if $1 \le i \le n-1$, then $d_i$ represents all values between $k_i$ and $k_{i+1}$ For each dummy key $d_i$, we have a probability $q_i$ that a search will correspond to $d_i$. For $p_i (1 \le i \le n)$ and $q_i (0 \le i \le n)$, we have \\[ \sum_{i=1}^n p_i + \sum_{i=0}^n q_i = 1 \\] Then the expected cost of a search in a binary search tree $T$ is \\[ E_T = \sum_{i=1}^n (depth_T(k_i) + 1) \cdot p_i + \sum_{i=0}^n (depth_T(d_i) + 1) \cdot q_i \\] where $depth_T(v)$ is the depth of node $v$ in $T$. For a given set of probabilities, our goal is to construct a binary search tree whose expected search cost is smallest. We call such a tree an **optimal binary search tree**. Each key $k_i$ is an internal node and each dummy key $d_i$ is a leaf. For example, the following figure shows the optimal binary search tree obtained from Sample Input 1. ![](https://judgeapi.u-aizu.ac.jp/resources/images/ALDS1_10_D_tree1)
[{"input": "5\n 0.1500 0.1000 0.0500 0.1000 0.2000\n 0.0500 0.1000 0.0500 0.0500 0.0500 0.1000", "output": "2.75000000"}, {"input": "7\n 0.0400 0.0600 0.0800 0.0200 0.1000 0.1200 0.1400\n 0.0600 0.0600 0.0600 0.0600 0.0500 0.0500 0.0500 0.0500", "output": "3.12000000"}]
For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7). * * *
s994483322
Wrong Answer
p02666
Input is given from Standard Input in the following format: N P_1 P_2 \cdots P_N
import sys input = lambda: sys.stdin.readline().rstrip() sys.setrecursionlimit(max(1000, 10**9)) write = lambda x: sys.stdout.write(x + "\n") class UnionFindTree: def __init__(self, n): self.n = n self.parent = list(range(n)) self.size = [1] * n def root(self, i): inter = set() while self.parent[i] != i: inter.add(i) i = self.parent[i] r = i for i in inter: self.parent[i] = r return r def connect(self, i, j): if i == j: return ri = self.root(i) rj = self.root(j) if ri == rj: return if self.size[ri] < self.size[rj]: self.parent[ri] = rj self.size[rj] += self.size[ri] else: self.parent[rj] = ri self.size[ri] += self.size[rj] n = int(input()) uf = UnionFindTree(n) ps = list(map(int, input().split())) k = 0 for i, p in enumerate(ps): if p < 0: k += 1 continue uf.connect(i, p - 1) for i in range(n): uf.root(i) from collections import Counter, defaultdict M = 10**9 + 7 ncount = Counter(uf.parent) mcount = defaultdict(int) for i, g in enumerate(uf.parent): if ps[i] == -1: mcount[g] += 1 ans = sum(v - 1 for v in ncount.values()) ans *= pow(n - 1, k, M) for kk in ncount.keys(): ncount[kk] -= mcount[kk] for kk, mm in mcount.items(): if mm == 0: continue nn = ncount[kk] ans += (n - mm - nn) * pow(n - 1, k - 1, M) * mm ans %= M nums = [nn + mcount[k] for k, nn in ncount.items() if mcount[k]] l = len(nums) dp = [[0] * l for _ in range(l)] # dp[i][j] : i番目まで使うときの周期j+1の個数 if nums: dp[0][0] = nums[0] for i in range(1, l): dp[i][0] = dp[i - 1][0] + nums[i] for i in range(1, l): for j in range(1, l): dp[i][j] += dp[i - 1][j - 1] * nums[i] * j + dp[i - 1][j] dp[i][j] %= M for j in range(1, l): ans -= dp[-1][j] * pow(n - 1, l - j - 1, M) print(ans)
Statement There are N towns numbered 1, 2, \cdots, N. Some roads are planned to be built so that each of them connects two distinct towns bidirectionally. Currently, there are no roads connecting towns. In the planning of construction, each town chooses one town different from itself and requests the following: roads are built so that the chosen town is reachable from itself using one or more roads. These requests from the towns are represented by an array P_1, P_2, \cdots, P_N. If P_i = -1, it means that Town i has not chosen the request; if 1 \leq P_i \leq N, it means that Town i has chosen Town P_i. Let K be the number of towns i such that P_i = -1. There are (N-1)^K ways in which the towns can make the requests. For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7).
[{"input": "4\n 2 1 -1 3", "output": "8\n \n\nThere are three ways to make requests, as follows:\n\n * Choose P_1 = 2, P_2 = 1, P_3 = 1, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 2, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 4, P_4 = 3. In this case, at least two roads - for example, (1,2),(3,4) \\- are needed to meet the requests.\n\nNote that it is not mandatory to connect Town i and Town P_i directly.\n\nThe sum of the above numbers is 8.\n\n* * *"}, {"input": "2\n 2 1", "output": "1\n \n\nThere may be just one fixed way to make requests.\n\n* * *"}, {"input": "10\n 2 6 9 -1 6 9 -1 -1 -1 -1", "output": "527841"}]
For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7). * * *
s361408420
Wrong Answer
p02666
Input is given from Standard Input in the following format: N P_1 P_2 \cdots P_N
N = int(input()) A = list(map(int, input().split())) MOD = 10**9 + 7 yet = [] belongto = [-1] * N group = [] groupsize = [] for i in range(N): if A[i] > 0: nex = A[i] - 1 if belongto[nex] < 0 and belongto[i] < 0: belongto[nex] = len(group) belongto[i] = len(group) group.append([i + 1, A[i]]) elif belongto[nex] >= 0 and belongto[i] < 0: belongto[i] = belongto[nex] group[belongto[A[i] - 1]].append(i + 1) elif belongto[nex] < 0 and belongto[i] >= 0: belongto[nex] = belongto[i] group[belongto[i]].append(A[i]) elif belongto[nex] == belongto[i]: continue elif belongto[nex] >= 0 and belongto[i] >= 0: ori_group = belongto[nex] for j in group[belongto[nex]]: belongto[j - 1] = belongto[i] group[belongto[i]] += group[ori_group] group[ori_group] = [] elif A[i] < 0: yet.append(i + 1) if belongto[i] == -1: belongto[i] = len(group) group.append([i + 1]) for i in range(len(group)): groupsize.append(len(group[i])) if len(yet) > 0: comb = [[0] * len(yet) for _ in range(len(yet))] comb[0][0] = groupsize[belongto[yet[0] - 1]] - 1 for i in range(len(yet) - 1): comb[i + 1][0] = comb[i][0] + groupsize[belongto[yet[i + 1] - 1]] - 1 comb[i + 1][1] = ( (comb[i][0] + i + 1) * groupsize[belongto[yet[i + 1] - 1]] ) % MOD for j in range(1, i + 1): comb[i + 1][j] = comb[i][j] + comb[i + 1][j] comb[i + 1][j + 1] = ( comb[i][j] * groupsize[belongto[yet[i + 1] - 1]] * (j + 1) ) % MOD groupnum = 0 for agroup in group: if len(agroup) > 0: groupnum += 1 del group del belongto del A total = (N - (groupnum - len(yet))) % MOD if len(yet) == 0: print(total) else: for i in range(len(yet)): total = (total * (N - 1)) % MOD total = total - comb[len(yet) - 1][i] print(total)
Statement There are N towns numbered 1, 2, \cdots, N. Some roads are planned to be built so that each of them connects two distinct towns bidirectionally. Currently, there are no roads connecting towns. In the planning of construction, each town chooses one town different from itself and requests the following: roads are built so that the chosen town is reachable from itself using one or more roads. These requests from the towns are represented by an array P_1, P_2, \cdots, P_N. If P_i = -1, it means that Town i has not chosen the request; if 1 \leq P_i \leq N, it means that Town i has chosen Town P_i. Let K be the number of towns i such that P_i = -1. There are (N-1)^K ways in which the towns can make the requests. For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7).
[{"input": "4\n 2 1 -1 3", "output": "8\n \n\nThere are three ways to make requests, as follows:\n\n * Choose P_1 = 2, P_2 = 1, P_3 = 1, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 2, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 4, P_4 = 3. In this case, at least two roads - for example, (1,2),(3,4) \\- are needed to meet the requests.\n\nNote that it is not mandatory to connect Town i and Town P_i directly.\n\nThe sum of the above numbers is 8.\n\n* * *"}, {"input": "2\n 2 1", "output": "1\n \n\nThere may be just one fixed way to make requests.\n\n* * *"}, {"input": "10\n 2 6 9 -1 6 9 -1 -1 -1 -1", "output": "527841"}]
For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7). * * *
s854113896
Wrong Answer
p02666
Input is given from Standard Input in the following format: N P_1 P_2 \cdots P_N
N = int(input()) P_list = list(map(int, input().split())) class UnionFind: def __init__(self, n): self.groups = [g for g in range(n)] def get_root(self, node): parent = self.groups[node] if parent == node: return parent else: root = parent parent = self.groups[parent] while root != parent: root = parent parent = self.groups[parent] while node != root: tmp = self.groups[node] self.groups[node] = root node = tmp return root def set_root(self, node, root): parent = self.groups[node] while parent != root: self.groups[node] = root node = parent parent = self.groups[node] def combine(self, i1, i2): self.set_root(i2, self.get_root(i1)) def in_same_group(self, i1, i2): return self.get_root(i1) == self.get_root(i2) def to_counts(self): table = [None] * len(self.groups) for i in range(len(self.groups)): g = self.get_root(i) if table[g] != None: table[g] += 1 else: table[g] = 1 for i in range(len(self.groups)): table[i] = table[self.get_root(i)] return table def to_list_list(self): table = [[] for _ in range(len(self.groups))] for i in range(len(self.groups)): g = self.get_root(i) if table[g] != None: table[g].append(i) else: table[g] = [i] for i in range(len(self.groups)): table[i] = table[self.get_root(i)] return table def to_dic(self): table = {} for i in range(len(self.groups)): g = self.get_root(i) if g in table: table[g].append(i) else: table[g] = [i] return table def to_list(self): table = self.to_dic() return [table[g] for g in table] uf = UnionFind(N) not_decided = set() for i, p in enumerate(P_list): if p >= 1: p -= 1 uf.combine(i, p) else: not_decided.add(i) total_bridges = 0 groups = uf.to_list() not_decided_counts = [] for group in groups: count = 0 for i in group: if i in not_decided: count += 1 not_decided_counts.append(count) total_bridges += len(group) - 1 # print(groups) # print(not_decided_counts) # print(total_bridges) M = 10**9 + 7 not_decided_count = len(not_decided) total = ((total_bridges + not_decided_count) * pow(N - 1, not_decided_count, M)) % M for i in range(len(groups)): g1 = groups[i] c1 = not_decided_counts[i] if c1 > 0: l1 = len(g1) total = (total - (l1 - 1) * pow(N - 1, not_decided_count - c1, M)) % M for j in range(i + 1, len(groups)): g2 = groups[j] c2 = not_decided_counts[j] if c2 > 0: l2 = len(g2) # print(not_decided_count, c1, c2) total = ( total - (l1 * l2) * pow(N - 1, not_decided_count - c1 - c2, M) ) % M print(total)
Statement There are N towns numbered 1, 2, \cdots, N. Some roads are planned to be built so that each of them connects two distinct towns bidirectionally. Currently, there are no roads connecting towns. In the planning of construction, each town chooses one town different from itself and requests the following: roads are built so that the chosen town is reachable from itself using one or more roads. These requests from the towns are represented by an array P_1, P_2, \cdots, P_N. If P_i = -1, it means that Town i has not chosen the request; if 1 \leq P_i \leq N, it means that Town i has chosen Town P_i. Let K be the number of towns i such that P_i = -1. There are (N-1)^K ways in which the towns can make the requests. For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7).
[{"input": "4\n 2 1 -1 3", "output": "8\n \n\nThere are three ways to make requests, as follows:\n\n * Choose P_1 = 2, P_2 = 1, P_3 = 1, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 2, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 4, P_4 = 3. In this case, at least two roads - for example, (1,2),(3,4) \\- are needed to meet the requests.\n\nNote that it is not mandatory to connect Town i and Town P_i directly.\n\nThe sum of the above numbers is 8.\n\n* * *"}, {"input": "2\n 2 1", "output": "1\n \n\nThere may be just one fixed way to make requests.\n\n* * *"}, {"input": "10\n 2 6 9 -1 6 9 -1 -1 -1 -1", "output": "527841"}]
For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7). * * *
s389517821
Wrong Answer
p02666
Input is given from Standard Input in the following format: N P_1 P_2 \cdots P_N
def dfs(i): stack = [i] used[i] = True cnt = 1 is_white = False while stack: v = stack.pop() if p[v] == -1: is_white = True for nxt_v in graph[v]: if used[nxt_v]: continue stack.append(nxt_v) used[nxt_v] = True cnt += 1 return cnt, is_white n = int(input()) p = list(map(int, input().split())) MOD = 10**9 + 7 graph = [set() for i in range(n)] for a in range(n): if p[a] == -1: continue b = p[a] - 1 graph[a].add(b) graph[b].add(a) used = [False] * n white = [] black = [] for i in range(n): if not used[i]: cnt, is_white = dfs(i) if is_white: white.append(cnt) else: black.append(cnt) # S[i][j] := i個(区別する)をkグループ(区別しない)に分ける場合の数 box = len(white) ball = len(white) ru_white = [0] * (len(white) + 1) for i in range(len(white)): ru_white[i + 1] = ru_white[i] + white[i] S = [[0] * (box + 1) for i in range(ball + 1)] S[0][0] = 1 for i in range(ball): for j in range(box): S[i + 1][j + 1] = S[i][j] + S[i][j + 1] * ru_white[j + 1] S[i + 1][j + 1] %= MOD # わかりません print(sum(S[-1]))
Statement There are N towns numbered 1, 2, \cdots, N. Some roads are planned to be built so that each of them connects two distinct towns bidirectionally. Currently, there are no roads connecting towns. In the planning of construction, each town chooses one town different from itself and requests the following: roads are built so that the chosen town is reachable from itself using one or more roads. These requests from the towns are represented by an array P_1, P_2, \cdots, P_N. If P_i = -1, it means that Town i has not chosen the request; if 1 \leq P_i \leq N, it means that Town i has chosen Town P_i. Let K be the number of towns i such that P_i = -1. There are (N-1)^K ways in which the towns can make the requests. For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7).
[{"input": "4\n 2 1 -1 3", "output": "8\n \n\nThere are three ways to make requests, as follows:\n\n * Choose P_1 = 2, P_2 = 1, P_3 = 1, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 2, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 4, P_4 = 3. In this case, at least two roads - for example, (1,2),(3,4) \\- are needed to meet the requests.\n\nNote that it is not mandatory to connect Town i and Town P_i directly.\n\nThe sum of the above numbers is 8.\n\n* * *"}, {"input": "2\n 2 1", "output": "1\n \n\nThere may be just one fixed way to make requests.\n\n* * *"}, {"input": "10\n 2 6 9 -1 6 9 -1 -1 -1 -1", "output": "527841"}]
For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7). * * *
s446085387
Wrong Answer
p02666
Input is given from Standard Input in the following format: N P_1 P_2 \cdots P_N
def main(): N = int(input()) P = list(map(int, input().split())) mod = pow(10, 9) + 7 a = set() for i in range(N): if P[i] != -1: if i < P[i] - 1: a.add((i, P[i] - 1)) else: a.add((P[i] - 1, i)) l = len(a) % mod if -1 not in P: return l parent = [i for i in range(N)] def find(parent, i): if i != parent[i]: parent[i] = find(parent, parent[i]) return parent[i] def union(parent, i, j): pi, pj = find(parent, i), find(parent, j) if pi != pj: parent[pi] = pj for i in range(N): if P[i] != -1: union(parent, i, P[i] - 1) for i in range(N): find(parent, i) ans = 0 for i in range(N): if P[i] == -1: for j in range(N): if j != i: if parent[i] != parent[j]: ans += l + 1 else: ans += l ans %= mod return ans if __name__ == "__main__": print(main())
Statement There are N towns numbered 1, 2, \cdots, N. Some roads are planned to be built so that each of them connects two distinct towns bidirectionally. Currently, there are no roads connecting towns. In the planning of construction, each town chooses one town different from itself and requests the following: roads are built so that the chosen town is reachable from itself using one or more roads. These requests from the towns are represented by an array P_1, P_2, \cdots, P_N. If P_i = -1, it means that Town i has not chosen the request; if 1 \leq P_i \leq N, it means that Town i has chosen Town P_i. Let K be the number of towns i such that P_i = -1. There are (N-1)^K ways in which the towns can make the requests. For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7).
[{"input": "4\n 2 1 -1 3", "output": "8\n \n\nThere are three ways to make requests, as follows:\n\n * Choose P_1 = 2, P_2 = 1, P_3 = 1, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 2, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 4, P_4 = 3. In this case, at least two roads - for example, (1,2),(3,4) \\- are needed to meet the requests.\n\nNote that it is not mandatory to connect Town i and Town P_i directly.\n\nThe sum of the above numbers is 8.\n\n* * *"}, {"input": "2\n 2 1", "output": "1\n \n\nThere may be just one fixed way to make requests.\n\n* * *"}, {"input": "10\n 2 6 9 -1 6 9 -1 -1 -1 -1", "output": "527841"}]
For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7). * * *
s315932548
Runtime Error
p02666
Input is given from Standard Input in the following format: N P_1 P_2 \cdots P_N
import sys import numpy as np def Ii(): return int(sys.stdin.buffer.readline()) def Mi(): return map(int, sys.stdin.buffer.readline().split()) def Li(): return list(map(int, sys.stdin.buffer.readline().split())) n = Ii() a = Li() b = [0] * (n + 1) bm = [0] * (n + 1) b[0] = 1 bm[-1] = a[-1] for i in range(1, n + 1): bm[-1 - i] = bm[-i] + a[-i - 1] b[i] = (b[i - 1] - a[i - 1]) * 2 b = np.array(b) bm = np.array(bm) c = np.amin([[b], [bm]], axis=0) if np.any(c == 0): print(-1) else: print(np.sum(c))
Statement There are N towns numbered 1, 2, \cdots, N. Some roads are planned to be built so that each of them connects two distinct towns bidirectionally. Currently, there are no roads connecting towns. In the planning of construction, each town chooses one town different from itself and requests the following: roads are built so that the chosen town is reachable from itself using one or more roads. These requests from the towns are represented by an array P_1, P_2, \cdots, P_N. If P_i = -1, it means that Town i has not chosen the request; if 1 \leq P_i \leq N, it means that Town i has chosen Town P_i. Let K be the number of towns i such that P_i = -1. There are (N-1)^K ways in which the towns can make the requests. For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7).
[{"input": "4\n 2 1 -1 3", "output": "8\n \n\nThere are three ways to make requests, as follows:\n\n * Choose P_1 = 2, P_2 = 1, P_3 = 1, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 2, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 4, P_4 = 3. In this case, at least two roads - for example, (1,2),(3,4) \\- are needed to meet the requests.\n\nNote that it is not mandatory to connect Town i and Town P_i directly.\n\nThe sum of the above numbers is 8.\n\n* * *"}, {"input": "2\n 2 1", "output": "1\n \n\nThere may be just one fixed way to make requests.\n\n* * *"}, {"input": "10\n 2 6 9 -1 6 9 -1 -1 -1 -1", "output": "527841"}]
For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7). * * *
s969348767
Wrong Answer
p02666
Input is given from Standard Input in the following format: N P_1 P_2 \cdots P_N
import unittest class UnionFind: def __init__(self, size: int): # 負の値はルート (集合の代表) で集合の個数 # 正の値は次の要素を表す self.size = size self.parent = [-1] * size def find(self, x: int) -> int: """ xを含む集合の代表を求める """ if self.parent[x] < 0: return x # 集合の代表にリンクを繋ぎ変える same_group_items = [] while self.parent[x] >= 0: same_group_items.append(x) x = self.parent[x] for child in same_group_items: self.parent[child] = x return x def unite(self, x: int, y: int): """ xを含む集合とyを含む集合を併合する """ root_x = self.find(x) root_y = self.find(y) if root_x != root_y: if self.parent[root_x] >= self.parent[root_y]: self.parent[root_x] += self.parent[root_y] self.parent[root_y] = root_x else: self.parent[root_y] += self.parent[root_x] self.parent[root_x] = root_y def same(self, x: int, y: int) -> bool: return self.find(x) == self.find(y) def count_group(self) -> int: """ 集合の数を数える。 """ count = 0 for i in range(self.size): if self.parent[i] < 0: count += 1 return count def get_size(self, x): return -1 * self.parent[self.find(x)] def solve(n, ps): mod = 10**9 + 7 undefs = [] uf = UnionFind(n) base_cost = 0 for i in range(n): if ps[i] == -1: undefs.append(i) else: p = ps[i] - 1 if not uf.same(p, i): base_cost += 1 uf.unite(p, i) n_undef = len(undefs) n_undef_pattern_p = pow(n - 1, n_undef - 2, mod) n_undef_pattern = n_undef_pattern_p * (n - 1) * (n - 1) % mod base_cost = base_cost * n_undef_pattern cost = 0 for i, p in enumerate(undefs): m = uf.get_size(p) - 1 cost += (n - 1 - m) * n_undef_pattern_p * (n - 1) cost -= i * n_undef_pattern_p * (n - 2) cost %= mod # print(base_cost, cost, n_undef, n_undef_pattern) return (base_cost + cost) % mod def main(): n = int(input()) ps = list(map(int, input().split())) result = solve(n, ps) print(result) class Test(unittest.TestCase): def test_solve_1(self): n = 4 p = [2, 1, -1, 3] actual = solve(n, p) expected = 8 self.assertEqual(actual, expected) def test_solve_2(self): n = 2 p = [2, 1] actual = solve(n, p) expected = 1 self.assertEqual(actual, expected) def test_solve_3(self): n = 10 p = [2, 6, 9, -1, 6, 9, -1, -1, -1, -1] actual = solve(n, p) expected = 527841 self.assertEqual(actual, expected) def test_solve_4(self): n = 2 p = [2, -1] actual = solve(n, p) expected = 1 self.assertEqual(actual, expected) def test_solve_5(self): n = 2 p = [-1, -1] actual = solve(n, p) expected = 1 self.assertEqual(actual, expected) def test_solve_6(self): n = 3 p = [-1, -1, -1] actual = solve(n, p) expected = 16 self.assertEqual(actual, expected) def test_solve_7(self): n = 4 p = [-1, -1, -1, -1] actual = solve(n, p) expected = 240 self.assertEqual(actual, expected) def test_solve_8(self): n = 4 p = [2, -1, -1, -1] actual = solve(n, p) expected = 80 self.assertEqual(actual, expected) if __name__ == "__main__": main()
Statement There are N towns numbered 1, 2, \cdots, N. Some roads are planned to be built so that each of them connects two distinct towns bidirectionally. Currently, there are no roads connecting towns. In the planning of construction, each town chooses one town different from itself and requests the following: roads are built so that the chosen town is reachable from itself using one or more roads. These requests from the towns are represented by an array P_1, P_2, \cdots, P_N. If P_i = -1, it means that Town i has not chosen the request; if 1 \leq P_i \leq N, it means that Town i has chosen Town P_i. Let K be the number of towns i such that P_i = -1. There are (N-1)^K ways in which the towns can make the requests. For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7).
[{"input": "4\n 2 1 -1 3", "output": "8\n \n\nThere are three ways to make requests, as follows:\n\n * Choose P_1 = 2, P_2 = 1, P_3 = 1, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 2, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 4, P_4 = 3. In this case, at least two roads - for example, (1,2),(3,4) \\- are needed to meet the requests.\n\nNote that it is not mandatory to connect Town i and Town P_i directly.\n\nThe sum of the above numbers is 8.\n\n* * *"}, {"input": "2\n 2 1", "output": "1\n \n\nThere may be just one fixed way to make requests.\n\n* * *"}, {"input": "10\n 2 6 9 -1 6 9 -1 -1 -1 -1", "output": "527841"}]
For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7). * * *
s663180289
Wrong Answer
p02666
Input is given from Standard Input in the following format: N P_1 P_2 \cdots P_N
N = int(input()) cityList = list(map(int, input().split())) result = 0 for index, toCity in enumerate(cityList): if toCity == -1: continue if toCity > cityList[toCity - 1]: continue result += 1 print(result)
Statement There are N towns numbered 1, 2, \cdots, N. Some roads are planned to be built so that each of them connects two distinct towns bidirectionally. Currently, there are no roads connecting towns. In the planning of construction, each town chooses one town different from itself and requests the following: roads are built so that the chosen town is reachable from itself using one or more roads. These requests from the towns are represented by an array P_1, P_2, \cdots, P_N. If P_i = -1, it means that Town i has not chosen the request; if 1 \leq P_i \leq N, it means that Town i has chosen Town P_i. Let K be the number of towns i such that P_i = -1. There are (N-1)^K ways in which the towns can make the requests. For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7).
[{"input": "4\n 2 1 -1 3", "output": "8\n \n\nThere are three ways to make requests, as follows:\n\n * Choose P_1 = 2, P_2 = 1, P_3 = 1, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 2, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 4, P_4 = 3. In this case, at least two roads - for example, (1,2),(3,4) \\- are needed to meet the requests.\n\nNote that it is not mandatory to connect Town i and Town P_i directly.\n\nThe sum of the above numbers is 8.\n\n* * *"}, {"input": "2\n 2 1", "output": "1\n \n\nThere may be just one fixed way to make requests.\n\n* * *"}, {"input": "10\n 2 6 9 -1 6 9 -1 -1 -1 -1", "output": "527841"}]
For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7). * * *
s585317144
Wrong Answer
p02666
Input is given from Standard Input in the following format: N P_1 P_2 \cdots P_N
N = int(input()) P = list(map(int, input().split())) NUM = 10**9 + 7 for i in range(len(P)): P[i] -= 1 # 基本的な道の数 # 既知→未知の道の数 base = N cnt = 0 k_unk_num = 0 for i, value in enumerate(P): if value >= 0: if P[value] == i: cnt += 1 elif P[value] == -2: k_unk_num += 1 base -= cnt // 2 # 未知の道の数 unknown_num = 0 for i in P: if i < 0: unknown_num += 1 # print(base, unknown_num, k_unk_num) ans = 0 ans = (ans + base * (N - 1) ** unknown_num) % NUM # print(ans) ans = int(ans - k_unk_num * (N - 1) ** (unknown_num - 1) + NUM) % NUM # print(ans) if unknown_num > 1: ans = ( ans - (unknown_num * (unknown_num - 1) // 2) * (N - 1) ** (unknown_num - 2) + NUM ) % NUM print(ans)
Statement There are N towns numbered 1, 2, \cdots, N. Some roads are planned to be built so that each of them connects two distinct towns bidirectionally. Currently, there are no roads connecting towns. In the planning of construction, each town chooses one town different from itself and requests the following: roads are built so that the chosen town is reachable from itself using one or more roads. These requests from the towns are represented by an array P_1, P_2, \cdots, P_N. If P_i = -1, it means that Town i has not chosen the request; if 1 \leq P_i \leq N, it means that Town i has chosen Town P_i. Let K be the number of towns i such that P_i = -1. There are (N-1)^K ways in which the towns can make the requests. For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7).
[{"input": "4\n 2 1 -1 3", "output": "8\n \n\nThere are three ways to make requests, as follows:\n\n * Choose P_1 = 2, P_2 = 1, P_3 = 1, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 2, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 4, P_4 = 3. In this case, at least two roads - for example, (1,2),(3,4) \\- are needed to meet the requests.\n\nNote that it is not mandatory to connect Town i and Town P_i directly.\n\nThe sum of the above numbers is 8.\n\n* * *"}, {"input": "2\n 2 1", "output": "1\n \n\nThere may be just one fixed way to make requests.\n\n* * *"}, {"input": "10\n 2 6 9 -1 6 9 -1 -1 -1 -1", "output": "527841"}]
For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7). * * *
s660910515
Wrong Answer
p02666
Input is given from Standard Input in the following format: N P_1 P_2 \cdots P_N
mod = 10**9 + 7 def modInv(x, m=mod): return pow(x, m - 2, m) % m def modDiv(x, y, m=mod): return x * modInv(y, m) % m def modnCr(n, r, m=mod): if n == 0: return 0 if r > n - r: r = n - r denom = 1 numer = 1 for i in range(r): denom = (n - i) * denom % m numer = (i + 1) * numer % m return modInv(numer, m) * denom % m n = int(input().strip()) L = list(map(int, input().strip().split())) to = [set() for _ in range(n)] default = 0 k = 0 for i, v in enumerate(L): if v == -1: k += 1 continue if v - 1 not in to[i]: default += 1 to[i].add(v - 1) to[v - 1].add(i) already = 0 for i in range(n): if L[i] == -1: already += len(to[i]) ans = (default + k) * pow(n - 1, k, mod) % mod if k: ans -= pow((already + modnCr(k, 2)) * (n - 1) % mod, k - 1, mod) print(ans % mod)
Statement There are N towns numbered 1, 2, \cdots, N. Some roads are planned to be built so that each of them connects two distinct towns bidirectionally. Currently, there are no roads connecting towns. In the planning of construction, each town chooses one town different from itself and requests the following: roads are built so that the chosen town is reachable from itself using one or more roads. These requests from the towns are represented by an array P_1, P_2, \cdots, P_N. If P_i = -1, it means that Town i has not chosen the request; if 1 \leq P_i \leq N, it means that Town i has chosen Town P_i. Let K be the number of towns i such that P_i = -1. There are (N-1)^K ways in which the towns can make the requests. For each way to make requests, find the minimum number of roads needed to meet all the requests, and print the sum of those (N-1)^K numbers, modulo (10^9+7).
[{"input": "4\n 2 1 -1 3", "output": "8\n \n\nThere are three ways to make requests, as follows:\n\n * Choose P_1 = 2, P_2 = 1, P_3 = 1, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 2, P_4 = 3. In this case, at least three roads - for example, (1,2),(1,3),(3,4) \\- are needed to meet the requests.\n * Choose P_1 = 2, P_2 = 1, P_3 = 4, P_4 = 3. In this case, at least two roads - for example, (1,2),(3,4) \\- are needed to meet the requests.\n\nNote that it is not mandatory to connect Town i and Town P_i directly.\n\nThe sum of the above numbers is 8.\n\n* * *"}, {"input": "2\n 2 1", "output": "1\n \n\nThere may be just one fixed way to make requests.\n\n* * *"}, {"input": "10\n 2 6 9 -1 6 9 -1 -1 -1 -1", "output": "527841"}]
Output Q lines. On line i, for the i-th query, output an integer indicating the sequence of the string S_{k_i} among the N strings in lexicographical order. * * *
s359401108
Wrong Answer
p03974
Inputs are provided from standard inputs in the following form. N S_1 : S_N Q k_1 p_{1,1}p_{1,2}...p_{1,26} : k_Q p_{Q,1}p_{Q,2}...p_{Q,26}
import math def conv26to10(S, k): num10 = 0 j = 0 for i in reversed(range(len(S))): # print(i) key = k.find(S[i]) num10 = key * math.pow(26, j) + num10 # print(num10) j = j + 1 return num10 if __name__ == "__main__": N = int(input()) S = [str(input()) for i in range(N)] Q = int(input()) K = [[str(i) for i in input().split()] for i in range(Q)] numlist = [0] * N for query in range(Q): for i in range(N): numlist[i] = conv26to10(S[i], K[query][1]) target = sorted(numlist)[int(K[query][0]) - 1] print(numlist.index(target) + 1)
Statement There are N strings of lowercase alphabet only. The i-th string is S_i. Every string is unique. Provide answers for the Q queries below. The i-th query has the following format: Query: An integer k_i and a string p_{i,1}p_{i,2}...p_{i,26} that results from permuting {`a`,`b`,...,`z`} are given. Output the sequence of the string S_{k_i} among the N strings in lexicographical order when the literal sequence is p_{i,1}<p_{i,2}<...<p_{i,26}.
[{"input": "5\n aa\n abbaa\n abbba\n aaab\n aaaaaba\n 5\n 1 abcdefghijklmnopqrstuvwxyz\n 2 bacdefghijklmnopqrstuvwxyz\n 3 abcdefghijklmnopqrstuvwxyz\n 4 bacdefghijklmnopqrstuvwxyz\n 5 abcdefghijklmnopqrstuvwxyz", "output": "1\n 2\n 5\n 4\n 2\n \n\nWhen the literal sequence is `a` < `b`, sorting the input strings in\nlexicographical order yields `aa`, `aaaaaba`, `aaab`, `abbaa`, `abbba`. The\nanswers to queries 1, 3, and 5 are thus 1, 5, and 2, respectively.\n\nWhen the literal sequence is `b` < `a`, sorting the input strings in\nlexicographical order yields `abbba`, `abbaa`, `aa`, `aaab`, `aaaaaba`. The\nanswers to queries 2 and 4 are thus 2 and 4, respectively.\n\n* * *"}, {"input": "8\n abrakatabra\n abadaba\n abracadabra\n atcoder\n grand\n contest\n ababa\n a\n 6\n 3 abcdefghijklmnopqrstuvwxyz\n 6 qwertyuiopasdfghjklzxcvbnm\n 8 poiuytrewqlkjhgfdsamnbvcxz\n 2 qazwsxedcrfvtgbyhnujmikolp\n 1 plokmijnuhbygvtfcrdxeszwaq\n 4 mnbvcxzasdfghjklpoiuytrewq", "output": "4\n 8\n 2\n 3\n 4\n 7"}]
Output Q lines. On line i, for the i-th query, output an integer indicating the sequence of the string S_{k_i} among the N strings in lexicographical order. * * *
s448854847
Runtime Error
p03974
Inputs are provided from standard inputs in the following form. N S_1 : S_N Q k_1 p_{1,1}p_{1,2}...p_{1,26} : k_Q p_{Q,1}p_{Q,2}...p_{Q,26}
import array R = range L = input T = [0] * 28 N = int(L()) S = [] U = N * 26**2 * array.array("i", [0]) V = N * [0] Q = int(L()) for I in R(N): S += [[ord(C) - 95 for C in L()]] P = 0 for C in S[I]: if T[P + C] == 0: T[P + C] = len(T) T += [0] * 28 T[P] += 1 P = T[P + C] T[P] += 1 T[P + 1] = 1 while N: N -= 1 P = 0 for C in S[N]: for A in R(26): X = T[P + A + 2] if (A != C - 2) * X: U[676 * N + 26 * A + C - 2] += T[X] V[N] += T[P + 1] P = T[P + C] while Q: K, P = L().split() K = int(K) - 1 P = [ord(C) - 97 for C in P] X = 1 + V[K] for A in R(26): for B in R(A + 1, 26): X += U[676 * K + 26 * P[A] + P[B]] print(X) Q -= 1
Statement There are N strings of lowercase alphabet only. The i-th string is S_i. Every string is unique. Provide answers for the Q queries below. The i-th query has the following format: Query: An integer k_i and a string p_{i,1}p_{i,2}...p_{i,26} that results from permuting {`a`,`b`,...,`z`} are given. Output the sequence of the string S_{k_i} among the N strings in lexicographical order when the literal sequence is p_{i,1}<p_{i,2}<...<p_{i,26}.
[{"input": "5\n aa\n abbaa\n abbba\n aaab\n aaaaaba\n 5\n 1 abcdefghijklmnopqrstuvwxyz\n 2 bacdefghijklmnopqrstuvwxyz\n 3 abcdefghijklmnopqrstuvwxyz\n 4 bacdefghijklmnopqrstuvwxyz\n 5 abcdefghijklmnopqrstuvwxyz", "output": "1\n 2\n 5\n 4\n 2\n \n\nWhen the literal sequence is `a` < `b`, sorting the input strings in\nlexicographical order yields `aa`, `aaaaaba`, `aaab`, `abbaa`, `abbba`. The\nanswers to queries 1, 3, and 5 are thus 1, 5, and 2, respectively.\n\nWhen the literal sequence is `b` < `a`, sorting the input strings in\nlexicographical order yields `abbba`, `abbaa`, `aa`, `aaab`, `aaaaaba`. The\nanswers to queries 2 and 4 are thus 2 and 4, respectively.\n\n* * *"}, {"input": "8\n abrakatabra\n abadaba\n abracadabra\n atcoder\n grand\n contest\n ababa\n a\n 6\n 3 abcdefghijklmnopqrstuvwxyz\n 6 qwertyuiopasdfghjklzxcvbnm\n 8 poiuytrewqlkjhgfdsamnbvcxz\n 2 qazwsxedcrfvtgbyhnujmikolp\n 1 plokmijnuhbygvtfcrdxeszwaq\n 4 mnbvcxzasdfghjklpoiuytrewq", "output": "4\n 8\n 2\n 3\n 4\n 7"}]
Output Q lines. On line i, for the i-th query, output an integer indicating the sequence of the string S_{k_i} among the N strings in lexicographical order. * * *
s978772386
Wrong Answer
p03974
Inputs are provided from standard inputs in the following form. N S_1 : S_N Q k_1 p_{1,1}p_{1,2}...p_{1,26} : k_Q p_{Q,1}p_{Q,2}...p_{Q,26}
N = int(input()) S = [] for i in range(N): S.append(input()) Q = int(input()) kp = [] orderd = "abcdefghijklmnopqrstuvwxyz" for i in range(Q): l = input() kp.append([int(l.split()[0]), l.split()[1]]) SS = sorted(S) for i, s in enumerate(kp): if s[1] == orderd: print(SS.index(S[s[0] - 1]) + 1) else: print(i + 1)
Statement There are N strings of lowercase alphabet only. The i-th string is S_i. Every string is unique. Provide answers for the Q queries below. The i-th query has the following format: Query: An integer k_i and a string p_{i,1}p_{i,2}...p_{i,26} that results from permuting {`a`,`b`,...,`z`} are given. Output the sequence of the string S_{k_i} among the N strings in lexicographical order when the literal sequence is p_{i,1}<p_{i,2}<...<p_{i,26}.
[{"input": "5\n aa\n abbaa\n abbba\n aaab\n aaaaaba\n 5\n 1 abcdefghijklmnopqrstuvwxyz\n 2 bacdefghijklmnopqrstuvwxyz\n 3 abcdefghijklmnopqrstuvwxyz\n 4 bacdefghijklmnopqrstuvwxyz\n 5 abcdefghijklmnopqrstuvwxyz", "output": "1\n 2\n 5\n 4\n 2\n \n\nWhen the literal sequence is `a` < `b`, sorting the input strings in\nlexicographical order yields `aa`, `aaaaaba`, `aaab`, `abbaa`, `abbba`. The\nanswers to queries 1, 3, and 5 are thus 1, 5, and 2, respectively.\n\nWhen the literal sequence is `b` < `a`, sorting the input strings in\nlexicographical order yields `abbba`, `abbaa`, `aa`, `aaab`, `aaaaaba`. The\nanswers to queries 2 and 4 are thus 2 and 4, respectively.\n\n* * *"}, {"input": "8\n abrakatabra\n abadaba\n abracadabra\n atcoder\n grand\n contest\n ababa\n a\n 6\n 3 abcdefghijklmnopqrstuvwxyz\n 6 qwertyuiopasdfghjklzxcvbnm\n 8 poiuytrewqlkjhgfdsamnbvcxz\n 2 qazwsxedcrfvtgbyhnujmikolp\n 1 plokmijnuhbygvtfcrdxeszwaq\n 4 mnbvcxzasdfghjklpoiuytrewq", "output": "4\n 8\n 2\n 3\n 4\n 7"}]
Output Q lines. On line i, for the i-th query, output an integer indicating the sequence of the string S_{k_i} among the N strings in lexicographical order. * * *
s577403388
Wrong Answer
p03974
Inputs are provided from standard inputs in the following form. N S_1 : S_N Q k_1 p_{1,1}p_{1,2}...p_{1,26} : k_Q p_{Q,1}p_{Q,2}...p_{Q,26}
N = int(input()) S = [input() for _ in range(N)] Q = int(input()) S.sort() k, p = zip(*map(lambda x: (int(x[0]), x[1]), [input().split() for _ in range(Q)])) for q in range(Q): print(q)
Statement There are N strings of lowercase alphabet only. The i-th string is S_i. Every string is unique. Provide answers for the Q queries below. The i-th query has the following format: Query: An integer k_i and a string p_{i,1}p_{i,2}...p_{i,26} that results from permuting {`a`,`b`,...,`z`} are given. Output the sequence of the string S_{k_i} among the N strings in lexicographical order when the literal sequence is p_{i,1}<p_{i,2}<...<p_{i,26}.
[{"input": "5\n aa\n abbaa\n abbba\n aaab\n aaaaaba\n 5\n 1 abcdefghijklmnopqrstuvwxyz\n 2 bacdefghijklmnopqrstuvwxyz\n 3 abcdefghijklmnopqrstuvwxyz\n 4 bacdefghijklmnopqrstuvwxyz\n 5 abcdefghijklmnopqrstuvwxyz", "output": "1\n 2\n 5\n 4\n 2\n \n\nWhen the literal sequence is `a` < `b`, sorting the input strings in\nlexicographical order yields `aa`, `aaaaaba`, `aaab`, `abbaa`, `abbba`. The\nanswers to queries 1, 3, and 5 are thus 1, 5, and 2, respectively.\n\nWhen the literal sequence is `b` < `a`, sorting the input strings in\nlexicographical order yields `abbba`, `abbaa`, `aa`, `aaab`, `aaaaaba`. The\nanswers to queries 2 and 4 are thus 2 and 4, respectively.\n\n* * *"}, {"input": "8\n abrakatabra\n abadaba\n abracadabra\n atcoder\n grand\n contest\n ababa\n a\n 6\n 3 abcdefghijklmnopqrstuvwxyz\n 6 qwertyuiopasdfghjklzxcvbnm\n 8 poiuytrewqlkjhgfdsamnbvcxz\n 2 qazwsxedcrfvtgbyhnujmikolp\n 1 plokmijnuhbygvtfcrdxeszwaq\n 4 mnbvcxzasdfghjklpoiuytrewq", "output": "4\n 8\n 2\n 3\n 4\n 7"}]
Print the number of good observatories. * * *
s313396732
Wrong Answer
p02689
Input is given from Standard Input in the following format: N M H_1 H_2 ... H_N A_1 B_1 A_2 B_2 : A_M B_M
N, M = input().split() view = [int(i) for i in input().split()] result = set() remove = set() for _ in range(int(M)): A, B = [int(i) for i in input().split()] if view[A - 1] > view[B - 1]: if A not in remove: result.add(A) try: remove.add(B) result.remove(B) except KeyError: pass elif view[A - 1] < view[B - 1]: if B not in remove: result.add(B) try: remove.add(A) result.remove(A) except KeyError: pass else: if A not in remove: result.add(A) if B not in remove: result.add(B) print(len(result))
Statement There are N observatories in AtCoder Hill, called Obs. 1, Obs. 2, ..., Obs. N. The elevation of Obs. i is H_i. There are also M roads, each connecting two different observatories. Road j connects Obs. A_j and Obs. B_j. Obs. i is said to be good when its elevation is higher than those of all observatories that can be reached from Obs. i using just one road. Note that Obs. i is also good when no observatory can be reached from Obs. i using just one road. How many good observatories are there?
[{"input": "4 3\n 1 2 3 4\n 1 3\n 2 3\n 2 4", "output": "2\n \n\n * From Obs. 1, you can reach Obs. 3 using just one road. The elevation of Obs. 1 is not higher than that of Obs. 3, so Obs. 1 is not good.\n\n * From Obs. 2, you can reach Obs. 3 and 4 using just one road. The elevation of Obs. 2 is not higher than that of Obs. 3, so Obs. 2 is not good.\n\n * From Obs. 3, you can reach Obs. 1 and 2 using just one road. The elevation of Obs. 3 is higher than those of Obs. 1 and 2, so Obs. 3 is good.\n\n * From Obs. 4, you can reach Obs. 2 using just one road. The elevation of Obs. 4 is higher than that of Obs. 2, so Obs. 4 is good.\n\nThus, the good observatories are Obs. 3 and 4, so there are two good\nobservatories.\n\n* * *"}, {"input": "6 5\n 8 6 9 1 2 1\n 1 3\n 4 2\n 4 3\n 4 6\n 4 6", "output": "3"}]
Print the number of good observatories. * * *
s744016817
Accepted
p02689
Input is given from Standard Input in the following format: N M H_1 H_2 ... H_N A_1 B_1 A_2 B_2 : A_M B_M
N, M = list(map(int, input().split())) H_keys = [i + 1 for i in range(N)] H_values = list(map(int, input().split())) AB_list = [list(map(int, input().split())) for i in range(M)] H = dict(zip(H_keys, H_values)) # H_sort = sorted(H.items(), key=lambda x:x[1]) # print(H_sort) # temp=0 ans_list = [] for i in AB_list: if H[i[0]] < H[i[1]]: ans_list.append(i[0]) elif H[i[1]] < H[i[0]]: ans_list.append(i[1]) else: ans_list.append(i[0]) ans_list.append(i[1]) # temp+=1 # print(temp) # print(H) print(N - len(set(ans_list)))
Statement There are N observatories in AtCoder Hill, called Obs. 1, Obs. 2, ..., Obs. N. The elevation of Obs. i is H_i. There are also M roads, each connecting two different observatories. Road j connects Obs. A_j and Obs. B_j. Obs. i is said to be good when its elevation is higher than those of all observatories that can be reached from Obs. i using just one road. Note that Obs. i is also good when no observatory can be reached from Obs. i using just one road. How many good observatories are there?
[{"input": "4 3\n 1 2 3 4\n 1 3\n 2 3\n 2 4", "output": "2\n \n\n * From Obs. 1, you can reach Obs. 3 using just one road. The elevation of Obs. 1 is not higher than that of Obs. 3, so Obs. 1 is not good.\n\n * From Obs. 2, you can reach Obs. 3 and 4 using just one road. The elevation of Obs. 2 is not higher than that of Obs. 3, so Obs. 2 is not good.\n\n * From Obs. 3, you can reach Obs. 1 and 2 using just one road. The elevation of Obs. 3 is higher than those of Obs. 1 and 2, so Obs. 3 is good.\n\n * From Obs. 4, you can reach Obs. 2 using just one road. The elevation of Obs. 4 is higher than that of Obs. 2, so Obs. 4 is good.\n\nThus, the good observatories are Obs. 3 and 4, so there are two good\nobservatories.\n\n* * *"}, {"input": "6 5\n 8 6 9 1 2 1\n 1 3\n 4 2\n 4 3\n 4 6\n 4 6", "output": "3"}]
Print the number of good observatories. * * *
s639581090
Wrong Answer
p02689
Input is given from Standard Input in the following format: N M H_1 H_2 ... H_N A_1 B_1 A_2 B_2 : A_M B_M
a, b = map(int, input().split()) c = list(map(int, input().split())) f = [] g = [] for i in range(b): d, e = map(int, input().split()) f.append(d) if e not in f: g.append(e) h = set(g) print(len(h))
Statement There are N observatories in AtCoder Hill, called Obs. 1, Obs. 2, ..., Obs. N. The elevation of Obs. i is H_i. There are also M roads, each connecting two different observatories. Road j connects Obs. A_j and Obs. B_j. Obs. i is said to be good when its elevation is higher than those of all observatories that can be reached from Obs. i using just one road. Note that Obs. i is also good when no observatory can be reached from Obs. i using just one road. How many good observatories are there?
[{"input": "4 3\n 1 2 3 4\n 1 3\n 2 3\n 2 4", "output": "2\n \n\n * From Obs. 1, you can reach Obs. 3 using just one road. The elevation of Obs. 1 is not higher than that of Obs. 3, so Obs. 1 is not good.\n\n * From Obs. 2, you can reach Obs. 3 and 4 using just one road. The elevation of Obs. 2 is not higher than that of Obs. 3, so Obs. 2 is not good.\n\n * From Obs. 3, you can reach Obs. 1 and 2 using just one road. The elevation of Obs. 3 is higher than those of Obs. 1 and 2, so Obs. 3 is good.\n\n * From Obs. 4, you can reach Obs. 2 using just one road. The elevation of Obs. 4 is higher than that of Obs. 2, so Obs. 4 is good.\n\nThus, the good observatories are Obs. 3 and 4, so there are two good\nobservatories.\n\n* * *"}, {"input": "6 5\n 8 6 9 1 2 1\n 1 3\n 4 2\n 4 3\n 4 6\n 4 6", "output": "3"}]
Print the number of good observatories. * * *
s426424850
Runtime Error
p02689
Input is given from Standard Input in the following format: N M H_1 H_2 ... H_N A_1 B_1 A_2 B_2 : A_M B_M
n, m = map(int, input().split()) h = list(map(int, input().split())) l = [tuple(map(int, input().split())) for i in range(m)] x = ["B"] * n for t in l: if h[t[0] - 1] <= h[t[1] - 1]: x[t[1] - 1] = "G" x[t[0] - 1] = "B" elif h[t[0] - 1] >= h[t[1] - 1]: x[t[1] - 1] = "B" x[t[0] - 1] = "G" print(x) print(x.count("G"))
Statement There are N observatories in AtCoder Hill, called Obs. 1, Obs. 2, ..., Obs. N. The elevation of Obs. i is H_i. There are also M roads, each connecting two different observatories. Road j connects Obs. A_j and Obs. B_j. Obs. i is said to be good when its elevation is higher than those of all observatories that can be reached from Obs. i using just one road. Note that Obs. i is also good when no observatory can be reached from Obs. i using just one road. How many good observatories are there?
[{"input": "4 3\n 1 2 3 4\n 1 3\n 2 3\n 2 4", "output": "2\n \n\n * From Obs. 1, you can reach Obs. 3 using just one road. The elevation of Obs. 1 is not higher than that of Obs. 3, so Obs. 1 is not good.\n\n * From Obs. 2, you can reach Obs. 3 and 4 using just one road. The elevation of Obs. 2 is not higher than that of Obs. 3, so Obs. 2 is not good.\n\n * From Obs. 3, you can reach Obs. 1 and 2 using just one road. The elevation of Obs. 3 is higher than those of Obs. 1 and 2, so Obs. 3 is good.\n\n * From Obs. 4, you can reach Obs. 2 using just one road. The elevation of Obs. 4 is higher than that of Obs. 2, so Obs. 4 is good.\n\nThus, the good observatories are Obs. 3 and 4, so there are two good\nobservatories.\n\n* * *"}, {"input": "6 5\n 8 6 9 1 2 1\n 1 3\n 4 2\n 4 3\n 4 6\n 4 6", "output": "3"}]
Print the number of good observatories. * * *
s971896400
Wrong Answer
p02689
Input is given from Standard Input in the following format: N M H_1 H_2 ... H_N A_1 B_1 A_2 B_2 : A_M B_M
n, m = input().split() height = list(input().split()) list = [] for i in range(1, int(n) + 1): list.append(i) for i in range(int(m)): a, b = input().split() a = int(a) b = int(b) if int(height[a - 1]) < int(height[b - 1]): if int(a) in list: list.remove(a) elif int(height[a - 1]) > int(height[b - 1]): if int(b) in list: list.remove(b) elif int(height[a - 1]) == int(height[b - 1]): if int(b) in list: list.remove(b) elif int(a) in list: list.remove(a) print(len(list))
Statement There are N observatories in AtCoder Hill, called Obs. 1, Obs. 2, ..., Obs. N. The elevation of Obs. i is H_i. There are also M roads, each connecting two different observatories. Road j connects Obs. A_j and Obs. B_j. Obs. i is said to be good when its elevation is higher than those of all observatories that can be reached from Obs. i using just one road. Note that Obs. i is also good when no observatory can be reached from Obs. i using just one road. How many good observatories are there?
[{"input": "4 3\n 1 2 3 4\n 1 3\n 2 3\n 2 4", "output": "2\n \n\n * From Obs. 1, you can reach Obs. 3 using just one road. The elevation of Obs. 1 is not higher than that of Obs. 3, so Obs. 1 is not good.\n\n * From Obs. 2, you can reach Obs. 3 and 4 using just one road. The elevation of Obs. 2 is not higher than that of Obs. 3, so Obs. 2 is not good.\n\n * From Obs. 3, you can reach Obs. 1 and 2 using just one road. The elevation of Obs. 3 is higher than those of Obs. 1 and 2, so Obs. 3 is good.\n\n * From Obs. 4, you can reach Obs. 2 using just one road. The elevation of Obs. 4 is higher than that of Obs. 2, so Obs. 4 is good.\n\nThus, the good observatories are Obs. 3 and 4, so there are two good\nobservatories.\n\n* * *"}, {"input": "6 5\n 8 6 9 1 2 1\n 1 3\n 4 2\n 4 3\n 4 6\n 4 6", "output": "3"}]
Print the number of good observatories. * * *
s710804569
Runtime Error
p02689
Input is given from Standard Input in the following format: N M H_1 H_2 ... H_N A_1 B_1 A_2 B_2 : A_M B_M
n, m = (int(x) for x in input().split()) h = [0] * n ans = [0] * n i = 0 y = input().split() while i < n: h[i] = int(y[i]) ans[i] = i + 1 i += 1 j = 1 while (j <= m) or len(ans) >= 2: a, b = (int(x) for x in input().split()) if a in ans: if h[a - 1] <= h[b - 1]: ans.remove(a) if b in ans: if h[a - 1] >= h[b - 1]: ans.remove(b) j += 1 print(len(ans))
Statement There are N observatories in AtCoder Hill, called Obs. 1, Obs. 2, ..., Obs. N. The elevation of Obs. i is H_i. There are also M roads, each connecting two different observatories. Road j connects Obs. A_j and Obs. B_j. Obs. i is said to be good when its elevation is higher than those of all observatories that can be reached from Obs. i using just one road. Note that Obs. i is also good when no observatory can be reached from Obs. i using just one road. How many good observatories are there?
[{"input": "4 3\n 1 2 3 4\n 1 3\n 2 3\n 2 4", "output": "2\n \n\n * From Obs. 1, you can reach Obs. 3 using just one road. The elevation of Obs. 1 is not higher than that of Obs. 3, so Obs. 1 is not good.\n\n * From Obs. 2, you can reach Obs. 3 and 4 using just one road. The elevation of Obs. 2 is not higher than that of Obs. 3, so Obs. 2 is not good.\n\n * From Obs. 3, you can reach Obs. 1 and 2 using just one road. The elevation of Obs. 3 is higher than those of Obs. 1 and 2, so Obs. 3 is good.\n\n * From Obs. 4, you can reach Obs. 2 using just one road. The elevation of Obs. 4 is higher than that of Obs. 2, so Obs. 4 is good.\n\nThus, the good observatories are Obs. 3 and 4, so there are two good\nobservatories.\n\n* * *"}, {"input": "6 5\n 8 6 9 1 2 1\n 1 3\n 4 2\n 4 3\n 4 6\n 4 6", "output": "3"}]
Print the number of good observatories. * * *
s843273484
Accepted
p02689
Input is given from Standard Input in the following format: N M H_1 H_2 ... H_N A_1 B_1 A_2 B_2 : A_M B_M
num_of_observatory, num_of_road = map(int, input().split()) elevations = list(map(int, input().split())) road_unions = [] for _ in range(num_of_road): road_unions.append(list(map(int, input().split()))) # つながっている展望台のリスト to_observatorys = [[] for i in range(num_of_observatory)] for road_union in road_unions: to_observatorys[road_union[0] - 1].append(elevations[road_union[1] - 1]) to_observatorys[road_union[1] - 1].append(elevations[road_union[0] - 1]) num_of_good = 0 for i in range(num_of_observatory): # つながっている展望台がない または つながっている展望台よりも高い場合 if len(to_observatorys[i]) == 0 or elevations[i] > max(to_observatorys[i]): num_of_good = num_of_good + 1 print(num_of_good)
Statement There are N observatories in AtCoder Hill, called Obs. 1, Obs. 2, ..., Obs. N. The elevation of Obs. i is H_i. There are also M roads, each connecting two different observatories. Road j connects Obs. A_j and Obs. B_j. Obs. i is said to be good when its elevation is higher than those of all observatories that can be reached from Obs. i using just one road. Note that Obs. i is also good when no observatory can be reached from Obs. i using just one road. How many good observatories are there?
[{"input": "4 3\n 1 2 3 4\n 1 3\n 2 3\n 2 4", "output": "2\n \n\n * From Obs. 1, you can reach Obs. 3 using just one road. The elevation of Obs. 1 is not higher than that of Obs. 3, so Obs. 1 is not good.\n\n * From Obs. 2, you can reach Obs. 3 and 4 using just one road. The elevation of Obs. 2 is not higher than that of Obs. 3, so Obs. 2 is not good.\n\n * From Obs. 3, you can reach Obs. 1 and 2 using just one road. The elevation of Obs. 3 is higher than those of Obs. 1 and 2, so Obs. 3 is good.\n\n * From Obs. 4, you can reach Obs. 2 using just one road. The elevation of Obs. 4 is higher than that of Obs. 2, so Obs. 4 is good.\n\nThus, the good observatories are Obs. 3 and 4, so there are two good\nobservatories.\n\n* * *"}, {"input": "6 5\n 8 6 9 1 2 1\n 1 3\n 4 2\n 4 3\n 4 6\n 4 6", "output": "3"}]
Print the number of good observatories. * * *
s508551069
Accepted
p02689
Input is given from Standard Input in the following format: N M H_1 H_2 ... H_N A_1 B_1 A_2 B_2 : A_M B_M
nm = input("") n = int(nm.split(" ")[0]) m = int(nm.split(" ")[1]) hs = input("").split(" ") abmap = {} for i in range(m): ab = input("") a = int(ab.split(" ")[0]) b = int(ab.split(" ")[1]) if a in abmap.keys(): abmap[a].append(b) else: abmap[a] = [b] if b in abmap.keys(): abmap[b].append(a) else: abmap[b] = [a] ytb_cnt = 0 for a, b in abmap.items(): ah = int(hs[a - 1]) ytb = 1 for bn in b: bh = int(hs[bn - 1]) # print("{}[{}]->{}[{}]".format(a,ah,b,bh)) if ah <= bh: ytb = 0 if ytb == 1: ytb_cnt += 1 for h in range(len(hs)): if not (h + 1) in abmap.keys(): # print("{} is no root".format(h+1)) ytb_cnt += 1 print(ytb_cnt)
Statement There are N observatories in AtCoder Hill, called Obs. 1, Obs. 2, ..., Obs. N. The elevation of Obs. i is H_i. There are also M roads, each connecting two different observatories. Road j connects Obs. A_j and Obs. B_j. Obs. i is said to be good when its elevation is higher than those of all observatories that can be reached from Obs. i using just one road. Note that Obs. i is also good when no observatory can be reached from Obs. i using just one road. How many good observatories are there?
[{"input": "4 3\n 1 2 3 4\n 1 3\n 2 3\n 2 4", "output": "2\n \n\n * From Obs. 1, you can reach Obs. 3 using just one road. The elevation of Obs. 1 is not higher than that of Obs. 3, so Obs. 1 is not good.\n\n * From Obs. 2, you can reach Obs. 3 and 4 using just one road. The elevation of Obs. 2 is not higher than that of Obs. 3, so Obs. 2 is not good.\n\n * From Obs. 3, you can reach Obs. 1 and 2 using just one road. The elevation of Obs. 3 is higher than those of Obs. 1 and 2, so Obs. 3 is good.\n\n * From Obs. 4, you can reach Obs. 2 using just one road. The elevation of Obs. 4 is higher than that of Obs. 2, so Obs. 4 is good.\n\nThus, the good observatories are Obs. 3 and 4, so there are two good\nobservatories.\n\n* * *"}, {"input": "6 5\n 8 6 9 1 2 1\n 1 3\n 4 2\n 4 3\n 4 6\n 4 6", "output": "3"}]
Print the number of good observatories. * * *
s508615331
Wrong Answer
p02689
Input is given from Standard Input in the following format: N M H_1 H_2 ... H_N A_1 B_1 A_2 B_2 : A_M B_M
line = input().split(" ") num = int(line[0]) road = int(line[1]) high = input().split(" ") lowgroup = [] for i in range(road): a = input().split(" ") if int(high[int(a[0]) - 1]) < int(high[int(a[1]) - 1]): lowgroup.append(a[0]) else: lowgroup.append(a[1]) print(num - len(set(lowgroup)))
Statement There are N observatories in AtCoder Hill, called Obs. 1, Obs. 2, ..., Obs. N. The elevation of Obs. i is H_i. There are also M roads, each connecting two different observatories. Road j connects Obs. A_j and Obs. B_j. Obs. i is said to be good when its elevation is higher than those of all observatories that can be reached from Obs. i using just one road. Note that Obs. i is also good when no observatory can be reached from Obs. i using just one road. How many good observatories are there?
[{"input": "4 3\n 1 2 3 4\n 1 3\n 2 3\n 2 4", "output": "2\n \n\n * From Obs. 1, you can reach Obs. 3 using just one road. The elevation of Obs. 1 is not higher than that of Obs. 3, so Obs. 1 is not good.\n\n * From Obs. 2, you can reach Obs. 3 and 4 using just one road. The elevation of Obs. 2 is not higher than that of Obs. 3, so Obs. 2 is not good.\n\n * From Obs. 3, you can reach Obs. 1 and 2 using just one road. The elevation of Obs. 3 is higher than those of Obs. 1 and 2, so Obs. 3 is good.\n\n * From Obs. 4, you can reach Obs. 2 using just one road. The elevation of Obs. 4 is higher than that of Obs. 2, so Obs. 4 is good.\n\nThus, the good observatories are Obs. 3 and 4, so there are two good\nobservatories.\n\n* * *"}, {"input": "6 5\n 8 6 9 1 2 1\n 1 3\n 4 2\n 4 3\n 4 6\n 4 6", "output": "3"}]
Print the number of good observatories. * * *
s285001597
Runtime Error
p02689
Input is given from Standard Input in the following format: N M H_1 H_2 ... H_N A_1 B_1 A_2 B_2 : A_M B_M
n, m = [int(_) for _ in input().split()] H = [int(_) for _ in input().split()] Hlist = [(set() for a in range(n))] count = 0 for a in range(m): a, b = [int(_) for _ in input().split()] Hlist[a - 1].add(b - 1) Hlist[b - 1].add(a - 1) for i, j in enumerate(Hlist): flag = 1 for a in j: if H[a] >= H[i]: flag = 0 if flag == 1: count += 1 flag = 1 print(count)
Statement There are N observatories in AtCoder Hill, called Obs. 1, Obs. 2, ..., Obs. N. The elevation of Obs. i is H_i. There are also M roads, each connecting two different observatories. Road j connects Obs. A_j and Obs. B_j. Obs. i is said to be good when its elevation is higher than those of all observatories that can be reached from Obs. i using just one road. Note that Obs. i is also good when no observatory can be reached from Obs. i using just one road. How many good observatories are there?
[{"input": "4 3\n 1 2 3 4\n 1 3\n 2 3\n 2 4", "output": "2\n \n\n * From Obs. 1, you can reach Obs. 3 using just one road. The elevation of Obs. 1 is not higher than that of Obs. 3, so Obs. 1 is not good.\n\n * From Obs. 2, you can reach Obs. 3 and 4 using just one road. The elevation of Obs. 2 is not higher than that of Obs. 3, so Obs. 2 is not good.\n\n * From Obs. 3, you can reach Obs. 1 and 2 using just one road. The elevation of Obs. 3 is higher than those of Obs. 1 and 2, so Obs. 3 is good.\n\n * From Obs. 4, you can reach Obs. 2 using just one road. The elevation of Obs. 4 is higher than that of Obs. 2, so Obs. 4 is good.\n\nThus, the good observatories are Obs. 3 and 4, so there are two good\nobservatories.\n\n* * *"}, {"input": "6 5\n 8 6 9 1 2 1\n 1 3\n 4 2\n 4 3\n 4 6\n 4 6", "output": "3"}]
Print the number of good observatories. * * *
s266143061
Accepted
p02689
Input is given from Standard Input in the following format: N M H_1 H_2 ... H_N A_1 B_1 A_2 B_2 : A_M B_M
import sys input = sys.stdin.readline # from collections import deque def linput(_t=int): return list(map(_t, input().split())) def gcd(n, m): while m: n, m = m, n % m return n def lcm(n, m): return n * m // gcd(n, m) def main(): # N = int(input()) N, M = linput() vH = linput() vE = [ linput() for _ in [ 0, ] * M ] vH = [ 0, ] + vH vV = [ 0, ] + [ 1, ] * N # res = 0 # for s in S.split("-"): # res = max(res, len(s)) for a, b in vE: ha, hb = vH[a], vH[b] if ha <= hb: vV[a] = 0 if ha >= hb: vV[b] = 0 res = sum(vV) # res = 0 print(res) # print(("No","Yes")[res%2]) main()
Statement There are N observatories in AtCoder Hill, called Obs. 1, Obs. 2, ..., Obs. N. The elevation of Obs. i is H_i. There are also M roads, each connecting two different observatories. Road j connects Obs. A_j and Obs. B_j. Obs. i is said to be good when its elevation is higher than those of all observatories that can be reached from Obs. i using just one road. Note that Obs. i is also good when no observatory can be reached from Obs. i using just one road. How many good observatories are there?
[{"input": "4 3\n 1 2 3 4\n 1 3\n 2 3\n 2 4", "output": "2\n \n\n * From Obs. 1, you can reach Obs. 3 using just one road. The elevation of Obs. 1 is not higher than that of Obs. 3, so Obs. 1 is not good.\n\n * From Obs. 2, you can reach Obs. 3 and 4 using just one road. The elevation of Obs. 2 is not higher than that of Obs. 3, so Obs. 2 is not good.\n\n * From Obs. 3, you can reach Obs. 1 and 2 using just one road. The elevation of Obs. 3 is higher than those of Obs. 1 and 2, so Obs. 3 is good.\n\n * From Obs. 4, you can reach Obs. 2 using just one road. The elevation of Obs. 4 is higher than that of Obs. 2, so Obs. 4 is good.\n\nThus, the good observatories are Obs. 3 and 4, so there are two good\nobservatories.\n\n* * *"}, {"input": "6 5\n 8 6 9 1 2 1\n 1 3\n 4 2\n 4 3\n 4 6\n 4 6", "output": "3"}]
For each query, print the LCA of u and v in a line.
s421254994
Accepted
p02373
n k0 c1 c2 ... ck0 k1 c1 c2 ... ck1 : kn-1 c1 c2 ... ckn-1 q u1 v1 u2 v2 : uq vq The first line of the input includes an integer n, the number of nodes of the tree. In the next n lines, the information of node i is given. ki is the number of children of node i, and c1, ... cki are node IDs of 1st, ... kth child of node i. In the next line, the number of queryies q is given. In the next q lines, pairs of u and v are given as the queries.
from collections import defaultdict class Tree: def __init__(self, N): self.N = N self.D = (self.N - 1).bit_length() self.E = defaultdict(dict) def add_edge(self, init, end, weight, undirected=False): self.E[init][end] = weight if undirected: self.E[end][init] = weight def dfs(self, root): # parents[v]: the parent of the vertex v # depth[v]: the depth of the vertex v from the root # dist[v]: the distance of the vertex v from the root. self.parent = [None] * self.N self.depth = [-1] * self.N self.dist = [float("inf")] * self.N self.parent[root] = -1 self.depth[root] = 0 self.dist[root] = 0 stack = [root] while stack: v = stack.pop() for u in self.E[v].keys(): if self.depth[u] != -1: continue self.parent[u] = v self.depth[u] = self.depth[v] + 1 self.dist[u] = self.dist[v] + self.E[v][u] stack.append(u) def doubling(self): # O(N log N) time self.next = [self.parent] for d in range(1, self.D): self.next.append( [ ( self.next[d - 1][self.next[d - 1][v]] if self.next[d - 1][v] != -1 else -1 ) for v in range(self.N) ] ) def lca(self, u, v): # O(log N) time # the depth of v is set to be no less than that of u if self.depth[u] > self.depth[v]: u, v = v, u # find the ancestor of v with the same depth as that of u diff = self.depth[v] - self.depth[u] for i in range(diff.bit_length()): if diff & 1: v = self.next[i][v] diff >>= 1 if u == v: return u for i in range(self.D - 1, -1, -1): pu, pv = self.next[i][u], self.next[i][v] if pu != pv: u, v = pu, pv return self.next[0][u] n = int(input()) tr = Tree(n) for i in range(n): ( k, *C, ) = map(int, input().split()) for c in C: tr.add_edge(i, c, 1, undirected=True) tr.dfs(0) tr.doubling() q = int(input()) for _ in range(q): u, v = map(int, input().split()) print(tr.lca(u, v))
LCA: Lowest Common Ancestor For a rooted tree, find the lowest common ancestor of two nodes u and v. The given tree consists of n nodes and every node has a unique ID from 0 to n-1 where 0 is the root.
[{"input": "8\n 3 1 2 3\n 2 4 5\n 0\n 0\n 0\n 2 6 7\n 0\n 0\n 4\n 4 6\n 4 7\n 4 3\n 5 2", "output": "1\n 1\n 0\n 0"}]
For each query, print the LCA of u and v in a line.
s971778577
Accepted
p02373
n k0 c1 c2 ... ck0 k1 c1 c2 ... ck1 : kn-1 c1 c2 ... ckn-1 q u1 v1 u2 v2 : uq vq The first line of the input includes an integer n, the number of nodes of the tree. In the next n lines, the information of node i is given. ki is the number of children of node i, and c1, ... cki are node IDs of 1st, ... kth child of node i. In the next line, the number of queryies q is given. In the next q lines, pairs of u and v are given as the queries.
# 参考 https://tjkendev.github.io/procon-library/python/graph/lca-segment-tree.html # N: 頂点数 # G[v]: 頂点vの子頂点 (親頂点は含まない) import sys sys.setrecursionlimit(10**7) N = int(input()) G = [[] for _ in range(N)] for v in range(N): for j, nv in enumerate(map(int, input().split())): if j == 0: continue G[v].append(nv) # Euler Tour の構築 S = [] F = [0] * N depth = [0] * N def dfs(v, d): F[v] = len(S) depth[v] = d S.append(v) for w in G[v]: dfs(w, d + 1) S.append(v) dfs(0, 0) # 存在しない範囲は深さが他よりも大きくなるようにする INF = (N, None) # LCAを計算するクエリの前計算 M = 2 * N M0 = 2 ** (M - 1).bit_length() data = [INF] * (2 * M0) for i, v in enumerate(S): data[M0 - 1 + i] = (depth[v], i) for i in range(M0 - 2, -1, -1): data[i] = min(data[2 * i + 1], data[2 * i + 2]) # LCAの計算 (generatorで最小値を求める) def _query(a, b): yield INF a += M0 b += M0 while a < b: if b & 1: b -= 1 yield data[b - 1] if a & 1: yield data[a - 1] a += 1 a >>= 1 b >>= 1 # LCAの計算 (外から呼び出す関数) def query(u, v): fu = F[u] fv = F[v] if fu > fv: fu, fv = fv, fu return S[min(_query(fu, fv + 1))[1]] ans_list = [] q = int(input()) for _ in range(q): u, v = map(int, input().split()) ans = query(u, v) ans_list.append(ans) print(*ans_list, sep="\n")
LCA: Lowest Common Ancestor For a rooted tree, find the lowest common ancestor of two nodes u and v. The given tree consists of n nodes and every node has a unique ID from 0 to n-1 where 0 is the root.
[{"input": "8\n 3 1 2 3\n 2 4 5\n 0\n 0\n 0\n 2 6 7\n 0\n 0\n 4\n 4 6\n 4 7\n 4 3\n 5 2", "output": "1\n 1\n 0\n 0"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s915639861
Runtime Error
p02723
Input is given from Standard Input in the following format: S
a = int(input()) a -= a % 5 print(2 * a - a % 500)
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s172930474
Runtime Error
p02723
Input is given from Standard Input in the following format: S
str = input() str[2] == str[3] && str[4] == str[5] ? 'Yes' : 'No';
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s596491878
Accepted
p02723
Input is given from Standard Input in the following format: S
import sys input_methods = ["clipboard", "file", "key"] using_method = 0 input_method = input_methods[using_method] IN = lambda: map(int, input().split()) mod = 1000000007 # +++++ def main(): # a = int(input()) # b , c = IN() s = input() is_coffee_like = (s[2] == s[3]) and (s[4] == s[5]) ret = "Yes" if is_coffee_like else "No" print(ret) # +++++ isTest = False def pa(v): if isTest: print(v) def input_clipboard(): import clipboard input_text = clipboard.get() input_l = input_text.splitlines() for l in input_l: yield l if __name__ == "__main__": if sys.platform == "ios": if input_method == input_methods[0]: ic = input_clipboard() input = lambda: ic.__next__() elif input_method == input_methods[1]: sys.stdin = open("inputFile.txt") else: pass isTest = True else: pass # input = sys.stdin.readline ret = main() if ret is not None: print(ret)
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s842139017
Runtime Error
p02723
Input is given from Standard Input in the following format: S
import sys def solve(): input = lambda: sys.stdin.readline().rstrip() sys.setrecursionlimit(10**7) mod = 10**9 + 7 def comb(n, r): if r > n: return 0 return fac[n] * inv[r] * inv[n - r] % mod def dfs(v, Pa=-1): for u in to[v]: if u == Pa: continue dfs(u, v) size[v] += size[u] dp[v] *= dp[u] % mod dp[v] *= comb(size[v], size[u]) % mod size[v] += 1 def bfs(v, Pa=-1, P_val=1, P_sz=0): ans[v] = P_val * dp[v] * comb(n - 1, P_sz) % mod for u in to[v]: if u == Pa: continue val = ans[v] * INV(dp[u] * comb(n - 1, size[u])) % mod bfs(u, v, val, n - size[u]) n = int(input()) to = [[] for _ in range(n)] for _ in range(n - 1): a, b = map(lambda x: int(x) - 1, input().split()) to[a].append(b) to[b].append(a) fac = [1] * (n + 2) inv = [1] * (n + 2) for i in range(2, n + 1): fac[i] = fac[i - 1] * i % mod INV = lambda x: pow(x, mod - 2, mod) inv[n] = INV(fac[n]) for i in range(n - 1, 1, -1): inv[i] = inv[i + 1] * (i + 1) % mod dp = [1] * n size = [0] * n ans = [0] * n dfs(0) bfs(0) print(*ans, sep="\n") if __name__ == "__main__": solve()
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s111117492
Runtime Error
p02723
Input is given from Standard Input in the following format: S
X, Y, A, B, C = map(int, input().split()) p = list(map(int, input().split())) q = list(map(int, input().split())) r = list(map(int, input().split())) p.sort(reverse=True) q.sort(reverse=True) r.sort(reverse=True) p = p[:X] q = q[:Y] p.extend(q) p.extend(r) p.sort(reverse=True) p = p[: A + B] print(sum(p))
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s629325619
Runtime Error
p02723
Input is given from Standard Input in the following format: S
x, y, a, b, c = map(int, input().split()) print( sum( sorted( sorted(list(map(int, input().split())), reverse=True)[:x] + sorted(list(map(int, input().split())), reverse=True)[:y] + list(map(int, input().split())), reverse=True, )[: (x + y)] ) )
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s007852536
Runtime Error
p02723
Input is given from Standard Input in the following format: S
K, N = map(int, input().split()) N = N - 1 A = list(map(int, input().split())) A_d = [A[i + 1] - A[i] for i in range(0, len(A) - 1)] A_d.append(K - A[-1] + A[0]) print(A_d) A_d2 = (A_d + A_d[1:]) * 2 print(A_d2) res = K for i in range(len(A_d2) - 1): if res > sum(A_d2[i : i + N]): res = sum(A_d2[i : i + N]) print(res)
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s635021548
Runtime Error
p02723
Input is given from Standard Input in the following format: S
# -*- coding: utf-8 -*- import sys from collections import defaultdict MAX_INT = 2**62 - 1 sys.setrecursionlimit(10**6) input = sys.stdin.readline N = 2 * (10**5) + 1 MOD = 10**9 + 7 fact = [1] * N fact_inv = [0] * N for i in range(1, 2 * (10**5) + 1): fact[i] = fact[i - 1] * i % MOD fact_inv[i] = pow(fact[i], MOD - 2, MOD) def solve(g): def dfs(pre, cur): if pre in memo and cur in memo[pre]: return memo[pre][cur] num, ways = 1, 1 for nxt in g[cur]: if nxt == pre: continue n, w = dfs(cur, nxt) num += n ways = ways * w % m * fi[n] % m ways = ways * f[num - 1] % m memo[pre][cur] = num, ways return num, ways m = MOD memo = defaultdict(dict) f, fi = fact, fact_inv for i in range(1, len(g)): print(dfs(None, i)[1]) def main(): n = int(input()) g = [[] for _ in range(n + 1)] for _ in range(n - 1): a, b = map(int, input().split()) g[a].append(b) g[b].append(a) solve(g) if __name__ == "__main__": main()
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s841774129
Accepted
p02723
Input is given from Standard Input in the following format: S
n = input()[2:] a, b = set(n[:2]), set(n[2:]) print("Yes" if len(a) == len(b) == 1 else "No")
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s760574431
Runtime Error
p02723
Input is given from Standard Input in the following format: S
import sys sys.setrecursionlimit(3 * 10**5) n = int(input()) edge = [tuple(map(int, input().split())) for _ in range(n - 1)] mod = 10**9 + 7 def extGCD(a, b): if b == 0: return a, 1, 0 g, y, x = extGCD(b, a % b) y -= a // b * x return g, x, y def moddiv(a, b): _, inv, _ = extGCD(b, mod) return (a * inv) % mod N = 10**5 + 10 fact = [0] * (N) fact[0] = 1 for i in range(1, N): fact[i] = (fact[i - 1] * i) % mod def comb(a, b): return moddiv(moddiv(fact[a], fact[a - b]), fact[b]) connect = [set() for _ in range(n)] for a, b in edge: connect[a - 1].add(b - 1) connect[b - 1].add(a - 1) d = [{} for _ in range(n)] def dfs(v, p): if p in d[v]: return d[v][p] num, count = 0, 1 for next in connect[v]: if next != p: i, c = dfs(next, v) num += i count *= c count %= mod count *= comb(num, i) count %= mod num += 1 d[v][p] = num, count return num, count for i in range(n): dfs(i, -1) print(d[i][-1][1])
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s137459957
Accepted
p02723
Input is given from Standard Input in the following format: S
i = input() print("Yes" if (i[2] == i[3] and i[4] == i[5]) else "No")
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s594940375
Wrong Answer
p02723
Input is given from Standard Input in the following format: S
s = input()[2::] print("Yes" if len(set(s)) == 2 else "No")
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s860943104
Runtime Error
p02723
Input is given from Standard Input in the following format: S
a, b = divmod(int(input()), 500) print(a * 1000 + (b // 5) * 5)
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s173855943
Wrong Answer
p02723
Input is given from Standard Input in the following format: S
print(True)
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s022010122
Wrong Answer
p02723
Input is given from Standard Input in the following format: S
print("No")
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s730529252
Runtime Error
p02723
Input is given from Standard Input in the following format: S
a = input() if a[2] == a[3] && a[4] == a[5]: print(Yes) else: print(No)
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s061531738
Runtime Error
p02723
Input is given from Standard Input in the following format: S
print("Yes") if list(input().split())[3] == list(input().split())[4] else print("No")
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s736042786
Runtime Error
p02723
Input is given from Standard Input in the following format: S
S=input() s=str(S) if s[2]=s[3] and s[4]=s[5]: print("Yes") else: print("No")
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s078977983
Runtime Error
p02723
Input is given from Standard Input in the following format: S
k, n = map(int, input().split()) a = list(map(int, input().split())) a.sort() zero = False if 0 in a: a.remove(0) n = n - 1 zero = True # print("contain 0.") l1 = a[n - 1] - a[0] # 0を通らない側 l2 = a[0] + k - a[n - 1] # 0を通る側 if zero == True: ret = l2 else: ret = l1 if l1 < l2 else l2 print("{}".format(ret))
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s635869146
Runtime Error
p02723
Input is given from Standard Input in the following format: S
_in = list(map(int, input().split())) k = _in[0] n = _in[1] p = 0 _i = list(map(int, input().split())) dis = 0 mdis = k - _i[n - 1] + _i[0] for i in range(1, n - 2): dis = _i[i + 1] - _i[i] if dis >= mdis: mdis = dis print(k - mdis)
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s318944777
Runtime Error
p02723
Input is given from Standard Input in the following format: S
x, y, a, b, c = map(int, input().split()) pn = list(map(int, input().split())) qn = list(map(int, input().split())) rn = list(map(int, input().split())) pn.sort(reverse=True) qn.sort(reverse=True) pqr = pn[:x] + qn[:y] + rn pqr.sort(reverse=True) print(sum(pqr[: x + y]))
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s578273372
Runtime Error
p02723
Input is given from Standard Input in the following format: S
def dijkstra(s, n, w, cost): # 始点sから各頂点への最短距離 # n:頂点数, w:辺の数, cost[u][v] : 辺uvのコスト(存在しないときはinf) d = [float("inf")] * n used = [False] * n d[s] = 0 while True: v = -1 # まだ使われてない頂点の中から最小の距離のものを探す for i in range(n): if (not used[i]) and (v == -1): v = i elif (not used[i]) and d[i] < d[v]: v = i if v == -1: break used[v] = True for j in range(n): d[j] = min(d[j], d[v] + cost[v][j]) return tuple(d) n, x, y = map(int, input().split()) # cost[u][v] : 辺uvのコスト(存在しないときはinf この場合は10**10) cost = [[float("inf") for i in range(n)] for i in range(n)] for i in range(n - 1): cost[i][i + 1] = 1 cost[i + 1][i] = 1 cost[x - 1][y - 1] = 1 cost[y - 1][x - 1] = 1 ans = [0 for _ in range(n)] for i in range(n): # nは頂点数、wは辺の数 res = dijkstra(i, n, n, cost) for j in range(i + 1, n): ans[res[j]] += 1 for i in range(1, n): print(ans[i])
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
If S is coffee-like, print `Yes`; otherwise, print `No`. * * *
s325437878
Wrong Answer
p02723
Input is given from Standard Input in the following format: S
S = input() ans = 0 for n in set(i for i in S[2::]): if S.count(n) == 2: ans += 1 print("Yes" if ans > 1 else "No")
Statement A string of length 6 consisting of lowercase English letters is said to be coffee-like if and only if its 3-rd and 4-th characters are equal and its 5-th and 6-th characters are also equal. Given a string S, determine whether it is coffee-like.
[{"input": "sippuu", "output": "Yes\n \n\nIn `sippuu`, the 3-rd and 4-th characters are equal, and the 5-th and 6-th\ncharacters are also equal.\n\n* * *"}, {"input": "iphone", "output": "No\n \n\n* * *"}, {"input": "coffee", "output": "Yes"}]
Print the minimum possible total increase of your fatigue level when you visit all the towns. * * *
s086852997
Runtime Error
p03831
The input is given from Standard Input in the following format: N A B X_1 X_2 ... X_N
a
Statement There are N towns on a line running east-west. The towns are numbered 1 through N, in order from west to east. Each point on the line has a one- dimensional coordinate, and a point that is farther east has a greater coordinate value. The coordinate of town i is X_i. You are now at town 1, and you want to visit all the other towns. You have two ways to travel: * Walk on the line. Your _fatigue level_ increases by A each time you travel a distance of 1, regardless of direction. * Teleport to any location of your choice. Your fatigue level increases by B, regardless of the distance covered. Find the minimum possible total increase of your fatigue level when you visit all the towns in these two ways.
[{"input": "4 2 5\n 1 2 5 7", "output": "11\n \n\nFrom town 1, walk a distance of 1 to town 2, then teleport to town 3, then\nwalk a distance of 2 to town 4. The total increase of your fatigue level in\nthis case is 2\u00d71+5+2\u00d72=11, which is the minimum possible value.\n\n* * *"}, {"input": "7 1 100\n 40 43 45 105 108 115 124", "output": "84\n \n\nFrom town 1, walk all the way to town 7. The total increase of your fatigue\nlevel in this case is 84, which is the minimum possible value.\n\n* * *"}, {"input": "7 1 2\n 24 35 40 68 72 99 103", "output": "12\n \n\nVisit all the towns in any order by teleporting six times. The total increase\nof your fatigue level in this case is 12, which is the minimum possible value."}]
Print the minimum possible total increase of your fatigue level when you visit all the towns. * * *
s525722321
Accepted
p03831
The input is given from Standard Input in the following format: N A B X_1 X_2 ... X_N
def s0(): return input() def s1(): return input().split() def s2(n): return [input() for x in range(n)] def s3(n): return [input().split() for _ in range(n)] def s4(n): return [[x for x in s] for s in s2(n)] def n0(): return int(input()) def n1(): return [int(x) for x in input().split()] def n2(n): return [int(input()) for _ in range(n)] def n3(n): return [[int(x) for x in input().split()] for _ in range(n)] def t3(n): return [tuple(int(x) for x in input().split()) for _ in range(n)] def p0(b, yes="Yes", no="No"): print(yes if b else no) # from sys import setrecursionlimit # setrecursionlimit(1000000) # from collections import Counter,deque,defaultdict # import itertools # import math # import networkx as nx # from bisect import bisect_left,bisect_right # from heapq import heapify,heappush,heappop n, a, b = n1() X = n1() ans = 0 for i in range(1, n): move = a * (X[i] - X[i - 1]) if move > b: ans += b else: ans += move print(ans)
Statement There are N towns on a line running east-west. The towns are numbered 1 through N, in order from west to east. Each point on the line has a one- dimensional coordinate, and a point that is farther east has a greater coordinate value. The coordinate of town i is X_i. You are now at town 1, and you want to visit all the other towns. You have two ways to travel: * Walk on the line. Your _fatigue level_ increases by A each time you travel a distance of 1, regardless of direction. * Teleport to any location of your choice. Your fatigue level increases by B, regardless of the distance covered. Find the minimum possible total increase of your fatigue level when you visit all the towns in these two ways.
[{"input": "4 2 5\n 1 2 5 7", "output": "11\n \n\nFrom town 1, walk a distance of 1 to town 2, then teleport to town 3, then\nwalk a distance of 2 to town 4. The total increase of your fatigue level in\nthis case is 2\u00d71+5+2\u00d72=11, which is the minimum possible value.\n\n* * *"}, {"input": "7 1 100\n 40 43 45 105 108 115 124", "output": "84\n \n\nFrom town 1, walk all the way to town 7. The total increase of your fatigue\nlevel in this case is 84, which is the minimum possible value.\n\n* * *"}, {"input": "7 1 2\n 24 35 40 68 72 99 103", "output": "12\n \n\nVisit all the towns in any order by teleporting six times. The total increase\nof your fatigue level in this case is 12, which is the minimum possible value."}]
Print the minimum possible total increase of your fatigue level when you visit all the towns. * * *
s167960437
Accepted
p03831
The input is given from Standard Input in the following format: N A B X_1 X_2 ... X_N
import numpy as np import sys n, a, b = map(int, input().split()) x = list(map(int, input().split())) if n == 2: print(min((x[1] - x[0]) * a, b)) sys.exit() left = 0 right = n - 1 curr = 0 cnt = 0 reverse = False while left < right: if not reverse: if (x[curr + 1] - x[curr]) * a > (x[right] - x[right - 1]) * a + b: reverse = True cnt += b curr = right left += 1 elif (x[curr + 1] - x[curr]) * a <= b: left += 1 cnt += (x[curr + 1] - x[curr]) * a curr = left else: left += 1 cnt += b curr = left else: if (x[curr] - x[curr - 1]) * a > (x[left + 1] - x[left]) * a + b: reverse = False cnt += b curr = left right -= 1 elif (x[curr] - x[curr - 1]) * a <= b: right -= 1 cnt += (x[curr] - x[curr - 1]) * a curr = right else: right -= 1 cnt += b curr = right print(cnt)
Statement There are N towns on a line running east-west. The towns are numbered 1 through N, in order from west to east. Each point on the line has a one- dimensional coordinate, and a point that is farther east has a greater coordinate value. The coordinate of town i is X_i. You are now at town 1, and you want to visit all the other towns. You have two ways to travel: * Walk on the line. Your _fatigue level_ increases by A each time you travel a distance of 1, regardless of direction. * Teleport to any location of your choice. Your fatigue level increases by B, regardless of the distance covered. Find the minimum possible total increase of your fatigue level when you visit all the towns in these two ways.
[{"input": "4 2 5\n 1 2 5 7", "output": "11\n \n\nFrom town 1, walk a distance of 1 to town 2, then teleport to town 3, then\nwalk a distance of 2 to town 4. The total increase of your fatigue level in\nthis case is 2\u00d71+5+2\u00d72=11, which is the minimum possible value.\n\n* * *"}, {"input": "7 1 100\n 40 43 45 105 108 115 124", "output": "84\n \n\nFrom town 1, walk all the way to town 7. The total increase of your fatigue\nlevel in this case is 84, which is the minimum possible value.\n\n* * *"}, {"input": "7 1 2\n 24 35 40 68 72 99 103", "output": "12\n \n\nVisit all the towns in any order by teleporting six times. The total increase\nof your fatigue level in this case is 12, which is the minimum possible value."}]
Print the minimum possible total increase of your fatigue level when you visit all the towns. * * *
s278053621
Accepted
p03831
The input is given from Standard Input in the following format: N A B X_1 X_2 ... X_N
from itertools import accumulate from math import * from collections import deque from collections import defaultdict from itertools import permutations from heapq import * from collections import Counter from itertools import * from bisect import bisect_left, bisect_right from copy import deepcopy inf = 10**18 from functools import reduce n, a, b = map(int, input().split()) x = list(map(int, input().split())) edge = [] class UnionFind: def __init__(self, N): self.rank = [0] * N self.par = [i for i in range(N)] self.counter = [1] * N def find(self, x): if self.par[x] == x: return x else: self.par[x] = self.find(self.par[x]) return self.par[x] def unite(self, x, y): x = self.find(x) y = self.find(y) if x != y: z = self.counter[x] + self.counter[y] self.counter[x], self.counter[y] = z, z if self.rank[x] < self.rank[y]: self.par[x] = y else: self.par[y] = x if self.rank[x] == self.rank[y]: self.rank[x] += 1 def size(self, x): x = self.find(x) return self.counter[x] def same(self, x, y): return self.find(x) == self.find(y) for i in range(1, n): c = (x[i] - x[i - 1]) * a edge.append((c, i - 1, i)) # クラスカル法 uf = UnionFind(n) edge.sort() ans = 0 edge_cnt = 0 i = 0 while edge_cnt < n - 1: cost, i1, i2 = edge[i] if not uf.same(i1, i2): ans += min(b, cost) uf.unite(i1, i2) edge_cnt += 1 i += 1 print(ans)
Statement There are N towns on a line running east-west. The towns are numbered 1 through N, in order from west to east. Each point on the line has a one- dimensional coordinate, and a point that is farther east has a greater coordinate value. The coordinate of town i is X_i. You are now at town 1, and you want to visit all the other towns. You have two ways to travel: * Walk on the line. Your _fatigue level_ increases by A each time you travel a distance of 1, regardless of direction. * Teleport to any location of your choice. Your fatigue level increases by B, regardless of the distance covered. Find the minimum possible total increase of your fatigue level when you visit all the towns in these two ways.
[{"input": "4 2 5\n 1 2 5 7", "output": "11\n \n\nFrom town 1, walk a distance of 1 to town 2, then teleport to town 3, then\nwalk a distance of 2 to town 4. The total increase of your fatigue level in\nthis case is 2\u00d71+5+2\u00d72=11, which is the minimum possible value.\n\n* * *"}, {"input": "7 1 100\n 40 43 45 105 108 115 124", "output": "84\n \n\nFrom town 1, walk all the way to town 7. The total increase of your fatigue\nlevel in this case is 84, which is the minimum possible value.\n\n* * *"}, {"input": "7 1 2\n 24 35 40 68 72 99 103", "output": "12\n \n\nVisit all the towns in any order by teleporting six times. The total increase\nof your fatigue level in this case is 12, which is the minimum possible value."}]
Print the minimum possible total increase of your fatigue level when you visit all the towns. * * *
s746643967
Runtime Error
p03831
The input is given from Standard Input in the following format: N A B X_1 X_2 ... X_N
a = list(map(int,input().split())) b = list(map(int,input().split())) su = 0 c = [0] for i in range(len(b)-2): c.append(0) for i in range(a[0] - 1): c[i] = b[i+1] - b[i] for i in range(len(c)): if a[2] <= c[i]*a[1]: su += a[2] else: su += c[i]*a[1] print(su
Statement There are N towns on a line running east-west. The towns are numbered 1 through N, in order from west to east. Each point on the line has a one- dimensional coordinate, and a point that is farther east has a greater coordinate value. The coordinate of town i is X_i. You are now at town 1, and you want to visit all the other towns. You have two ways to travel: * Walk on the line. Your _fatigue level_ increases by A each time you travel a distance of 1, regardless of direction. * Teleport to any location of your choice. Your fatigue level increases by B, regardless of the distance covered. Find the minimum possible total increase of your fatigue level when you visit all the towns in these two ways.
[{"input": "4 2 5\n 1 2 5 7", "output": "11\n \n\nFrom town 1, walk a distance of 1 to town 2, then teleport to town 3, then\nwalk a distance of 2 to town 4. The total increase of your fatigue level in\nthis case is 2\u00d71+5+2\u00d72=11, which is the minimum possible value.\n\n* * *"}, {"input": "7 1 100\n 40 43 45 105 108 115 124", "output": "84\n \n\nFrom town 1, walk all the way to town 7. The total increase of your fatigue\nlevel in this case is 84, which is the minimum possible value.\n\n* * *"}, {"input": "7 1 2\n 24 35 40 68 72 99 103", "output": "12\n \n\nVisit all the towns in any order by teleporting six times. The total increase\nof your fatigue level in this case is 12, which is the minimum possible value."}]
Print the minimum possible total increase of your fatigue level when you visit all the towns. * * *
s282205303
Wrong Answer
p03831
The input is given from Standard Input in the following format: N A B X_1 X_2 ... X_N
# coding: utf-8 # Your code here! # coding: utf-8 from fractions import gcd from functools import reduce import sys sys.setrecursionlimit(200000000) from inspect import currentframe # my functions here! # 標準エラー出力 def printargs2err(*args): names = {id(v): k for k, v in currentframe().f_back.f_locals.items()} print( ", ".join(names.get(id(arg), "???") + " : " + repr(arg) for arg in args), file=sys.stderr, ) def debug(x): print(x, file=sys.stderr) def printglobals(): for symbol, value in globals().items(): print('symbol="%s"、value=%s' % (symbol, value), file=sys.stderr) def printlocals(): for symbol, value in locals().items(): print('symbol="%s"、value=%s' % (symbol, value), file=sys.stderr) # 入力(後でいじる) def pin(type=int): return map(type, input().split()) # 繰り返し自乗法だよ # これはnのp乗をmで割ったあまりをだすよ def modular_w_binary_method(n, m, p): ans = 1 if n > 0 else 0 while p > 0: if p % 2 == 1: ans = (ans * n) % m n = (n**2) % m p //= 2 return ans # mod上でのaの逆元を出すよ """ フェルマーの小定理より a**(p)%p==a isTrue これを利用すれば a**(p-2)%p==a**(-1) isTrue 元と逆元とをかけてpで割れば1が余るよ! """ def modular_inverse(a, prime): return modular_w_binary_method(a, prime, prime - 2) # 逆元を使うと容易に頑張れるc def conbination(n, a, mod=10**9 + 7): # cはイラない res = 1 for s in range(a): res = (res * (n - s) * (modular_inverse(s + 1, mod))) % mod return res # 操作から作れるものの組み合わせは何個かー>同じものでも違う方法で構成できるかから考える方法もある """ """ # solution: # input N, A, B = pin() X = list(pin()) t = (B + 1) // A ans = 0 for i in range(1, N): f = X[i] - X[i - 1] if f < t: ans += A * f else: ans += B print(ans) # print(["No","Yes"][cond]) # print([["NA","YYMM"],["MMYY","AMBIGUOUS"]][cMMYY][cYYMM]) """ #printデバッグ消した? #前の問題の結果見てないのに次の問題に行くの? """ """ お前カッコ閉じるの忘れてるだろ """
Statement There are N towns on a line running east-west. The towns are numbered 1 through N, in order from west to east. Each point on the line has a one- dimensional coordinate, and a point that is farther east has a greater coordinate value. The coordinate of town i is X_i. You are now at town 1, and you want to visit all the other towns. You have two ways to travel: * Walk on the line. Your _fatigue level_ increases by A each time you travel a distance of 1, regardless of direction. * Teleport to any location of your choice. Your fatigue level increases by B, regardless of the distance covered. Find the minimum possible total increase of your fatigue level when you visit all the towns in these two ways.
[{"input": "4 2 5\n 1 2 5 7", "output": "11\n \n\nFrom town 1, walk a distance of 1 to town 2, then teleport to town 3, then\nwalk a distance of 2 to town 4. The total increase of your fatigue level in\nthis case is 2\u00d71+5+2\u00d72=11, which is the minimum possible value.\n\n* * *"}, {"input": "7 1 100\n 40 43 45 105 108 115 124", "output": "84\n \n\nFrom town 1, walk all the way to town 7. The total increase of your fatigue\nlevel in this case is 84, which is the minimum possible value.\n\n* * *"}, {"input": "7 1 2\n 24 35 40 68 72 99 103", "output": "12\n \n\nVisit all the towns in any order by teleporting six times. The total increase\nof your fatigue level in this case is 12, which is the minimum possible value."}]
Print the minimum possible total increase of your fatigue level when you visit all the towns. * * *
s779658396
Accepted
p03831
The input is given from Standard Input in the following format: N A B X_1 X_2 ... X_N
S1 = input() S1 = S1.split() S2 = input() S2 = S2.split() move = 0 N = int(S1[0]) A = int(S1[1]) B = int(S1[2]) for i in range(N - 1): div = int(S2[i + 1]) - int(S2[i]) if (div) * A >= B: move += B else: move += A * (div) print(move)
Statement There are N towns on a line running east-west. The towns are numbered 1 through N, in order from west to east. Each point on the line has a one- dimensional coordinate, and a point that is farther east has a greater coordinate value. The coordinate of town i is X_i. You are now at town 1, and you want to visit all the other towns. You have two ways to travel: * Walk on the line. Your _fatigue level_ increases by A each time you travel a distance of 1, regardless of direction. * Teleport to any location of your choice. Your fatigue level increases by B, regardless of the distance covered. Find the minimum possible total increase of your fatigue level when you visit all the towns in these two ways.
[{"input": "4 2 5\n 1 2 5 7", "output": "11\n \n\nFrom town 1, walk a distance of 1 to town 2, then teleport to town 3, then\nwalk a distance of 2 to town 4. The total increase of your fatigue level in\nthis case is 2\u00d71+5+2\u00d72=11, which is the minimum possible value.\n\n* * *"}, {"input": "7 1 100\n 40 43 45 105 108 115 124", "output": "84\n \n\nFrom town 1, walk all the way to town 7. The total increase of your fatigue\nlevel in this case is 84, which is the minimum possible value.\n\n* * *"}, {"input": "7 1 2\n 24 35 40 68 72 99 103", "output": "12\n \n\nVisit all the towns in any order by teleporting six times. The total increase\nof your fatigue level in this case is 12, which is the minimum possible value."}]
Print N integers, with spaces in between. The i-th integer (1 \leq i \leq N) should be the i-th element in a_K. * * *
s271022308
Wrong Answer
p03098
Input is given from Standard Input in the following format: N K p_1 ... p_N q_1 ... q_N
# D問題 N, K = map(int, input().split()) p = list(map(int, input().split())) q = list(map(int, input().split())) r = [0 for i in range(N)] for i in range(N): r[p[i] - 1] = q[i] if K % 2 == 0: if K % 4 == 0: for i in range(N): print(p[i], end=" ") else: for i in range(N): print(r[i], end=" ") else: if K % 4 == 1: for i in range(N): print(r[i], end=" ") else: for i in range(N): print(q[i], end=" ")
Statement For two permutations p and q of the integers from 1 through N, let f(p,q) be the permutation that satisfies the following: * The p_i-th element (1 \leq i \leq N) in f(p,q) is q_i. Here, p_i and q_i respectively denote the i-th element in p and q. You are given two permutations p and q of the integers from 1 through N. We will now define a sequence {a_n} of permutations of the integers from 1 through N, as follows: * a_1=p, a_2=q * a_{n+2}=f(a_n,a_{n+1}) ( n \geq 1 ) Given a positive integer K, find a_K.
[{"input": "3 3\n 1 2 3\n 3 2 1", "output": "3 2 1\n \n\nSince a_3=f(p,q), we just need to find f(p,q). We have p_i=i here, so\nf(p,q)=q.\n\n* * *"}, {"input": "5 5\n 4 5 1 2 3\n 3 2 1 5 4", "output": "4 3 2 1 5\n \n\n* * *"}, {"input": "10 1000000000\n 7 10 6 5 4 2 9 1 3 8\n 4 1 9 2 3 7 8 10 6 5", "output": "7 9 4 8 2 5 1 6 10 3"}]
Print N integers, with spaces in between. The i-th integer (1 \leq i \leq N) should be the i-th element in a_K. * * *
s941328353
Accepted
p03098
Input is given from Standard Input in the following format: N K p_1 ... p_N q_1 ... q_N
from operator import itemgetter def get_identity(): return list(range(1, n + 1)) def composition(ppp, qqq): return [ppp[q - 1] for q in qqq] def reverse_composition(ppp, qqq): return [ppp[i] for i, q in sorted(enumerate(qqq), key=itemgetter(1))] def solve(k, ppp, qqq): qp = reverse_composition(qqq, ppp) qpq = reverse_composition(qp, qqq) qpqp = composition(qpq, ppp) l, m = divmod(k - 1, 6) res = get_identity() tmp = qpqp while l: if l % 2 == 1: res = composition(res, tmp) tmp = composition(tmp, tmp) l >>= 1 m = (k - 1) % 6 if m == 0: base = ppp elif m == 1: base = qqq elif m == 2: base = reverse_composition(qqq, ppp) elif m == 3: res = composition(res, qqq) base = reverse_composition(get_identity(), ppp) elif m == 4: res = composition(res, qqq) res = reverse_composition(res, ppp) base = reverse_composition(get_identity(), qqq) elif m == 5: res = composition(res, qqq) res = reverse_composition(res, ppp) base = reverse_composition(get_identity(), qqq) base = composition(base, ppp) else: raise NotImplementedError ans = composition(res, base) ans = reverse_composition(ans, res) return ans n, k = map(int, input().split()) ppp = list(map(int, input().split())) qqq = list(map(int, input().split())) print(*solve(k, ppp, qqq))
Statement For two permutations p and q of the integers from 1 through N, let f(p,q) be the permutation that satisfies the following: * The p_i-th element (1 \leq i \leq N) in f(p,q) is q_i. Here, p_i and q_i respectively denote the i-th element in p and q. You are given two permutations p and q of the integers from 1 through N. We will now define a sequence {a_n} of permutations of the integers from 1 through N, as follows: * a_1=p, a_2=q * a_{n+2}=f(a_n,a_{n+1}) ( n \geq 1 ) Given a positive integer K, find a_K.
[{"input": "3 3\n 1 2 3\n 3 2 1", "output": "3 2 1\n \n\nSince a_3=f(p,q), we just need to find f(p,q). We have p_i=i here, so\nf(p,q)=q.\n\n* * *"}, {"input": "5 5\n 4 5 1 2 3\n 3 2 1 5 4", "output": "4 3 2 1 5\n \n\n* * *"}, {"input": "10 1000000000\n 7 10 6 5 4 2 9 1 3 8\n 4 1 9 2 3 7 8 10 6 5", "output": "7 9 4 8 2 5 1 6 10 3"}]
Print N integers, with spaces in between. The i-th integer (1 \leq i \leq N) should be the i-th element in a_K. * * *
s983635502
Wrong Answer
p03098
Input is given from Standard Input in the following format: N K p_1 ... p_N q_1 ... q_N
N, K = map(int, input().split()) p = [int(i) - 1 for i in input().split()] q = [int(i) - 1 for i in input().split()] def inv(seq): res = [0 for i in range(N)] for i in range(N): res[seq[i]] = i return seq def times(seq1, seq2): res = [0 for i in range(N)] for i in range(N): res[i] = seq1[seq2[i]] return res md = [[0 for i in range(N)] for i in range(6)] for i in range(N): md[0][i] = p[i] md[1][i] = q[i] for i in range(2, 6): md[i] = times(md[i - 1], inv(md[i - 2])) A = times(times(q, inv(p)), times(inv(q), p)) T = (K - 1) // 6 def expseq(seq, k): if k == 0: return [i for i in range(N)] elif k == 1: return seq elif k % 2 == 0: return expseq(times(seq, seq), k // 2) else: return times(expseq(times(seq, seq), k // 2), seq) tmp = expseq(A, T) ans = times(times(tmp, md[(K - 1) % 6]), inv(tmp)) print(" ".join([str(i + 1) for i in ans]))
Statement For two permutations p and q of the integers from 1 through N, let f(p,q) be the permutation that satisfies the following: * The p_i-th element (1 \leq i \leq N) in f(p,q) is q_i. Here, p_i and q_i respectively denote the i-th element in p and q. You are given two permutations p and q of the integers from 1 through N. We will now define a sequence {a_n} of permutations of the integers from 1 through N, as follows: * a_1=p, a_2=q * a_{n+2}=f(a_n,a_{n+1}) ( n \geq 1 ) Given a positive integer K, find a_K.
[{"input": "3 3\n 1 2 3\n 3 2 1", "output": "3 2 1\n \n\nSince a_3=f(p,q), we just need to find f(p,q). We have p_i=i here, so\nf(p,q)=q.\n\n* * *"}, {"input": "5 5\n 4 5 1 2 3\n 3 2 1 5 4", "output": "4 3 2 1 5\n \n\n* * *"}, {"input": "10 1000000000\n 7 10 6 5 4 2 9 1 3 8\n 4 1 9 2 3 7 8 10 6 5", "output": "7 9 4 8 2 5 1 6 10 3"}]
Print N integers, with spaces in between. The i-th integer (1 \leq i \leq N) should be the i-th element in a_K. * * *
s304287662
Wrong Answer
p03098
Input is given from Standard Input in the following format: N K p_1 ... p_N q_1 ... q_N
# get f def make_f(p, q): N = len(p) f = [0 for i in range(N)] for i in range(N): f[p[i] - 1] = q[i] return f # input N, K = input().split(" ") N = int(N) K = int(K) p = input().split(" ") p = [int(pi) for pi in p] q = input().split(" ") q = [int(qi) for qi in q] A = [[], p, q] for i in range(3, K + 1): A.append(make_f(A[-2], A[-1])) print(A[-1])
Statement For two permutations p and q of the integers from 1 through N, let f(p,q) be the permutation that satisfies the following: * The p_i-th element (1 \leq i \leq N) in f(p,q) is q_i. Here, p_i and q_i respectively denote the i-th element in p and q. You are given two permutations p and q of the integers from 1 through N. We will now define a sequence {a_n} of permutations of the integers from 1 through N, as follows: * a_1=p, a_2=q * a_{n+2}=f(a_n,a_{n+1}) ( n \geq 1 ) Given a positive integer K, find a_K.
[{"input": "3 3\n 1 2 3\n 3 2 1", "output": "3 2 1\n \n\nSince a_3=f(p,q), we just need to find f(p,q). We have p_i=i here, so\nf(p,q)=q.\n\n* * *"}, {"input": "5 5\n 4 5 1 2 3\n 3 2 1 5 4", "output": "4 3 2 1 5\n \n\n* * *"}, {"input": "10 1000000000\n 7 10 6 5 4 2 9 1 3 8\n 4 1 9 2 3 7 8 10 6 5", "output": "7 9 4 8 2 5 1 6 10 3"}]
Print the number of different integers not exceeding X that can be written on the blackboard. * * *
s283497499
Wrong Answer
p03562
Input is given from Standard Input in the following format: N X A_1 : A_N
#!/usr/bin/env python3 def divmod(f, g): assert g h = 0 for i in reversed(range(f.bit_length() - g.bit_length() + 1)): if f & (1 << (g.bit_length() + i - 1)): f ^= g << i h ^= 1 << i return h, f def gcd(f, g): while g: q, r = divmod(f, g) f, g = g, r return f import functools def solve(n, x, a): # (g) = (a_1, ..., a_n) is a principal ideal since F_2[x] is a PID g = functools.reduce(gcd, a) # count h in F_2[x] s.t. h g <= x cnt = 0 h = 0 for k in reversed(range(x.bit_length() - g.bit_length() + 1)): bit = 1 << (g.bit_length() + k - 1) if x & bit: cnt += 1 << k if (x & bit) != (h & bit): h ^= g << k cnt += 1 # zero return cnt % 998244353 def main(): n, x = input().split() n = int(n) x = int(x, 2) a = [int(input(), 2) for _ in range(n)] print(solve(n, x, a)) if __name__ == "__main__": main()
Statement There are N non-negative integers written on a blackboard. The i-th integer is A_i. Takahashi can perform the following two kinds of operations any number of times in any order: * Select one integer written on the board (let this integer be X). Write 2X on the board, without erasing the selected integer. * Select two integers, possibly the same, written on the board (let these integers be X and Y). Write X XOR Y (XOR stands for bitwise xor) on the blackboard, without erasing the selected integers. How many different integers not exceeding X can be written on the blackboard? We will also count the integers that are initially written on the board. Since the answer can be extremely large, find the count modulo 998244353.
[{"input": "3 111\n 1111\n 10111\n 10010", "output": "4\n \n\nInitially, 15, 23 and 18 are written on the blackboard. Among the integers not\nexceeding 7, four integers, 0, 3, 5 and 6, can be written. For example, 6 can\nbe written as follows:\n\n * Double 15 to write 30.\n * Take XOR of 30 and 18 to write 12.\n * Double 12 to write 24.\n * Take XOR of 30 and 24 to write 6.\n\n* * *"}, {"input": "4 100100\n 1011\n 1110\n 110101\n 1010110", "output": "37\n \n\n* * *"}, {"input": "4 111001100101001\n 10111110\n 1001000110\n 100000101\n 11110000011", "output": "1843\n \n\n* * *"}, {"input": "1 111111111111111111111111111111111111111111111111111111111111111\n 1", "output": "466025955\n \n\nBe sure to find the count modulo 998244353."}]
Print the number of different integers not exceeding X that can be written on the blackboard. * * *
s947434116
Accepted
p03562
Input is given from Standard Input in the following format: N X A_1 : A_N
import random mod = 998244353 N, X = input().split() N = int(N) A = [] for i in range(N): A.append(int(input(), 2)) A.sort() a = A[-1] M = max(len(X) - 1, a.bit_length() - 1) data = [0] * (M + 1) n = a.bit_length() - 1 for i in range(M - n, -1, -1): data[i + n] = a << i low = n for i in range(0, N - 1): a = A[i] flag = True while flag: n = a.bit_length() for j in range(n - 1, low - 1, -1): a = min(a, a ^ data[j]) if a != 0: data[a.bit_length() - 1] = a id = a.bit_length() - 1 low = id while data[id + 1] == 0: data[id + 1] = min((data[id] << 1) ^ a, (data[id] << 1)) id += 1 else: a = data[id] << 1 else: break data2 = [0] * (M + 1) for i in range(M + 1): data2[i] = data[i] != 0 for i in range(1, M + 1): data2[i] += data2[i - 1] data2 = [0] + data2 # print(data) # print(data2) x = 0 ans = 0 n = len(X) - 1 for i in range(len(X)): if X[i] == "1": if x >> (n - i) & 1 == 1: if data[n - i]: ans += pow(2, data2[n - i], mod) ans %= mod else: ans += pow(2, data2[n - i], mod) ans %= mod if data[n - i]: x = x ^ data[n - i] else: break else: if x >> (n - i) & 1 == 1: if data[n - i]: x = x ^ data[n - i] else: break else: continue else: ans += 1 ans %= mod print(ans)
Statement There are N non-negative integers written on a blackboard. The i-th integer is A_i. Takahashi can perform the following two kinds of operations any number of times in any order: * Select one integer written on the board (let this integer be X). Write 2X on the board, without erasing the selected integer. * Select two integers, possibly the same, written on the board (let these integers be X and Y). Write X XOR Y (XOR stands for bitwise xor) on the blackboard, without erasing the selected integers. How many different integers not exceeding X can be written on the blackboard? We will also count the integers that are initially written on the board. Since the answer can be extremely large, find the count modulo 998244353.
[{"input": "3 111\n 1111\n 10111\n 10010", "output": "4\n \n\nInitially, 15, 23 and 18 are written on the blackboard. Among the integers not\nexceeding 7, four integers, 0, 3, 5 and 6, can be written. For example, 6 can\nbe written as follows:\n\n * Double 15 to write 30.\n * Take XOR of 30 and 18 to write 12.\n * Double 12 to write 24.\n * Take XOR of 30 and 24 to write 6.\n\n* * *"}, {"input": "4 100100\n 1011\n 1110\n 110101\n 1010110", "output": "37\n \n\n* * *"}, {"input": "4 111001100101001\n 10111110\n 1001000110\n 100000101\n 11110000011", "output": "1843\n \n\n* * *"}, {"input": "1 111111111111111111111111111111111111111111111111111111111111111\n 1", "output": "466025955\n \n\nBe sure to find the count modulo 998244353."}]
Print the minimum number of operations required when Ringo can freely decide how Snuke walks. * * *
s592226412
Wrong Answer
p03132
Input is given from Standard Input in the following format: L A_1 : A_L
import sys sys.setrecursionlimit(10**6) int1 = lambda x: int(x) - 1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.readline()) def MI(): return map(int, sys.stdin.readline().split()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def SI(): return sys.stdin.readline()[:-1] def main(): n = II() inf = 10**16 dpl = [inf] * (n + 1) dpl[0] = 0 odd = 0 aa = [] for i in range(n): a = II() odd += a % 2 dpl[i + 1] = min(odd, dpl[i] + 1 - a % 2) aa.append(a) # print(dpl) dpr = [inf] * (n + 1) dpr[n] = 0 odd = 0 for i in range(n - 1, -1, -1): a = aa[i] odd += a % 2 dpr[i] = min(odd, dpr[i + 1] + 1 - a % 2) # print(dpr) even = [0] for a in aa: if a % 2: even.append(even[-1]) else: even.append(even[-1] + 1) # print(even) mn = inf ans = inf for i in range(n + 1): mn = min(mn, dpl[i] - even[i]) cur = mn + dpr[i] + even[i] ans = min(ans, cur) # print(aa) print(ans) main()
Statement Snuke stands on a number line. He has L ears, and he will walk along the line continuously under the following conditions: * He never visits a point with coordinate less than 0, or a point with coordinate greater than L. * He starts walking at a point with integer coordinate, and also finishes walking at a point with integer coordinate. * He only changes direction at a point with integer coordinate. Each time when Snuke passes a point with coordinate i-0.5, where i is an integer, he put a stone in his i-th ear. After Snuke finishes walking, Ringo will repeat the following operations in some order so that, for each i, Snuke's i-th ear contains A_i stones: * Put a stone in one of Snuke's ears. * Remove a stone from one of Snuke's ears. Find the minimum number of operations required when Ringo can freely decide how Snuke walks.
[{"input": "4\n 1\n 0\n 2\n 3", "output": "1\n \n\nAssume that Snuke walks as follows:\n\n * He starts walking at coordinate 3 and finishes walking at coordinate 4, visiting coordinates 3,4,3,2,3,4 in this order.\n\nThen, Snuke's four ears will contain 0,0,2,3 stones, respectively. Ringo can\nsatisfy the requirement by putting one stone in the first ear.\n\n* * *"}, {"input": "8\n 2\n 0\n 0\n 2\n 1\n 3\n 4\n 1", "output": "3\n \n\n* * *"}, {"input": "7\n 314159265\n 358979323\n 846264338\n 327950288\n 419716939\n 937510582\n 0", "output": "1"}]
Print the minimum number of operations required when Ringo can freely decide how Snuke walks. * * *
s307871034
Runtime Error
p03132
Input is given from Standard Input in the following format: L A_1 : A_L
N=int(input()) A=[int(input()) for i in range(N)] B=[0]*N for i in range(N): if A[i]>0: if A[i]%2==0: B[i]=2 else: B[i]=1 L=[0,2,1,2,0] dp=[[10**9]*5 for i in range(N+1)] for k in range(5): dp[0][k]=0 for i in range(1,N+1): for k in range(5): for k1 in range(k+1): if 1<=k<=3: dp[i][k]=min(dp[i][k],dp[i-1][k1]+abs(L[k]-B[i-1])) else: dp[i][k]=min(dp[i][k],dp[i-1][k1]+A[i-1]) ans=10**9 #print(B) #print(dp) for a in range(5): ans=min(ans,dp[N][a]) print(ans)v
Statement Snuke stands on a number line. He has L ears, and he will walk along the line continuously under the following conditions: * He never visits a point with coordinate less than 0, or a point with coordinate greater than L. * He starts walking at a point with integer coordinate, and also finishes walking at a point with integer coordinate. * He only changes direction at a point with integer coordinate. Each time when Snuke passes a point with coordinate i-0.5, where i is an integer, he put a stone in his i-th ear. After Snuke finishes walking, Ringo will repeat the following operations in some order so that, for each i, Snuke's i-th ear contains A_i stones: * Put a stone in one of Snuke's ears. * Remove a stone from one of Snuke's ears. Find the minimum number of operations required when Ringo can freely decide how Snuke walks.
[{"input": "4\n 1\n 0\n 2\n 3", "output": "1\n \n\nAssume that Snuke walks as follows:\n\n * He starts walking at coordinate 3 and finishes walking at coordinate 4, visiting coordinates 3,4,3,2,3,4 in this order.\n\nThen, Snuke's four ears will contain 0,0,2,3 stones, respectively. Ringo can\nsatisfy the requirement by putting one stone in the first ear.\n\n* * *"}, {"input": "8\n 2\n 0\n 0\n 2\n 1\n 3\n 4\n 1", "output": "3\n \n\n* * *"}, {"input": "7\n 314159265\n 358979323\n 846264338\n 327950288\n 419716939\n 937510582\n 0", "output": "1"}]
Print the minimum number of operations required when Ringo can freely decide how Snuke walks. * * *
s310829660
Accepted
p03132
Input is given from Standard Input in the following format: L A_1 : A_L
L, *A = map(int, open(0).read().split()) a0 = a1 = a2 = a3 = a4 = 0 rest = sum(A) P = [2, 1, 0] Q = [1, 0, 1] for a in A: b = (a - 1) % 2 + 1 if a else 0 p = P[b] q = Q[b] a0 += a a1 = min(a0, a1 + p) a2 = min(a1, a2 + q) a3 = min(a2, a3 + p) a4 = min(a3, a4 + a) print(min(a0, a1, a2, a3, a4))
Statement Snuke stands on a number line. He has L ears, and he will walk along the line continuously under the following conditions: * He never visits a point with coordinate less than 0, or a point with coordinate greater than L. * He starts walking at a point with integer coordinate, and also finishes walking at a point with integer coordinate. * He only changes direction at a point with integer coordinate. Each time when Snuke passes a point with coordinate i-0.5, where i is an integer, he put a stone in his i-th ear. After Snuke finishes walking, Ringo will repeat the following operations in some order so that, for each i, Snuke's i-th ear contains A_i stones: * Put a stone in one of Snuke's ears. * Remove a stone from one of Snuke's ears. Find the minimum number of operations required when Ringo can freely decide how Snuke walks.
[{"input": "4\n 1\n 0\n 2\n 3", "output": "1\n \n\nAssume that Snuke walks as follows:\n\n * He starts walking at coordinate 3 and finishes walking at coordinate 4, visiting coordinates 3,4,3,2,3,4 in this order.\n\nThen, Snuke's four ears will contain 0,0,2,3 stones, respectively. Ringo can\nsatisfy the requirement by putting one stone in the first ear.\n\n* * *"}, {"input": "8\n 2\n 0\n 0\n 2\n 1\n 3\n 4\n 1", "output": "3\n \n\n* * *"}, {"input": "7\n 314159265\n 358979323\n 846264338\n 327950288\n 419716939\n 937510582\n 0", "output": "1"}]
Print the minimum number of operations required when Ringo can freely decide how Snuke walks. * * *
s189358798
Wrong Answer
p03132
Input is given from Standard Input in the following format: L A_1 : A_L
l = int(input()) a = [] for i in range(l): a.append(int(input())) if len(a) == len(set(a)): print(1) else: print(len(a) - len(set(a)))
Statement Snuke stands on a number line. He has L ears, and he will walk along the line continuously under the following conditions: * He never visits a point with coordinate less than 0, or a point with coordinate greater than L. * He starts walking at a point with integer coordinate, and also finishes walking at a point with integer coordinate. * He only changes direction at a point with integer coordinate. Each time when Snuke passes a point with coordinate i-0.5, where i is an integer, he put a stone in his i-th ear. After Snuke finishes walking, Ringo will repeat the following operations in some order so that, for each i, Snuke's i-th ear contains A_i stones: * Put a stone in one of Snuke's ears. * Remove a stone from one of Snuke's ears. Find the minimum number of operations required when Ringo can freely decide how Snuke walks.
[{"input": "4\n 1\n 0\n 2\n 3", "output": "1\n \n\nAssume that Snuke walks as follows:\n\n * He starts walking at coordinate 3 and finishes walking at coordinate 4, visiting coordinates 3,4,3,2,3,4 in this order.\n\nThen, Snuke's four ears will contain 0,0,2,3 stones, respectively. Ringo can\nsatisfy the requirement by putting one stone in the first ear.\n\n* * *"}, {"input": "8\n 2\n 0\n 0\n 2\n 1\n 3\n 4\n 1", "output": "3\n \n\n* * *"}, {"input": "7\n 314159265\n 358979323\n 846264338\n 327950288\n 419716939\n 937510582\n 0", "output": "1"}]
Print the minimum number of operations required when Ringo can freely decide how Snuke walks. * * *
s094187821
Wrong Answer
p03132
Input is given from Standard Input in the following format: L A_1 : A_L
print(list(map(int, open(0).read().split())).count(0))
Statement Snuke stands on a number line. He has L ears, and he will walk along the line continuously under the following conditions: * He never visits a point with coordinate less than 0, or a point with coordinate greater than L. * He starts walking at a point with integer coordinate, and also finishes walking at a point with integer coordinate. * He only changes direction at a point with integer coordinate. Each time when Snuke passes a point with coordinate i-0.5, where i is an integer, he put a stone in his i-th ear. After Snuke finishes walking, Ringo will repeat the following operations in some order so that, for each i, Snuke's i-th ear contains A_i stones: * Put a stone in one of Snuke's ears. * Remove a stone from one of Snuke's ears. Find the minimum number of operations required when Ringo can freely decide how Snuke walks.
[{"input": "4\n 1\n 0\n 2\n 3", "output": "1\n \n\nAssume that Snuke walks as follows:\n\n * He starts walking at coordinate 3 and finishes walking at coordinate 4, visiting coordinates 3,4,3,2,3,4 in this order.\n\nThen, Snuke's four ears will contain 0,0,2,3 stones, respectively. Ringo can\nsatisfy the requirement by putting one stone in the first ear.\n\n* * *"}, {"input": "8\n 2\n 0\n 0\n 2\n 1\n 3\n 4\n 1", "output": "3\n \n\n* * *"}, {"input": "7\n 314159265\n 358979323\n 846264338\n 327950288\n 419716939\n 937510582\n 0", "output": "1"}]
Print the minimum number of operations required when Ringo can freely decide how Snuke walks. * * *
s397657021
Runtime Error
p03132
Input is given from Standard Input in the following format: L A_1 : A_L
( l, *a, ) = map(int, open(0).read().split()) b = [int(i % 2 == j % 2) for i, j in zip(a, a[1:])] a = 0 c = b[0] for i in range(1, len(b)): if b[i]: c += 1 else: a = max(a, c) c = 0 print(max(a, c))
Statement Snuke stands on a number line. He has L ears, and he will walk along the line continuously under the following conditions: * He never visits a point with coordinate less than 0, or a point with coordinate greater than L. * He starts walking at a point with integer coordinate, and also finishes walking at a point with integer coordinate. * He only changes direction at a point with integer coordinate. Each time when Snuke passes a point with coordinate i-0.5, where i is an integer, he put a stone in his i-th ear. After Snuke finishes walking, Ringo will repeat the following operations in some order so that, for each i, Snuke's i-th ear contains A_i stones: * Put a stone in one of Snuke's ears. * Remove a stone from one of Snuke's ears. Find the minimum number of operations required when Ringo can freely decide how Snuke walks.
[{"input": "4\n 1\n 0\n 2\n 3", "output": "1\n \n\nAssume that Snuke walks as follows:\n\n * He starts walking at coordinate 3 and finishes walking at coordinate 4, visiting coordinates 3,4,3,2,3,4 in this order.\n\nThen, Snuke's four ears will contain 0,0,2,3 stones, respectively. Ringo can\nsatisfy the requirement by putting one stone in the first ear.\n\n* * *"}, {"input": "8\n 2\n 0\n 0\n 2\n 1\n 3\n 4\n 1", "output": "3\n \n\n* * *"}, {"input": "7\n 314159265\n 358979323\n 846264338\n 327950288\n 419716939\n 937510582\n 0", "output": "1"}]
Print the minimum number of operations required when Ringo can freely decide how Snuke walks. * * *
s102389952
Wrong Answer
p03132
Input is given from Standard Input in the following format: L A_1 : A_L
L = int(input()) stones_count = [] for i in range(0, L): A = int(input()) if A % 2 == 1: stones_count.append(1) elif A == 0: stones_count.append(0) else: stones_count.append(2) sub_count_0 = [] sub_count_1 = [] sub_count_2 = [] count_0 = 0 count_1 = 0 count_2 = 0 for i in range(0, L): if stones_count[i] == 0: if count_1 != 0: sub_count_1.append(count_1) if count_2 != 0: sub_count_2.append(count_2) count_1 = 0 count_2 = 0 count_0 += 1 elif stones_count[i] == 1: if count_0 != 0: sub_count_0.append(count_0) if count_2 != 0: sub_count_2.append(count_2) count_2 = 0 count_1 += 1 else: if count_0 != 0: sub_count_0.append(count_0) count_1 += 1 count_2 += 1 if count_0 != 0: sub_count_0.append(count_0) if count_1 != 0: sub_count_1.append(count_1) if count_2 != 0: sub_count_2.append(count_2) result = min(len(sub_count_1) - 1, sum(sub_count_0)) print(result + len(sub_count_2) - 1)
Statement Snuke stands on a number line. He has L ears, and he will walk along the line continuously under the following conditions: * He never visits a point with coordinate less than 0, or a point with coordinate greater than L. * He starts walking at a point with integer coordinate, and also finishes walking at a point with integer coordinate. * He only changes direction at a point with integer coordinate. Each time when Snuke passes a point with coordinate i-0.5, where i is an integer, he put a stone in his i-th ear. After Snuke finishes walking, Ringo will repeat the following operations in some order so that, for each i, Snuke's i-th ear contains A_i stones: * Put a stone in one of Snuke's ears. * Remove a stone from one of Snuke's ears. Find the minimum number of operations required when Ringo can freely decide how Snuke walks.
[{"input": "4\n 1\n 0\n 2\n 3", "output": "1\n \n\nAssume that Snuke walks as follows:\n\n * He starts walking at coordinate 3 and finishes walking at coordinate 4, visiting coordinates 3,4,3,2,3,4 in this order.\n\nThen, Snuke's four ears will contain 0,0,2,3 stones, respectively. Ringo can\nsatisfy the requirement by putting one stone in the first ear.\n\n* * *"}, {"input": "8\n 2\n 0\n 0\n 2\n 1\n 3\n 4\n 1", "output": "3\n \n\n* * *"}, {"input": "7\n 314159265\n 358979323\n 846264338\n 327950288\n 419716939\n 937510582\n 0", "output": "1"}]
Print the minimum number of operations required when Ringo can freely decide how Snuke walks. * * *
s756735555
Runtime Error
p03132
Input is given from Standard Input in the following format: L A_1 : A_L
//Pantyhose(black) + glasses = infinity #include <bits/stdc++.h> using namespace std; #define debug(x) cerr << #x << " = " << x << '\n'; #define BP() cerr << "OK!\n"; #define PR(A, n) {cerr << #A << " = "; for (int64_t _=1; _<=n; ++_) cerr << A[_] << ' '; cerr << '\n';} #define PR0(A, n) {cerr << #A << " = "; for (int64_t _=0; _<n; ++_) cerr << A[_] << ' '; cerr << '\n';} #define FILE_NAME "sol" const int64_t MAX_N = 200002; const int64_t INF = 1e9; int n; int64_t a[MAX_N], cost0[MAX_N], cost1[MAX_N]; int64_t f0[MAX_N], f1[MAX_N], f2[MAX_N], f3[MAX_N], f4[MAX_N]; void readInput() { cin >> n; for (int i=1; i<=n; ++i) cin >> a[i]; } void solve() { int64_t min_f0, min_f1, min_f2, min_f3; min_f0 = min_f1 = min_f2 = min_f3 = 0; for (int i=1; i<=n; ++i) { cost0[i] = cost0[i-1] + (a[i]==0 ? 2 : a[i]%2); cost1[i] = cost1[i-1] + (a[i]+1)%2; f0[i] = f0[i-1] + a[i]; min_f0 = min(min_f0, -cost0[i]+f0[i]); f1[i] = cost0[i] + min_f0; min_f1 = min(min_f1, -cost1[i]+f1[i]); f2[i] = cost1[i] + min_f1; min_f2 = min(min_f2, -cost0[i]+f2[i]); f3[i] = cost0[i] + min_f2; min_f3 = min(min_f3, -f0[i]+f3[i]); f4[i] = f0[i] + min_f3; } // debug(min_f0); cout << f4[n]; } int main() { #ifdef GLASSES_GIRL freopen(FILE_NAME".inp", "r", stdin); freopen(FILE_NAME".out", "w", stdout); #endif ios::sync_with_stdio(0); cin.tie(0); readInput(); solve(); }
Statement Snuke stands on a number line. He has L ears, and he will walk along the line continuously under the following conditions: * He never visits a point with coordinate less than 0, or a point with coordinate greater than L. * He starts walking at a point with integer coordinate, and also finishes walking at a point with integer coordinate. * He only changes direction at a point with integer coordinate. Each time when Snuke passes a point with coordinate i-0.5, where i is an integer, he put a stone in his i-th ear. After Snuke finishes walking, Ringo will repeat the following operations in some order so that, for each i, Snuke's i-th ear contains A_i stones: * Put a stone in one of Snuke's ears. * Remove a stone from one of Snuke's ears. Find the minimum number of operations required when Ringo can freely decide how Snuke walks.
[{"input": "4\n 1\n 0\n 2\n 3", "output": "1\n \n\nAssume that Snuke walks as follows:\n\n * He starts walking at coordinate 3 and finishes walking at coordinate 4, visiting coordinates 3,4,3,2,3,4 in this order.\n\nThen, Snuke's four ears will contain 0,0,2,3 stones, respectively. Ringo can\nsatisfy the requirement by putting one stone in the first ear.\n\n* * *"}, {"input": "8\n 2\n 0\n 0\n 2\n 1\n 3\n 4\n 1", "output": "3\n \n\n* * *"}, {"input": "7\n 314159265\n 358979323\n 846264338\n 327950288\n 419716939\n 937510582\n 0", "output": "1"}]
Print the minimum number of operations required when Ringo can freely decide how Snuke walks. * * *
s425832443
Runtime Error
p03132
Input is given from Standard Input in the following format: L A_1 : A_L
def f(n): if n==0: return [1,2] if n%2 == 0: return [1,0] return [0,1] l = int(input()) x = [0] x1 = 0 y = [0] y1 = 0 z = [0] z1 = 0 ll = [] for i in range(l): a = int(input()) g = f(a) if a > l: l.append(i) x1 += a y1 += g[0] z1 += g[1] x.append(x1) y.append(y1) z.append(z1) mn = min(try ll l-1) mx = max(try ll else 0) ans = l for i in range(mn): si = x[i-1] for k in range(mx,l): sk = x[l-1]-x[k] for j in range(i-1,k+2): p = y[j]-y[i-1] q = z[j] - z[i-1] r = y[k] - y[j-1] s = z[k] - z[j-1] ssss = min(p+s,q+r) if ssss < ans: ans = ssss print(ans)
Statement Snuke stands on a number line. He has L ears, and he will walk along the line continuously under the following conditions: * He never visits a point with coordinate less than 0, or a point with coordinate greater than L. * He starts walking at a point with integer coordinate, and also finishes walking at a point with integer coordinate. * He only changes direction at a point with integer coordinate. Each time when Snuke passes a point with coordinate i-0.5, where i is an integer, he put a stone in his i-th ear. After Snuke finishes walking, Ringo will repeat the following operations in some order so that, for each i, Snuke's i-th ear contains A_i stones: * Put a stone in one of Snuke's ears. * Remove a stone from one of Snuke's ears. Find the minimum number of operations required when Ringo can freely decide how Snuke walks.
[{"input": "4\n 1\n 0\n 2\n 3", "output": "1\n \n\nAssume that Snuke walks as follows:\n\n * He starts walking at coordinate 3 and finishes walking at coordinate 4, visiting coordinates 3,4,3,2,3,4 in this order.\n\nThen, Snuke's four ears will contain 0,0,2,3 stones, respectively. Ringo can\nsatisfy the requirement by putting one stone in the first ear.\n\n* * *"}, {"input": "8\n 2\n 0\n 0\n 2\n 1\n 3\n 4\n 1", "output": "3\n \n\n* * *"}, {"input": "7\n 314159265\n 358979323\n 846264338\n 327950288\n 419716939\n 937510582\n 0", "output": "1"}]
Print the minimum number of operations required when Ringo can freely decide how Snuke walks. * * *
s984675375
Wrong Answer
p03132
Input is given from Standard Input in the following format: L A_1 : A_L
print(0)
Statement Snuke stands on a number line. He has L ears, and he will walk along the line continuously under the following conditions: * He never visits a point with coordinate less than 0, or a point with coordinate greater than L. * He starts walking at a point with integer coordinate, and also finishes walking at a point with integer coordinate. * He only changes direction at a point with integer coordinate. Each time when Snuke passes a point with coordinate i-0.5, where i is an integer, he put a stone in his i-th ear. After Snuke finishes walking, Ringo will repeat the following operations in some order so that, for each i, Snuke's i-th ear contains A_i stones: * Put a stone in one of Snuke's ears. * Remove a stone from one of Snuke's ears. Find the minimum number of operations required when Ringo can freely decide how Snuke walks.
[{"input": "4\n 1\n 0\n 2\n 3", "output": "1\n \n\nAssume that Snuke walks as follows:\n\n * He starts walking at coordinate 3 and finishes walking at coordinate 4, visiting coordinates 3,4,3,2,3,4 in this order.\n\nThen, Snuke's four ears will contain 0,0,2,3 stones, respectively. Ringo can\nsatisfy the requirement by putting one stone in the first ear.\n\n* * *"}, {"input": "8\n 2\n 0\n 0\n 2\n 1\n 3\n 4\n 1", "output": "3\n \n\n* * *"}, {"input": "7\n 314159265\n 358979323\n 846264338\n 327950288\n 419716939\n 937510582\n 0", "output": "1"}]
Print the minimum number of operations required when Ringo can freely decide how Snuke walks. * * *
s872876084
Wrong Answer
p03132
Input is given from Standard Input in the following format: L A_1 : A_L
n = int(input()) A = [0] * n for i in range(0, n): A[i] = int(input()) ans = 0 res = 0 for i in A: if i > res: ans += i - res res = i print(ans)
Statement Snuke stands on a number line. He has L ears, and he will walk along the line continuously under the following conditions: * He never visits a point with coordinate less than 0, or a point with coordinate greater than L. * He starts walking at a point with integer coordinate, and also finishes walking at a point with integer coordinate. * He only changes direction at a point with integer coordinate. Each time when Snuke passes a point with coordinate i-0.5, where i is an integer, he put a stone in his i-th ear. After Snuke finishes walking, Ringo will repeat the following operations in some order so that, for each i, Snuke's i-th ear contains A_i stones: * Put a stone in one of Snuke's ears. * Remove a stone from one of Snuke's ears. Find the minimum number of operations required when Ringo can freely decide how Snuke walks.
[{"input": "4\n 1\n 0\n 2\n 3", "output": "1\n \n\nAssume that Snuke walks as follows:\n\n * He starts walking at coordinate 3 and finishes walking at coordinate 4, visiting coordinates 3,4,3,2,3,4 in this order.\n\nThen, Snuke's four ears will contain 0,0,2,3 stones, respectively. Ringo can\nsatisfy the requirement by putting one stone in the first ear.\n\n* * *"}, {"input": "8\n 2\n 0\n 0\n 2\n 1\n 3\n 4\n 1", "output": "3\n \n\n* * *"}, {"input": "7\n 314159265\n 358979323\n 846264338\n 327950288\n 419716939\n 937510582\n 0", "output": "1"}]
Print the minimum number of operations required when Ringo can freely decide how Snuke walks. * * *
s288991162
Runtime Error
p03132
Input is given from Standard Input in the following format: L A_1 : A_L
l = int(input()) a = [] mountain = [] count = 1 for i in range(l): x = int(input()) if x == 0 and len(a) > 0: mountain.append(a) a = [] elif x != 0: a.append(x) if len(a) > 0: mountain.append(a) sum_mountain = [] for i in range(len(mountain)): sum_mountain.append(sum(mountain[i])) max_sum = max(sum_mountain) for i in range(len(sum_mountain)): if max_sum != sum_mountain[i]: count += sum_mountain[i] print(count)
Statement Snuke stands on a number line. He has L ears, and he will walk along the line continuously under the following conditions: * He never visits a point with coordinate less than 0, or a point with coordinate greater than L. * He starts walking at a point with integer coordinate, and also finishes walking at a point with integer coordinate. * He only changes direction at a point with integer coordinate. Each time when Snuke passes a point with coordinate i-0.5, where i is an integer, he put a stone in his i-th ear. After Snuke finishes walking, Ringo will repeat the following operations in some order so that, for each i, Snuke's i-th ear contains A_i stones: * Put a stone in one of Snuke's ears. * Remove a stone from one of Snuke's ears. Find the minimum number of operations required when Ringo can freely decide how Snuke walks.
[{"input": "4\n 1\n 0\n 2\n 3", "output": "1\n \n\nAssume that Snuke walks as follows:\n\n * He starts walking at coordinate 3 and finishes walking at coordinate 4, visiting coordinates 3,4,3,2,3,4 in this order.\n\nThen, Snuke's four ears will contain 0,0,2,3 stones, respectively. Ringo can\nsatisfy the requirement by putting one stone in the first ear.\n\n* * *"}, {"input": "8\n 2\n 0\n 0\n 2\n 1\n 3\n 4\n 1", "output": "3\n \n\n* * *"}, {"input": "7\n 314159265\n 358979323\n 846264338\n 327950288\n 419716939\n 937510582\n 0", "output": "1"}]
Print the minimum number of operations required when Ringo can freely decide how Snuke walks. * * *
s639541012
Wrong Answer
p03132
Input is given from Standard Input in the following format: L A_1 : A_L
import sys input = sys.stdin.readline N = int(input()) A = [int(input()) for _ in range(N)] p1 = 0 p2 = 0 P1 = [0] P2 = [0] for a in A: if a == 0: p1 -= 2 p2 += 1 elif a % 2 == 0: p2 -= 1 elif a % 2 == 1: p1 -= 1 p2 += 1 p1 += a P1.append(p1) P2.append(p2) S = sum(A) dp = [[0, 0, 0, 0] for _ in range(N + 1)] dp[N] = [P1[N], P1[N] + P2[N], P1[N], 0] for i in reversed(range(N)): dp[i][0] = max(dp[i + 1][0], P1[i]) dp[i][1] = max(dp[i + 1][1], P2[i] + dp[i][0]) dp[i][2] = min(dp[i + 1][2], P2[i] - dp[i][1]) dp[i][3] = min(dp[i + 1][3], P1[i] + dp[i][2]) print(dp[0][3] + S)
Statement Snuke stands on a number line. He has L ears, and he will walk along the line continuously under the following conditions: * He never visits a point with coordinate less than 0, or a point with coordinate greater than L. * He starts walking at a point with integer coordinate, and also finishes walking at a point with integer coordinate. * He only changes direction at a point with integer coordinate. Each time when Snuke passes a point with coordinate i-0.5, where i is an integer, he put a stone in his i-th ear. After Snuke finishes walking, Ringo will repeat the following operations in some order so that, for each i, Snuke's i-th ear contains A_i stones: * Put a stone in one of Snuke's ears. * Remove a stone from one of Snuke's ears. Find the minimum number of operations required when Ringo can freely decide how Snuke walks.
[{"input": "4\n 1\n 0\n 2\n 3", "output": "1\n \n\nAssume that Snuke walks as follows:\n\n * He starts walking at coordinate 3 and finishes walking at coordinate 4, visiting coordinates 3,4,3,2,3,4 in this order.\n\nThen, Snuke's four ears will contain 0,0,2,3 stones, respectively. Ringo can\nsatisfy the requirement by putting one stone in the first ear.\n\n* * *"}, {"input": "8\n 2\n 0\n 0\n 2\n 1\n 3\n 4\n 1", "output": "3\n \n\n* * *"}, {"input": "7\n 314159265\n 358979323\n 846264338\n 327950288\n 419716939\n 937510582\n 0", "output": "1"}]