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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is lunch time for Mole. His friend, Marmot, prepared him a nice game for lunch. Marmot brought Mole n ordered piles of worms such that i-th pile contains ai worms. He labeled all these worms with consecutive integers: worms in first pile are labeled with numbers 1 to a1, worms in second pile are labeled with numbers a1 + 1 to a1 + a2 and so on. See the example for a better understanding. Mole can't eat all the worms (Marmot brought a lot) and, as we all know, Mole is blind, so Marmot tells him the labels of the best juicy worms. Marmot will only give Mole a worm if Mole says correctly in which pile this worm is contained. Poor Mole asks for your help. For all juicy worms said by Marmot, tell Mole the correct answers. Input The first line contains a single integer n (1 ≤ n ≤ 105), the number of piles. The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 103, a1 + a2 + ... + an ≤ 106), where ai is the number of worms in the i-th pile. The third line contains single integer m (1 ≤ m ≤ 105), the number of juicy worms said by Marmot. The fourth line contains m integers q1, q2, ..., qm (1 ≤ qi ≤ a1 + a2 + ... + an), the labels of the juicy worms. Output Print m lines to the standard output. The i-th line should contain an integer, representing the number of the pile where the worm labeled with the number qi is. Examples Input 5 2 7 3 4 9 3 1 25 11 Output 1 5 3 Note For the sample input: * The worms with labels from [1, 2] are in the first pile. * The worms with labels from [3, 9] are in the second pile. * The worms with labels from [10, 12] are in the third pile. * The worms with labels from [13, 16] are in the fourth pile. * The worms with labels from [17, 25] are in the fifth pile. Submitted Solution: ``` n = int(input()) sp = list(map(int, input().split())) input() for el in map(int, input().split()): L = 0 R = n while R - L > 1: M = (R + L) // 2 if sum(sp[:M]) > el: R = M else: L = M print(R) ```
instruction
0
5,404
9
10,808
No
output
1
5,404
9
10,809
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is lunch time for Mole. His friend, Marmot, prepared him a nice game for lunch. Marmot brought Mole n ordered piles of worms such that i-th pile contains ai worms. He labeled all these worms with consecutive integers: worms in first pile are labeled with numbers 1 to a1, worms in second pile are labeled with numbers a1 + 1 to a1 + a2 and so on. See the example for a better understanding. Mole can't eat all the worms (Marmot brought a lot) and, as we all know, Mole is blind, so Marmot tells him the labels of the best juicy worms. Marmot will only give Mole a worm if Mole says correctly in which pile this worm is contained. Poor Mole asks for your help. For all juicy worms said by Marmot, tell Mole the correct answers. Input The first line contains a single integer n (1 ≤ n ≤ 105), the number of piles. The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 103, a1 + a2 + ... + an ≤ 106), where ai is the number of worms in the i-th pile. The third line contains single integer m (1 ≤ m ≤ 105), the number of juicy worms said by Marmot. The fourth line contains m integers q1, q2, ..., qm (1 ≤ qi ≤ a1 + a2 + ... + an), the labels of the juicy worms. Output Print m lines to the standard output. The i-th line should contain an integer, representing the number of the pile where the worm labeled with the number qi is. Examples Input 5 2 7 3 4 9 3 1 25 11 Output 1 5 3 Note For the sample input: * The worms with labels from [1, 2] are in the first pile. * The worms with labels from [3, 9] are in the second pile. * The worms with labels from [10, 12] are in the third pile. * The worms with labels from [13, 16] are in the fourth pile. * The worms with labels from [17, 25] are in the fifth pile. Submitted Solution: ``` n = int(input()) a = list(map(int,input().split())) juicy = int(input()) num = list(map(int,input().split())) b = num.copy() num.sort() dictionary = {} temp = 0 j = 0 for i in range(len(a)): if temp+a[i] < num[j]: temp = temp+a[i] else : temp = temp+a[i] while temp >= num[j]: dictionary[num[j]] = i+1 if j < len(b)-1: j = j+1 elif j == len(b)-1: break for i in range(len(b)): print(dictionary[b[i]]) ```
instruction
0
5,405
9
10,810
No
output
1
5,405
9
10,811
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is lunch time for Mole. His friend, Marmot, prepared him a nice game for lunch. Marmot brought Mole n ordered piles of worms such that i-th pile contains ai worms. He labeled all these worms with consecutive integers: worms in first pile are labeled with numbers 1 to a1, worms in second pile are labeled with numbers a1 + 1 to a1 + a2 and so on. See the example for a better understanding. Mole can't eat all the worms (Marmot brought a lot) and, as we all know, Mole is blind, so Marmot tells him the labels of the best juicy worms. Marmot will only give Mole a worm if Mole says correctly in which pile this worm is contained. Poor Mole asks for your help. For all juicy worms said by Marmot, tell Mole the correct answers. Input The first line contains a single integer n (1 ≤ n ≤ 105), the number of piles. The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 103, a1 + a2 + ... + an ≤ 106), where ai is the number of worms in the i-th pile. The third line contains single integer m (1 ≤ m ≤ 105), the number of juicy worms said by Marmot. The fourth line contains m integers q1, q2, ..., qm (1 ≤ qi ≤ a1 + a2 + ... + an), the labels of the juicy worms. Output Print m lines to the standard output. The i-th line should contain an integer, representing the number of the pile where the worm labeled with the number qi is. Examples Input 5 2 7 3 4 9 3 1 25 11 Output 1 5 3 Note For the sample input: * The worms with labels from [1, 2] are in the first pile. * The worms with labels from [3, 9] are in the second pile. * The worms with labels from [10, 12] are in the third pile. * The worms with labels from [13, 16] are in the fourth pile. * The worms with labels from [17, 25] are in the fifth pile. Submitted Solution: ``` n = int(input()) an = [int(x) for x in input().split()] an.insert(0,0) m = int(input()) qn = [int(x) for x in input().split()] sum = [0 for i in range(len(an))] for i in range(1,len(sum)): sum[i] = an[i] + sum[i - 1] print(sum) for q in qn: for x in range(1, len(sum)): if sum[x - 1] < q < sum[x] or q == sum[x]: print(x) break ```
instruction
0
5,406
9
10,812
No
output
1
5,406
9
10,813
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner.
instruction
0
6,016
9
12,032
Tags: brute force, data structures, graphs, greedy, implementation, sortings, two pointers Correct Solution: ``` import sys from collections import defaultdict from io import BytesIO, IOBase class FastIO(IOBase): newlines = 0 def __init__(self, file): import os self.os = os self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None self.BUFSIZE = 4096 def read(self): while True: b = self.os.read(self._fd, max(self.os.fstat(self._fd).st_size, self.BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = self.os.read(self._fd, max(self.os.fstat(self._fd).st_size, self.BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: self.os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") def get_int(): return int(input()) def get_ints(): return list(map(int, input().split(' '))) def solve_e(): n = get_ints() costs = [get_ints() for course in range(4)] costs = [[(x, j) for j, x in enumerate(cost)] for cost in costs] m = [] mismatch_graph = [defaultdict(set) for _ in range(3)] for course_trans in range(3): m.append(get_int()) for mismatch in range(m[-1]): a, b = get_ints() mismatch_graph[course_trans][b - 1].add(a - 1) dp = [sorted(costs[0])] for j in range(3): tmp = [] for l in range(n[j + 1]): k = 0 while k < n[j]: if costs[j + 1][l][-1] in mismatch_graph[j] and dp[-1][k][-1] in mismatch_graph[j][costs[j + 1][l][-1]]: k += 1 else: break if k == n[j]: tmp.append((float('inf'), costs[j + 1][l][-1])) else: tmp.append((costs[j + 1][l][0] + dp[-1][k][0], costs[j + 1][l][-1])) dp.append(sorted(tmp)) if min(dp[-1])[0] == float('inf'): return - 1 else: return min(dp[-1])[0] print(solve_e()) ```
output
1
6,016
9
12,033
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner.
instruction
0
6,017
9
12,034
Tags: brute force, data structures, graphs, greedy, implementation, sortings, two pointers Correct Solution: ``` import sys input = sys.stdin.readline def read_int(): return int(input()) def read_ints(): return map(int, input().split(' ')) INF = int(1e9) n = list(read_ints()) a = [[] for _ in range(4)] a[0] = list(read_ints()) a[1] = list(read_ints()) a[2] = list(read_ints()) a[3] = list(read_ints()) dp = [(a[0][i], i) for i in range(n[0])] dp.sort() for k in range(3): m = read_int() banned = [set() for _ in range(n[k + 1])] for _ in range(m): u, v = read_ints() banned[v - 1].add(u - 1) f = [INF] * n[k + 1] for i in range(n[k + 1]): for j in range(n[k]): if dp[j][1] not in banned[i]: f[i] = dp[j][0] + a[k + 1][i] break dp = [(f[i], i) for i in range(n[k + 1])] dp.sort() print(dp[0][0] if dp[0][0] < INF else -1) ```
output
1
6,017
9
12,035
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner.
instruction
0
6,018
9
12,036
Tags: brute force, data structures, graphs, greedy, implementation, sortings, two pointers Correct Solution: ``` # by the authority of GOD author: manhar singh sachdev # import os,sys from io import BytesIO,IOBase from math import inf,isinf def some_random_function(): """due to the fast IO template, my code gets caught in plag check for no reason. That is why, I am writing random functions""" x = 10 x *= 100 i_dont_know = x why_am_i_writing_this = x*x print(i_dont_know) print(why_am_i_writing_this) def main(): n = list(map(int,input().split())) cost = [list(map(int,input().split())) for _ in range(4)] op = [[] for _ in range(3)] for i in range(3): for _ in range(int(input())): op[i].append(tuple(map(int,input().split()))) for i in range(2,-1,-1): band = [[] for _ in range(n[i+1]+1)] for j in op[i]: band[j[1]].append(j[0]) ke = sorted(range(n[i+1]),key=lambda xx:cost[i+1][xx]) z = min(cost[i+1]) cost1 = cost[i] for k in range(len(cost1)): cost1[k] += z addi = [0]*n[i] for ind,k in enumerate(ke): for z in band[k+1]: if addi[z-1] == ind and not isinf(cost1[z-1]): cost1[z-1] -= cost[i+1][k] cost1[z-1] += inf if ind==len(ke)-1 else cost[i+1][ke[ind+1]] addi[z-1] = ind+1 mini = min(cost[0]) if isinf(mini): print(-1) else: print(mini) # Fast IO Region BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self,file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd,max(os.fstat(self._fd).st_size,BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0,2),self.buffer.write(b),self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines==0: b = os.read(self._fd,max(os.fstat(self._fd).st_size,BUFSIZE)) self.newlines = b.count(b"\n")+(not b) ptr = self.buffer.tell() self.buffer.seek(0,2),self.buffer.write(b),self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd,self.buffer.getvalue()) self.buffer.truncate(0),self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self,file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s:self.buffer.write(s.encode("ascii")) self.read = lambda:self.buffer.read().decode("ascii") self.readline = lambda:self.buffer.readline().decode("ascii") sys.stdin,sys.stdout = IOWrapper(sys.stdin),IOWrapper(sys.stdout) input = lambda:sys.stdin.readline().rstrip("\r\n") def some_random_function1(): """due to the fast IO template, my code gets caught in plag check for no reason. That is why, I am writing random functions""" x = 10 x *= 100 i_dont_know = x why_am_i_writing_this = x*x print(i_dont_know) print(why_am_i_writing_this) def some_random_function2(): """due to the fast IO template, my code gets caught in plag check for no reason. That is why, I am writing random functions""" x = 10 x *= 100 i_dont_know = x why_am_i_writing_this = x*x print(i_dont_know) print(why_am_i_writing_this) def some_random_function3(): """due to the fast IO template, my code gets caught in plag check for no reason. That is why, I am writing random functions""" x = 10 x *= 100 i_dont_know = x why_am_i_writing_this = x*x print(i_dont_know) print(why_am_i_writing_this) def some_random_function4(): """due to the fast IO template, my code gets caught in plag check for no reason. That is why, I am writing random functions""" x = 10 x *= 100 i_dont_know = x why_am_i_writing_this = x*x print(i_dont_know) print(why_am_i_writing_this) if __name__=='__main__': main() ```
output
1
6,018
9
12,037
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner.
instruction
0
6,019
9
12,038
Tags: brute force, data structures, graphs, greedy, implementation, sortings, two pointers Correct Solution: ``` import sys from sys import stdin n = list(map(int,stdin.readline().split())) a = [list(map(int,stdin.readline().split())) for i in range(4)] v = [set([]) for i in range(3)] for i in range(3): m = int(stdin.readline()) for j in range(m): x,y = map(int,stdin.readline().split()) x -= 1 y -= 1 v[i].add( (x,y) ) dp = [[float("inf")] * len(a[i]) for i in range(4)] dp[0] = a[0] for i in range(1,4): lai = [ (dp[i-1][j],j) for j in range(len(a[i-1])) ] lai.sort() remR = [i for i in range(len(a[i]))] for cost,lv in lai: nexR = [] for rv in remR: if (lv,rv) not in v[i-1]: #print (dp[i][rv] , cost , a[i][rv]) dp[i][rv] = cost + a[i][rv] else: nexR.append(rv) remR = nexR if len(remR) == 0: break ans = (min(dp[-1])) if ans == float("inf"): print (-1) else: print (ans) ```
output
1
6,019
9
12,039
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner.
instruction
0
6,020
9
12,040
Tags: brute force, data structures, graphs, greedy, implementation, sortings, two pointers Correct Solution: ``` from sys import stdin, stdout n1, n2, n3, n4 = [int(x) for x in stdin.readline().split()] a = [int(x) for x in stdin.readline().split()] b = [int(x) for x in stdin.readline().split()] c = [int(x) for x in stdin.readline().split()] d = [int(x) for x in stdin.readline().split()] a = [[i, a[i]] for i in range(n1)] a.sort(key=lambda x:x[1]) m1 = int(stdin.readline()) bad_match = [set() for _ in range(n2)] for _ in range(m1): X, Y = [int(x) for x in stdin.readline().split()] bad_match[Y-1].add(X-1) B = [[i, 400000001] for i in range(n2)] for Y in range(n2): for candidate in a: if not (candidate[0] in bad_match[Y]): B[Y][1] = candidate[1] + b[Y] break B.sort(key=lambda x:x[1]) m2 = int(stdin.readline()) bad_match = [set() for _ in range(n3)] for _ in range(m2): X, Y = [int(x) for x in stdin.readline().split()] bad_match[Y-1].add(X-1) C = [[i, 400000001] for i in range(n3)] for Y in range(n3): for candidate in B: if not (candidate[0] in bad_match[Y]): C[Y][1] = candidate[1] + c[Y] break C.sort(key=lambda x:x[1]) m3 = int(stdin.readline()) bad_match = [set() for _ in range(n4)] for _ in range(m3): X, Y = [int(x) for x in stdin.readline().split()] bad_match[Y-1].add(X-1) D = [400000001]*n4 for Y in range(n4): for candidate in C: if not (candidate[0] in bad_match[Y]): D[Y] = candidate[1] + d[Y] break minimum = min(D) if minimum >= 400000001: stdout.write(str(-1)+'\n') else: stdout.write(str(minimum)+'\n') ```
output
1
6,020
9
12,041
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner.
instruction
0
6,021
9
12,042
Tags: brute force, data structures, graphs, greedy, implementation, sortings, two pointers Correct Solution: ``` import sys import bisect from collections import defaultdict from io import BytesIO, IOBase class FastIO(IOBase): newlines = 0 def __init__(self, file): import os self.os = os self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None self.BUFSIZE = 8192 def read(self): while True: b = self.os.read(self._fd, max(self.os.fstat(self._fd).st_size, self.BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = self.os.read(self._fd, max(self.os.fstat(self._fd).st_size, self.BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: self.os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") def get_int(): return int(input()) def get_ints(): return list(map(int, input().split(' '))) def get_int_grid(n): return [get_ints() for _ in range(n)] def get_str(): return input().split(' ') def yes_no(b): if b: return "YES" else: return "NO" def prefix_sums(a): p = [0] for x in a: p.append(p[-1] + x) return p def solve_a(): n = get_int() a = get_ints() return n - a.count(min(a)) def solve_b(): n, k = get_ints() if n % 2 == 0: return (k - 1) % n + 1 else: return ((k + (k - 1) // (n // 2)) - 1) % n + 1 def solve_c(): n = get_int() ans = [] if n % 2 == 1: for team in range(n): ans.extend([(-1) ** i for i in range(n - team - 1)]) else: for team in range(n): ans.extend([(-1) ** i - int(i == 0 and team % 2 == 0) for i in range(n - team - 1)]) return ans def solve_d(): c_vals = [5] i = 5 while c_vals[-1] < 10 ** 9 + 1: c_vals.append((i ** 2 - 1) // 2 + 1) i += 2 t = get_int() r = [] for _ in range(t): n = get_int() r.append(bisect.bisect_right(c_vals, n)) return r def solve_e(): n = get_ints() costs = [get_ints() for course in range(4)] costs = [[(x, j) for j, x in enumerate(cost)] for cost in costs] m = [] mismatch_graph = [defaultdict(set) for _ in range(3)] for course_trans in range(3): m.append(get_int()) for mismatch in range(m[-1]): a, b = get_ints() mismatch_graph[course_trans][b - 1].add(a - 1) dp = [sorted(costs[0])] for j in range(3): tmp = [] for l in range(n[j + 1]): k = 0 while k < n[j]: if costs[j + 1][l][-1] in mismatch_graph[j] and dp[-1][k][-1] in mismatch_graph[j][costs[j + 1][l][-1]]: k += 1 else: break if k == n[j]: tmp.append((float('inf'), costs[j + 1][l][-1])) else: tmp.append((costs[j + 1][l][0] + dp[-1][k][0], costs[j + 1][l][-1])) dp.append(sorted(tmp)) if min(dp[-1])[0] == float('inf'): return - 1 else: return min(dp[-1])[0] print(solve_e()) ```
output
1
6,021
9
12,043
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner.
instruction
0
6,022
9
12,044
Tags: brute force, data structures, graphs, greedy, implementation, sortings, two pointers Correct Solution: ``` from sys import stdin def read_int(): return int(stdin.readline()) def read_ints(): return map(int, stdin.readline().split(' ')) INF = int(1e9) n = list(read_ints()) a = [list(read_ints()) for _ in range(4)] dp = [(a[0][i], i) for i in range(n[0])] dp.sort() #print(a) for k in range(3): m = read_int() banned = [set() for _ in range(n[k + 1])] for _ in range(m): u, v = read_ints() banned[v - 1].add(u - 1) f = [INF] * n[k + 1] for i in range(n[k + 1]): for j in range(n[k]): if dp[j][1] not in banned[i]: f[i] = dp[j][0] + a[k + 1][i] break dp = [(f[i], i) for i in range(n[k + 1])] #print(dp) dp.sort() print(dp[0][0] if dp[0][0] < INF else -1) ```
output
1
6,022
9
12,045
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner.
instruction
0
6,023
9
12,046
Tags: brute force, data structures, graphs, greedy, implementation, sortings, two pointers Correct Solution: ``` #!/usr/bin/python3.6 import sys input = sys.stdin.readline def encode(x, y): return (x - 1 << 18) + y n1, n2, n3, n4 = map(int, input().split()) a = [(int(item), i) for i, item in enumerate(input().split())] b = [(int(item), i) for i, item in enumerate(input().split())] c = [(int(item), i) for i, item in enumerate(input().split())] d = [(int(item), i) for i, item in enumerate(input().split())] a.sort() b.sort() c.sort() d.sort() m1 = int(input()) m1s = set() for _ in range(m1): x, y = map(int, input().split()) x -= 1; y -= 1 m1s.add(encode(x, y)) m2 = int(input()) m2s = set() for _ in range(m2): x, y = map(int, input().split()) x -= 1; y -= 1 m2s.add(encode(x, y)) m3 = int(input()) m3s = set() for _ in range(m3): x, y = map(int, input().split()) x -= 1; y -= 1 m3s.add(encode(x, y)) ab = [] for bb, ib in b: for aa, ia in a: if encode(ia, ib) in m1s: continue ab.append((aa + bb, ib)) break if not ab: print(-1); exit() ab.sort() bc = [] for cc, ic in c: for aabb, ib in ab: if encode(ib, ic) in m2s: continue bc.append((aabb + cc, ic)) break if not bc: print(-1); exit() bc.sort() cd = [] ans = 10**10 for dd, idd in d: for bbcc, ic in bc: if encode(ic, idd) in m3s: continue if bbcc + dd < ans: ans = bbcc + dd break if ans == 10**10: print(-1) else: print(ans) ```
output
1
6,023
9
12,047
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner. Submitted Solution: ``` mod = 1000000007 eps = 10**-9 inf = 10**15 def main(): import sys input = sys.stdin.buffer.readline def F(L, R, bad): NL = len(L) NR = len(R) ret = [inf] * NR L_sorted = [(l, i) for i, l in enumerate(L)] L_sorted.sort(key=lambda x: x[0]) for i, r in enumerate(R): for l, k in L_sorted: if k * (NR+1) + i in bad: continue else: ret[i] = l + r break return ret N1, N2, N3, N4 = map(int, input().split()) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) D = list(map(int, input().split())) M1 = int(input()) if M1 == N1 * N2: print(-1) exit() bad1 = set() for _ in range(M1): x, y = map(int, input().split()) x -= 1 y -= 1 bad1.add(x * (N2+1) + y) M2 = int(input()) if M2 == N2 * N3: print(-1) exit() bad2 = set() for _ in range(M2): x, y = map(int, input().split()) x -= 1 y -= 1 bad2.add(x * (N3 + 1) + y) M3 = int(input()) if M3 == N3 * N4: print(-1) exit() bad3 = set() for _ in range(M3): x, y = map(int, input().split()) x -= 1 y -= 1 bad3.add(y * (N3 + 1) + x) L = F(A, B, bad1) R = F(D, C, bad3) ans = min(F(L, R, bad2)) if ans < inf: print(ans) else: print(-1) if __name__ == '__main__': main() ```
instruction
0
6,024
9
12,048
Yes
output
1
6,024
9
12,049
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner. Submitted Solution: ``` import sys input = sys.stdin.readline input() INF = 10 ** 18 prev = list(map(int, input().split())) As = [list(map(int, input().split())) for _ in range(3)] for nex in As: order = sorted(range(len(prev)), key=prev.__getitem__) nadj = [set() for _ in range(len(nex))] for _ in range(int(input())): x, y = map(lambda s: int(s)-1, input().split()) nadj[y].add(x) for i in range(len(nex)): j = 0 while j < len(order) and order[j] in nadj[i]: j += 1 nex[i] = min(INF, nex[i] + (prev[order[j]] if j < len(order) else INF)) prev = nex r = min(prev) print(-1 if r == INF else r) ```
instruction
0
6,025
9
12,050
Yes
output
1
6,025
9
12,051
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner. Submitted Solution: ``` import sys input = sys.stdin.readline from operator import itemgetter n1,n2,n3,n4=map(int,input().split()) A=list(map(int,input().split())) B=list(map(int,input().split())) C=list(map(int,input().split())) D=list(map(int,input().split())) AX=[(a,i) for i,a in enumerate(A)] AX.sort(key=itemgetter(0)) DPB=[1<<60]*n2 m2=int(input()) BAN=[set() for i in range(n2)] for i in range(m2): x,y=map(int,input().split()) BAN[y-1].add(x-1) for j in range(n2): for a,i in AX: if i in BAN[j]: continue else: DPB[j]=a+B[j] break DPC=[1<<60]*n3 m3=int(input()) BAN=[set() for i in range(n3)] for i in range(m3): x,y=map(int,input().split()) BAN[y-1].add(x-1) BX=[(a,i) for i,a in enumerate(DPB)] BX.sort(key=itemgetter(0)) for j in range(n3): for a,i in BX: if i in BAN[j]: continue else: DPC[j]=a+C[j] break DPD=[1<<60]*n4 m4=int(input()) BAN=[set() for i in range(n4)] for i in range(m4): x,y=map(int,input().split()) BAN[y-1].add(x-1) CX=[(a,i) for i,a in enumerate(DPC)] CX.sort(key=itemgetter(0)) for j in range(n4): for a,i in CX: if i in BAN[j]: continue else: DPD[j]=a+D[j] break ANS=min(DPD) if ANS>=1<<60: print(-1) else: print(ANS) ```
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Yes
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6,026
9
12,053
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner. Submitted Solution: ``` import sys import math import heapq import bisect from collections import Counter from collections import defaultdict from io import BytesIO, IOBase import string class FastIO(IOBase): newlines = 0 def __init__(self, file): import os self.os = os self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None self.BUFSIZE = 8192 def read(self): while True: b = self.os.read(self._fd, max(self.os.fstat(self._fd).st_size, self.BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = self.os.read(self._fd, max(self.os.fstat(self._fd).st_size, self.BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: self.os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") def get_int(): return int(input()) def get_ints(): return list(map(int, input().split(' '))) def get_int_grid(n): return [get_ints() for _ in range(n)] def get_str(): return input().split(' ') def yes_no(b): if b: return "YES" else: return "NO" def prefix_sums(a): p = [0] for x in a: p.append(p[-1] + x) return p def solve_a(): n = get_int() a = get_ints() return n - a.count(min(a)) def solve_b(): n, k = get_ints() if n % 2 == 0: return (k - 1) % n + 1 else: return ((k + (k - 1) // (n // 2)) - 1) % n + 1 def solve_c(): n = get_int() ans = [] if n % 2 == 1: for team in range(n): ans.extend([(-1) ** i for i in range(n - team - 1)]) else: for team in range(n): ans.extend([(-1) ** i - int(i == 0 and team % 2 == 0) for i in range(n - team - 1)]) return ans d_sols = [5] i = 5 while d_sols[-1] < 10 ** 9 + 1: d_sols.append((i ** 2 - 1) // 2 + 1) i += 2 def solve_d(): n = get_int() ans = bisect.bisect_right(d_sols, n) return ans def solve_e(): n = get_ints() costs = [get_ints() for course in range(4)] costs = [sorted([(x, j) for j, x in enumerate(cost)]) for cost in costs] m = [] mismatch_graph = [defaultdict(set) for _ in range(3)] for course_trans in range(3): m.append(get_int()) for mismatch in range(m[-1]): a, b = get_ints() mismatch_graph[course_trans][b - 1].add(a - 1) dp = [costs[0]] for j in range(3): tmp = [] for l in range(n[j + 1]): k = 0 while k < n[j]: if costs[j + 1][l][-1] in mismatch_graph[j] and dp[-1][k][-1] in mismatch_graph[j][costs[j + 1][l][-1]]: k += 1 else: break if k == n[j]: tmp.append((float('inf'), costs[j + 1][l][-1])) else: tmp.append((costs[j + 1][l][0] + dp[-1][k][0], costs[j + 1][l][-1])) tmp.sort() dp.append(tmp) if min(dp[-1])[0] == float('inf'): return - 1 else: return min(dp[-1])[0] print(solve_e()) ```
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Yes
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6,027
9
12,055
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner. Submitted Solution: ``` #i'm n..not ba.. b..baka > < import sys n = [int(i) for i in input().split()] a = [[], [], [], [], ] new_pos = [] for i in range(4): tmp_list = [int(x) for x in input().split()] new_pos.append([0, ] * n[i]) for j in range(n[i]): a[i].append([tmp_list[j], j]) def upd_pos(i): a[i].sort() for j in range(n[i]): new_pos[i][a[i][j][1]] = j m = [] conf = [[], [], [], ] conf_num = [[], [], [], ] rev_conf_num = [[-1] * n[0], [-1] * n[1], [-1] * n[2], ] def upd_conf(i): tmp_list = [] for j in range(m[i]): tmp_list.append([conf[i][j][0], new_pos[i + 1][conf[i][j][1]]]) conf[i] = [] tmp_list.sort() tmp_list.append([96969696, 0]) r = 0 for j in range(0, m[i] + 1): if(j != m[i] and rev_conf_num[i][tmp_list[j][0]] != -1): continue if (j == 0 or tmp_list[j][0] != tmp_list[j-1][0]): if tmp_list[j][1] != 0: continue if j > 0 and len(conf_num[i]): rev_conf_num[i][conf_num[i][-1]] = len(conf[i]) conf[i].append(r) r = 0 conf_num[i].append(tmp_list[j][0]) else: if(tmp_list[j][1] != tmp_list[j-1][1] + 1): rev_conf_num[i][tmp_list[j][0]] = len(conf[i]) else: r += 1 def upd_val(i): for j in range(n[i]): try: if(rev_conf_num[i][j] != -1 and conf[i][rev_conf_num[i][j]] == n[i + 1] - 1) : print("oh shit") except IndexError: print("oh shit\n"*10) if (rev_conf_num[i][j] == -1): val = a[i + 1][0][0] elif conf[i][rev_conf_num[i][j]] == n[i + 1] - 1: val = 999999999999 print("oh shit") print("oh shit") print("oh shit") print("oh shit") print("oh shit") print("oh shit") print("oh shit") print("oh shit") print("oh shit") print("oh shit") print("oh shit") print("oh shit") else: val = a[i + 1][conf[i][rev_conf_num[i][j]] + 1][0] a[i][j][0] += val for i in range(3): m.append(int(input())) for j in range(m[i]): conf[i].append([int(x) - 1 for x in input().split()]) for i in range(2,-1,-1): upd_pos(i + 1) upd_conf(i) upd_val(i) upd_pos(0) print(a[0][0][0] if a[0][0][0] < 999999999999 else -1) ```
instruction
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No
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner. Submitted Solution: ``` import sys import io, os input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline INF = 10**18 def main(): n1, n2, n3, n4 = map(int, input().split()) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) D = list(map(int, input().split())) A = [(e, i) for i, e in enumerate(A)] B = [(e, i) for i, e in enumerate(B)] C = [(e, i) for i, e in enumerate(C)] D = [(e, i) for i, e in enumerate(D)] A.sort() B.sort() C.sort() D.sort() m1 = int(input()) XY1 = [] for i in range(m1): x, y = map(int, input().split()) x, y = x-1, y-1 XY1.append((x,y)) m2 = int(input()) XY2 = [] for i in range(m2): x, y = map(int, input().split()) x, y = x-1, y-1 XY2.append((x,y)) m3 = int(input()) XY3 = [] for i in range(m3): x, y = map(int, input().split()) x, y = x-1, y-1 XY3.append((x,y)) N = n1+n2+n3+n4+2 g = [[] for i in range(N)] for a, i in A: g[N-2].append((a, i)) # 1-2 S1 = set(range(n1)) XY1 = set(XY1) for b, i in B: used = set() for j in S1: if (j, i) in XY1: continue g[j].append((b, i+n1)) used.add(j) for j in used: S1.remove(j) if not S1: break S2 = set(range(n2)) for a, i in A: used = set() for j in S2: if (i, j) in XY1: continue g[i].append((B[j][0], j+n1)) used.add(j) for j in used: S2.remove(j) # 2-3 S2 = set(range(n2)) XY2 = set(XY2) for c, i in C: used = set() for j in S2: if (j, i) in XY2: continue g[j+n1].append((c, i+n1+n2)) used.add(j) for j in used: S2.remove(j) S3 = set(range(n3)) for b, i in B: used = set() for j in S3: if (i, j) in XY2: continue g[i+n1].append((C[j][0], j+n1+n2)) used.add(j) for j in used: S3.remove(j) # 3-4 S3 = set(range(n3)) XY3 = set(XY3) for d, i in D: used = set() for j in S3: if (j, i) in XY3: continue g[j+n1+n2].append((d, i+n1+n2+n3)) used.add(j) for j in used: S3.remove(j) S4 = set(range(n4)) XY3 = set(XY3) for c, i in C: used = set() for j in S4: if (i, j) in XY3: continue g[i+n1+n2].append((D[j][0], j+n1+n2+n3)) used.add(j) for j in used: S4.remove(j) for i in range(n4): g[i+n1+n2+n3].append((0, N-1)) import heapq def dijkstra_heap(s, edge): n = len(edge) d = [INF] * n used = [True] * n #True: not used d[s] = 0 used[s] = False edgelist = [] for e in edge[s]: heapq.heappush(edgelist,e) while len(edgelist): minedge = heapq.heappop(edgelist) if not used[minedge[1]]: continue v = minedge[1] d[v] = minedge[0] used[v] = False for e in edge[v]: if used[e[1]]: heapq.heappush(edgelist,(e[0]+d[v],e[1])) return d d = dijkstra_heap(N-2, g) #print(d) if d[N-1] != INF: print(d[N-1]) else: print(-1) if __name__ == '__main__': main() ```
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12,058
No
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1
6,029
9
12,059
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner. Submitted Solution: ``` """ Author - Satwik Tiwari . 7th Feb , 2021 - Sunday """ #=============================================================================================== #importing some useful libraries. from __future__ import division, print_function from fractions import Fraction import sys import os from io import BytesIO, IOBase from functools import cmp_to_key # from itertools import * from heapq import * from math import gcd, factorial,floor,ceil,sqrt,log2 from copy import deepcopy from collections import deque from bisect import bisect_left as bl from bisect import bisect_right as br from bisect import bisect #============================================================================================== #fast I/O region BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") def print(*args, **kwargs): """Prints the values to a stream, or to sys.stdout by default.""" sep, file = kwargs.pop("sep", " "), kwargs.pop("file", sys.stdout) at_start = True for x in args: if not at_start: file.write(sep) file.write(str(x)) at_start = False file.write(kwargs.pop("end", "\n")) if kwargs.pop("flush", False): file.flush() if sys.version_info[0] < 3: sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout) else: sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) # inp = lambda: sys.stdin.readline().rstrip("\r\n") #=============================================================================================== ### START ITERATE RECURSION ### from types import GeneratorType def iterative(f, stack=[]): def wrapped_func(*args, **kwargs): if stack: return f(*args, **kwargs) to = f(*args, **kwargs) while True: if type(to) is GeneratorType: stack.append(to) to = next(to) continue stack.pop() if not stack: break to = stack[-1].send(to) return to return wrapped_func #### END ITERATE RECURSION #### #=============================================================================================== #some shortcuts def inp(): return sys.stdin.readline().rstrip("\r\n") #for fast input def out(var): sys.stdout.write(str(var)) #for fast output, always take string def lis(): return list(map(int, inp().split())) def stringlis(): return list(map(str, inp().split())) def sep(): return map(int, inp().split()) def strsep(): return map(str, inp().split()) # def graph(vertex): return [[] for i in range(0,vertex+1)] def testcase(t): for pp in range(t): solve(pp) def google(p): print('Case #'+str(p)+': ',end='') def lcm(a,b): return (a*b)//gcd(a,b) def power(x, y, p) : y%=(p-1) #not so sure about this. used when y>p-1. if p is prime. res = 1 # Initialize result x = x % p # Update x if it is more , than or equal to p if (x == 0) : return 0 while (y > 0) : if ((y & 1) == 1) : # If y is odd, multiply, x with result res = (res * x) % p y = y >> 1 # y = y/2 x = (x * x) % p return res def ncr(n,r): return factorial(n) // (factorial(r) * factorial(max(n - r, 1))) def isPrime(n) : if (n <= 1) : return False if (n <= 3) : return True if (n % 2 == 0 or n % 3 == 0) : return False i = 5 while(i * i <= n) : if (n % i == 0 or n % (i + 2) == 0) : return False i = i + 6 return True inf = pow(10,20) mod = 10**9+7 #=============================================================================================== # code here ;)) def bucketsort(order, seq): buckets = [0] * (max(seq) + 1) for x in seq: buckets[x] += 1 for i in range(len(buckets) - 1): buckets[i + 1] += buckets[i] new_order = [-1] * len(seq) for i in reversed(order): x = seq[i] idx = buckets[x] = buckets[x] - 1 new_order[idx] = i return new_order def ordersort(order, seq, reverse=False): bit = max(seq).bit_length() >> 1 mask = (1 << bit) - 1 order = bucketsort(order, [x & mask for x in seq]) order = bucketsort(order, [x >> bit for x in seq]) if reverse: order.reverse() return order def long_ordersort(order, seq): order = ordersort(order, [int(i & 0x7fffffff) for i in seq]) return ordersort(order, [int(i >> 31) for i in seq]) def multikey_ordersort(order, *seqs, sort=ordersort): for i in reversed(range(len(seqs))): order = sort(order, seqs[i]) return order def do(a,b,map): ans = [-1]*len(b) ind = [i for i in range(len(a))] order = multikey_ordersort(range(len(a)),a,ind) new = [] for i in order: new.append((a[i],ind[i])) for i in range(len(b)): for j in range(len(a)): if((new[j][1],i) in map): continue ans[i] = b[i] + new[j][0] break return ans def solve(case): n1,n2,n3,n4 = sep() a = lis() b = lis() c = lis() d = lis() map1 = {} for i in range(int(inp())): x,y = sep() x-=1;y-=1 map1[(x,y)] = 1 map2 = {} for i in range(int(inp())): x,y = sep() x-=1;y-=1 map2[(x,y)] = 1 map3 = {} for i in range(int(inp())): x,y = sep() x-=1;y-=1 map3[(x,y)] = 1 dp = a dp = do(dp,b,map1) if(min(dp) <= 0): print(-1) return dp = do(dp,c,map2) if(min(dp) <= 0): print(-1) return dp = do(dp,d,map3) ans = min(dp) if(ans <= 0): print(-1) else: print(ans) testcase(1) # testcase(int(inp())) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan wants to have a good dinner. A good dinner should consist of a first course, a second course, a drink, and a dessert. There are n_1 different types of first courses Ivan can buy (the i-th of them costs a_i coins), n_2 different types of second courses (the i-th of them costs b_i coins), n_3 different types of drinks (the i-th of them costs c_i coins) and n_4 different types of desserts (the i-th of them costs d_i coins). Some dishes don't go well with each other. There are m_1 pairs of first courses and second courses that don't go well with each other, m_2 pairs of second courses and drinks, and m_3 pairs of drinks and desserts that don't go well with each other. Ivan wants to buy exactly one first course, one second course, one drink, and one dessert so that they go well with each other, and the total cost of the dinner is the minimum possible. Help him to find the cheapest dinner option! Input The first line contains four integers n_1, n_2, n_3 and n_4 (1 ≤ n_i ≤ 150000) — the number of types of first courses, second courses, drinks and desserts, respectively. Then four lines follow. The first line contains n_1 integers a_1, a_2, ..., a_{n_1} (1 ≤ a_i ≤ 10^8), where a_i is the cost of the i-th type of first course. Three next lines denote the costs of second courses, drinks, and desserts in the same way (1 ≤ b_i, c_i, d_i ≤ 10^8). The next line contains one integer m_1 (0 ≤ m_1 ≤ 200000) — the number of pairs of first and second courses that don't go well with each other. Each of the next m_1 lines contains two integers x_i and y_i (1 ≤ x_i ≤ n_1; 1 ≤ y_i ≤ n_2) denoting that the first course number x_i doesn't go well with the second course number y_i. All these pairs are different. The block of pairs of second dishes and drinks that don't go well with each other is given in the same format. The same for pairs of drinks and desserts that don't go well with each other (0 ≤ m_2, m_3 ≤ 200000). Output If it's impossible to choose a first course, a second course, a drink, and a dessert so that they go well with each other, print -1. Otherwise, print one integer — the minimum total cost of the dinner. Examples Input 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 1 2 1 1 2 3 1 3 2 1 1 1 Output 26 Input 1 1 1 1 1 1 1 1 1 1 1 0 0 Output -1 Note The best option in the first example is to take the first course 2, the second course 1, the drink 2 and the dessert 1. In the second example, the only pair of the first course and the second course is bad, so it's impossible to have dinner. Submitted Solution: ``` import io import os from collections import defaultdict # https://raw.githubusercontent.com/cheran-senthil/PyRival/master/pyrival/data_structures/SegmentTree.py class SegmentTree: def __init__(self, data, default=0, func=max): """initialize the segment tree with data""" self._default = default self._func = func self._len = len(data) self._size = _size = 1 << (self._len - 1).bit_length() self.data = [default] * (2 * _size) self.data[_size : _size + self._len] = data for i in reversed(range(_size)): self.data[i] = func(self.data[i + i], self.data[i + i + 1]) def __delitem__(self, idx): self[idx] = self._default def __getitem__(self, idx): return self.data[idx + self._size] def __setitem__(self, idx, value): idx += self._size self.data[idx] = value idx >>= 1 while idx: self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1]) idx >>= 1 def __len__(self): return self._len def query(self, start, stop): """func of data[start, stop)""" start += self._size stop += self._size res_left = res_right = self._default while start < stop: if start & 1: res_left = self._func(res_left, self.data[start]) start += 1 if stop & 1: stop -= 1 res_right = self._func(self.data[stop], res_right) start >>= 1 stop >>= 1 return self._func(res_left, res_right) def __repr__(self): return "SegmentTree({0})".format(self.data) inf = float("inf") def solve(A, B, C, D, M1, M2, M3): def groupBadPrev(M): d = defaultdict(list) for x, y in M: x -= 1 y -= 1 d[y].append(x) return d dp = list(A) courses = [B, C, D] badPrevs = [ groupBadPrev(M1), groupBadPrev(M2), groupBadPrev(M3), ] for course, badPrev in zip(courses, badPrevs): prevDp = dp segTree = SegmentTree(prevDp, inf, min) dp = [inf] * len(course) bestA = segTree.query(0, len(segTree)) for b in range(len(course)): if b in badPrev: # Temporarily set unreachable prev to inf weight for a in badPrev[b]: segTree[a] = inf # Extend off lowest dp[b] = segTree.query(0, len(segTree)) + course[b] # Undo for a in badPrev[b]: segTree[a] = prevDp[a] else: dp[b] = bestA + course[b] ans = max(dp) if ans == inf: return -1 return ans if __name__ == "__main__": input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline TC = 1 for tc in range(1, TC + 1): N1, N2, N3, N4 = [int(x) for x in input().split()] A = [int(x) for x in input().split()] B = [int(x) for x in input().split()] C = [int(x) for x in input().split()] D = [int(x) for x in input().split()] (M,) = [int(x) for x in input().split()] M1 = [[int(x) for x in input().split()] for i in range(M)] (M,) = [int(x) for x in input().split()] M2 = [[int(x) for x in input().split()] for i in range(M)] (M,) = [int(x) for x in input().split()] M3 = [[int(x) for x in input().split()] for i in range(M)] ans = solve(A, B, C, D, M1, M2, M3) print(ans) ```
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Provide tags and a correct Python 3 solution for this coding contest problem. According to Berland laws it is only allowed to sell alcohol to people not younger than 18 years. Vasya's job is to monitor the law's enforcement. Tonight he entered a bar and saw n people sitting there. For every one of them Vasya happened to determine either the age or the drink the person is having. Vasya can check any person, i.e. learn his age and the drink he is having at the same time. What minimal number of people should Vasya check additionally to make sure that there are no clients under 18 having alcohol drinks? The list of all alcohol drinks in Berland is: ABSINTH, BEER, BRANDY, CHAMPAGNE, GIN, RUM, SAKE, TEQUILA, VODKA, WHISKEY, WINE Input The first line contains an integer n (1 ≤ n ≤ 100) which is the number of the bar's clients. Then follow n lines, each describing one visitor. A line either contains his age (an integer from 0 to 1000) or his drink (a string of capital Latin letters from 1 to 100 in length). It is guaranteed that the input data does not contain spaces and other unnecessary separators. Only the drinks from the list given above should be considered alcohol. Output Print a single number which is the number of people Vasya should check to guarantee the law enforcement. Examples Input 5 18 VODKA COKE 19 17 Output 2 Note In the sample test the second and fifth clients should be checked.
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Tags: implementation Correct Solution: ``` alcho = ["ABSINTH", "BEER", "BRANDY", "CHAMPAGNE", "GIN", "RUM", "SAKE", "TEQUILA", "VODKA", "WHISKEY", "WINE"] t = int(input()) c = 0 for _ in range(t): n = input() if n.isdigit(): if int(n) < 18: c += 1 else: if n in alcho: c += 1 print(c) ```
output
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6,207
9
12,415
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. According to Berland laws it is only allowed to sell alcohol to people not younger than 18 years. Vasya's job is to monitor the law's enforcement. Tonight he entered a bar and saw n people sitting there. For every one of them Vasya happened to determine either the age or the drink the person is having. Vasya can check any person, i.e. learn his age and the drink he is having at the same time. What minimal number of people should Vasya check additionally to make sure that there are no clients under 18 having alcohol drinks? The list of all alcohol drinks in Berland is: ABSINTH, BEER, BRANDY, CHAMPAGNE, GIN, RUM, SAKE, TEQUILA, VODKA, WHISKEY, WINE Input The first line contains an integer n (1 ≤ n ≤ 100) which is the number of the bar's clients. Then follow n lines, each describing one visitor. A line either contains his age (an integer from 0 to 1000) or his drink (a string of capital Latin letters from 1 to 100 in length). It is guaranteed that the input data does not contain spaces and other unnecessary separators. Only the drinks from the list given above should be considered alcohol. Output Print a single number which is the number of people Vasya should check to guarantee the law enforcement. Examples Input 5 18 VODKA COKE 19 17 Output 2 Note In the sample test the second and fifth clients should be checked. Submitted Solution: ``` alcohol=['ABSINTH','BEER','BRANDY', 'CHAMPAGNE', 'GIN', 'RUM', 'SAKE', 'TEQUILA', 'VODKA', 'WHISKEY', 'WINE'] d=0 for _ in range(int(input())): b=input() if b.isnumeric()==True: if int(b)<18: d+=1 else: if b in alcohol: d+=1 print(d) ```
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Yes
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. According to Berland laws it is only allowed to sell alcohol to people not younger than 18 years. Vasya's job is to monitor the law's enforcement. Tonight he entered a bar and saw n people sitting there. For every one of them Vasya happened to determine either the age or the drink the person is having. Vasya can check any person, i.e. learn his age and the drink he is having at the same time. What minimal number of people should Vasya check additionally to make sure that there are no clients under 18 having alcohol drinks? The list of all alcohol drinks in Berland is: ABSINTH, BEER, BRANDY, CHAMPAGNE, GIN, RUM, SAKE, TEQUILA, VODKA, WHISKEY, WINE Input The first line contains an integer n (1 ≤ n ≤ 100) which is the number of the bar's clients. Then follow n lines, each describing one visitor. A line either contains his age (an integer from 0 to 1000) or his drink (a string of capital Latin letters from 1 to 100 in length). It is guaranteed that the input data does not contain spaces and other unnecessary separators. Only the drinks from the list given above should be considered alcohol. Output Print a single number which is the number of people Vasya should check to guarantee the law enforcement. Examples Input 5 18 VODKA COKE 19 17 Output 2 Note In the sample test the second and fifth clients should be checked. Submitted Solution: ``` n = int(input()) alc = ["ABSINTH", "BEER", "BRANDY", "CHAMPAGNE", "GIN", "RUM", "SAKE", "TEQUILA", "VODKA", "WHISKEY", "WINE"] cnt = 0 for i in range(n): s = input() if s in alc: cnt+=1 if s.isnumeric() and int(s) < 18: cnt+=1 print(cnt) ```
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Yes
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. According to Berland laws it is only allowed to sell alcohol to people not younger than 18 years. Vasya's job is to monitor the law's enforcement. Tonight he entered a bar and saw n people sitting there. For every one of them Vasya happened to determine either the age or the drink the person is having. Vasya can check any person, i.e. learn his age and the drink he is having at the same time. What minimal number of people should Vasya check additionally to make sure that there are no clients under 18 having alcohol drinks? The list of all alcohol drinks in Berland is: ABSINTH, BEER, BRANDY, CHAMPAGNE, GIN, RUM, SAKE, TEQUILA, VODKA, WHISKEY, WINE Input The first line contains an integer n (1 ≤ n ≤ 100) which is the number of the bar's clients. Then follow n lines, each describing one visitor. A line either contains his age (an integer from 0 to 1000) or his drink (a string of capital Latin letters from 1 to 100 in length). It is guaranteed that the input data does not contain spaces and other unnecessary separators. Only the drinks from the list given above should be considered alcohol. Output Print a single number which is the number of people Vasya should check to guarantee the law enforcement. Examples Input 5 18 VODKA COKE 19 17 Output 2 Note In the sample test the second and fifth clients should be checked. Submitted Solution: ``` a=int(input()) d=[] count=0 b=0 for i in range(a): c=input() d.append(c) for i in range(a): try: if (int(d[i])<18): count=count+1 except: if d[i] in ['ABSINTH', 'BEER', 'BRANDY', 'CHAMPAGNE', 'GIN', 'RUM', 'SAKE', 'TEQUILA', 'VODKA', 'WHISKEY', 'WINE']: b=b+1 print(count+b) ```
instruction
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Yes
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. According to Berland laws it is only allowed to sell alcohol to people not younger than 18 years. Vasya's job is to monitor the law's enforcement. Tonight he entered a bar and saw n people sitting there. For every one of them Vasya happened to determine either the age or the drink the person is having. Vasya can check any person, i.e. learn his age and the drink he is having at the same time. What minimal number of people should Vasya check additionally to make sure that there are no clients under 18 having alcohol drinks? The list of all alcohol drinks in Berland is: ABSINTH, BEER, BRANDY, CHAMPAGNE, GIN, RUM, SAKE, TEQUILA, VODKA, WHISKEY, WINE Input The first line contains an integer n (1 ≤ n ≤ 100) which is the number of the bar's clients. Then follow n lines, each describing one visitor. A line either contains his age (an integer from 0 to 1000) or his drink (a string of capital Latin letters from 1 to 100 in length). It is guaranteed that the input data does not contain spaces and other unnecessary separators. Only the drinks from the list given above should be considered alcohol. Output Print a single number which is the number of people Vasya should check to guarantee the law enforcement. Examples Input 5 18 VODKA COKE 19 17 Output 2 Note In the sample test the second and fifth clients should be checked. Submitted Solution: ``` n=int(input()) bar=[ 'ABSINTH', 'BEER', 'BRANDY', 'CHAMPAGNE', 'GIN','RUM','SAKE','TEQUILA','VODKA', 'WHISKEY', 'WINE'] d=[] for i in range(n): x=input() d.append(x) z=0 for drink in d: if drink in bar: z+=1 if drink<'18': z+=1 print(z) ```
instruction
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No
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. According to Berland laws it is only allowed to sell alcohol to people not younger than 18 years. Vasya's job is to monitor the law's enforcement. Tonight he entered a bar and saw n people sitting there. For every one of them Vasya happened to determine either the age or the drink the person is having. Vasya can check any person, i.e. learn his age and the drink he is having at the same time. What minimal number of people should Vasya check additionally to make sure that there are no clients under 18 having alcohol drinks? The list of all alcohol drinks in Berland is: ABSINTH, BEER, BRANDY, CHAMPAGNE, GIN, RUM, SAKE, TEQUILA, VODKA, WHISKEY, WINE Input The first line contains an integer n (1 ≤ n ≤ 100) which is the number of the bar's clients. Then follow n lines, each describing one visitor. A line either contains his age (an integer from 0 to 1000) or his drink (a string of capital Latin letters from 1 to 100 in length). It is guaranteed that the input data does not contain spaces and other unnecessary separators. Only the drinks from the list given above should be considered alcohol. Output Print a single number which is the number of people Vasya should check to guarantee the law enforcement. Examples Input 5 18 VODKA COKE 19 17 Output 2 Note In the sample test the second and fifth clients should be checked. Submitted Solution: ``` x=['ABSINTH', 'BEER', 'BRANDY', ' CHAMPAGNE', 'GIN', 'RUM', 'SAKE', 'TEQUILA', 'VODKA', 'WHISKEY', 'WINE'] c=0 num='0123456789' for _ in range(int(input())): y=input() if y[0] in num: if int(y)<18: c+=1 elif y in x: c+=1 print(c) ```
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No
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. According to Berland laws it is only allowed to sell alcohol to people not younger than 18 years. Vasya's job is to monitor the law's enforcement. Tonight he entered a bar and saw n people sitting there. For every one of them Vasya happened to determine either the age or the drink the person is having. Vasya can check any person, i.e. learn his age and the drink he is having at the same time. What minimal number of people should Vasya check additionally to make sure that there are no clients under 18 having alcohol drinks? The list of all alcohol drinks in Berland is: ABSINTH, BEER, BRANDY, CHAMPAGNE, GIN, RUM, SAKE, TEQUILA, VODKA, WHISKEY, WINE Input The first line contains an integer n (1 ≤ n ≤ 100) which is the number of the bar's clients. Then follow n lines, each describing one visitor. A line either contains his age (an integer from 0 to 1000) or his drink (a string of capital Latin letters from 1 to 100 in length). It is guaranteed that the input data does not contain spaces and other unnecessary separators. Only the drinks from the list given above should be considered alcohol. Output Print a single number which is the number of people Vasya should check to guarantee the law enforcement. Examples Input 5 18 VODKA COKE 19 17 Output 2 Note In the sample test the second and fifth clients should be checked. Submitted Solution: ``` c=0 s=["ABSINTH", "BEER", "BRANDY", "CHAMPAGNE", "GIN", "RUM", "SAKE", "TEQUILA", "VODKA", "WHISKEY", "WINE"] n=int(input()) for i in range(n): v=input() if(v<"18"): c+=1 else: if(v in s): c+=1 print(c) ```
instruction
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No
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. According to Berland laws it is only allowed to sell alcohol to people not younger than 18 years. Vasya's job is to monitor the law's enforcement. Tonight he entered a bar and saw n people sitting there. For every one of them Vasya happened to determine either the age or the drink the person is having. Vasya can check any person, i.e. learn his age and the drink he is having at the same time. What minimal number of people should Vasya check additionally to make sure that there are no clients under 18 having alcohol drinks? The list of all alcohol drinks in Berland is: ABSINTH, BEER, BRANDY, CHAMPAGNE, GIN, RUM, SAKE, TEQUILA, VODKA, WHISKEY, WINE Input The first line contains an integer n (1 ≤ n ≤ 100) which is the number of the bar's clients. Then follow n lines, each describing one visitor. A line either contains his age (an integer from 0 to 1000) or his drink (a string of capital Latin letters from 1 to 100 in length). It is guaranteed that the input data does not contain spaces and other unnecessary separators. Only the drinks from the list given above should be considered alcohol. Output Print a single number which is the number of people Vasya should check to guarantee the law enforcement. Examples Input 5 18 VODKA COKE 19 17 Output 2 Note In the sample test the second and fifth clients should be checked. Submitted Solution: ``` forbid = "ABSINTH, BEER, BRANDY, CHAMPAGNE, GIN, RUM, SAKE, TEQUILA, VODKA, WHISKEY".split(", ") n = int(input()) a = [] for i in range(n): x = input() if x.isnumeric(): if int(x) < 18: a.append(x) if x.isalpha(): if x in forbid: a.append(x) print(len(a)) ```
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6,220
9
12,440
No
output
1
6,220
9
12,441
Provide a correct Python 3 solution for this coding contest problem. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145
instruction
0
6,397
9
12,794
"Correct Solution: ``` N, T = map(int, input().split()) AB = [list(map(int, input().split())) for _ in range(N)] dp = [[0] * (T+1) for _ in range(N+1)] AB.sort() ret = 0 for i in range(1,N+1): for j in range(1,T+1): if j < AB[i-1][0]: dp[i][j] = dp[i-1][j] else: dp[i][j] = max(dp[i-1][j-AB[i-1][0]] + AB[i-1][1], dp[i-1][j]) m = 0 for i in range(N): m = max(m, AB[i][1]+dp[i][T-1]) print(m) ```
output
1
6,397
9
12,795
Provide a correct Python 3 solution for this coding contest problem. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145
instruction
0
6,398
9
12,796
"Correct Solution: ``` N,M=map(int,input().split()) AB=[] for i in range(N): AB.append(list(map(int,input().split()))) AB.sort(key=lambda x: x[0]) max_=0 for i in AB: if max_<i[0]: max_=i[0] dp=[0]*(max_+M) max_=0 for i in AB: for j in range(M)[::-1]: dp[j+i[0]] = max(dp[j+i[0]],dp[j]+i[1]) print(max(dp)) ```
output
1
6,398
9
12,797
Provide a correct Python 3 solution for this coding contest problem. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145
instruction
0
6,399
9
12,798
"Correct Solution: ``` n, W = map(int, input().split()) ab = [tuple(map(int, input().split()))for _ in range(n)] ab.sort(reverse=True) dp = [0]*W for w, v in ab: for j in reversed(range(W)): if j-w < 0: break if dp[j] < dp[j-w]+v: dp[j] = dp[j-w]+v if dp[0] < v: dp[0] = v print(max(dp)) ```
output
1
6,399
9
12,799
Provide a correct Python 3 solution for this coding contest problem. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145
instruction
0
6,400
9
12,800
"Correct Solution: ``` N,T = map(int, input().split()) abl = [] for _ in range(N): a,b = map(int, input().split()) abl.append((a,b)) abl.sort() dp = [ [0]*6001 for _ in range(N+1) ] for i in range(N): a,b = abl[i] for t in range(6001): dp[i+1][t] = max(dp[i+1][t], dp[i][t]) if t < T: dp[i+1][t+a] = max(dp[i][t]+b, dp[i][t+a]) ans = max(dp[N]) print(ans) ```
output
1
6,400
9
12,801
Provide a correct Python 3 solution for this coding contest problem. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145
instruction
0
6,401
9
12,802
"Correct Solution: ``` n,t=map(int,input().split()) l=[list(map(int,input().split())) for i in range(n)] l.sort() dp=[[0]*(t) for i in range(n+1)] for i in range(1,n+1): for j in range(t): if j-l[i-1][0]>=0: dp[i][j]=max(dp[i-1][j-l[i-1][0]]+l[i-1][1],dp[i-1][j]) else: dp[i][j]=dp[i-1][j] ans=[] for i in range(n): ans.append(dp[i][-1]+l[i][1]) print(max(ans)) ```
output
1
6,401
9
12,803
Provide a correct Python 3 solution for this coding contest problem. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145
instruction
0
6,402
9
12,804
"Correct Solution: ``` N, T = map(int, input().split()) a_list = [] for _ in range(N): a, b = map(int, input().split()) a_list.append((a, b)) a_list.sort(key=lambda x: x[0]) dp = [[0 for _ in range(T + 3001)] for _ in range(N + 1)] for i in range(1, N + 1): a, b = a_list[i - 1] for j in range(T + 3001): dp[i][j] = dp[i - 1][j] for j in range(T): dp[i][j + a] = max(dp[i - 1][j + a], dp[i - 1][j] + b) print(max(dp[-1])) ```
output
1
6,402
9
12,805
Provide a correct Python 3 solution for this coding contest problem. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145
instruction
0
6,403
9
12,806
"Correct Solution: ``` n,t = map(int,input().split()) ab = sorted([list(map(int, input().split())) for i in range(n)]) dp = [[0 for i in range(t+1)]for j in range(n+1)] for i in range(n): ti,vi = ab[i] for j in range(t+1): if j + ti <= t: dp[i+1][j+ti] = max(dp[i+1][j+ti],dp[i][j]+vi) dp[i+1][j] = max(dp[i][j],dp[i+1][j]) ans = 0 for i, (ti, vi) in enumerate(ab): ans = max(ans, dp[i][t - 1] + vi) print(ans) ```
output
1
6,403
9
12,807
Provide a correct Python 3 solution for this coding contest problem. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145
instruction
0
6,404
9
12,808
"Correct Solution: ``` import sys input = sys.stdin.readline N,T=map(int,input().split()) D=[tuple(map(int,input().split())) for i in range(N)] D.sort() DP=[0]*(T+1) ANS=0 for i in range(N): a,b=D[i] for j in range(T,a-1,-1): DP[j]=max(DP[j-a]+b,DP[j]) for j in range(i+1,N): ANS=max(ANS,DP[T-1]+D[j][1]) print(ANS) ```
output
1
6,404
9
12,809
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145 Submitted Solution: ``` def main(): N, T = map(int, input().split()) ab = [tuple(map(int, input().split())) for i in range(N)] ab.sort(key=lambda x: x[0]) t = ab[-1][0] dp = [-1]*(T+t+1) dp[0] = 0 for a, b in ab: for i in range(T-1, -1, -1): if dp[i] < 0: continue if dp[i+a] < dp[i]+b: dp[i+a] = dp[i]+b ans = max(dp) print(ans) main() ```
instruction
0
6,405
9
12,810
Yes
output
1
6,405
9
12,811
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145 Submitted Solution: ``` n,t=map(int,input().split()) ab=[list(map(int,input().split()))for _ in range(n)] ab.sort() dp=[6007*[0]for _ in range(n)] ans=0 for i in range(n): a,b=ab[i] for j in range(6007): if i==0: if j>=a and j<t:dp[i][j]=b elif j>=a and j-a<t:dp[i][j]=max(dp[i-1][j-a]+b,dp[i-1][j]) else:dp[i][j]=dp[i-1][j] ans=max(ans,dp[i][j]) print(ans) ```
instruction
0
6,406
9
12,812
Yes
output
1
6,406
9
12,813
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145 Submitted Solution: ``` n,t=map(int,input().split()) l=[list(map(int,input().split())) for i in range(n)] l.sort() L=[] for i in range(n): L.append(l[i][1]) dp=[[0]*(t) for i in range(n+1)] for i in range(1,n+1): for j in range(t): if j-l[i-1][0]>=0: dp[i][j]=max(dp[i-1][j-l[i-1][0]]+l[i-1][1],dp[i-1][j]) else: dp[i][j]=dp[i-1][j] ans=[] for i in range(n): ans.append(dp[i][-1]+max(L[i:])) print(max(ans)) ```
instruction
0
6,407
9
12,814
Yes
output
1
6,407
9
12,815
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145 Submitted Solution: ``` def main(): e=enumerate (n,t),*g=[list(map(int,t.split()))for t in open(0)] d=[0] g.sort() dp=[] d=[0]*t for a,b in g: p=d[:] for i in range(a,t): v=d[i-a]+b if v>p[i]:p[i]=v dp+=p, d=p a=m=0 for(*_,v),(_,w)in zip(dp[-2::-1],g[::-1]): if w>m:m=w if v+m>a:a=v+m print(a) main() ```
instruction
0
6,408
9
12,816
Yes
output
1
6,408
9
12,817
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145 Submitted Solution: ``` from operator import itemgetter def cul(menu): good = 0 # 美味しさ time = 0 # 時間 for i in range(len(menu)): if time >= T-1: break else: good += menu[i][1] time += menu[i][0] return good N,T = map(int,input().split()) menu = list() for i in range(N): menu.append(list(map(int,input().split()))) # 時間が少ない順に計算 menu.sort() # 時間が少ない順にソート good_1 = cul(menu) # 満足度が多い順に計算 menu.sort(key=itemgetter(1),reverse=True) good_2 = cul(menu) print(max(good_1,good_2)) # 満足度と時間を考えてソート # menu_1 = dict() # for i in range(len(menu)): # if abs(menu[i][1]-menu[i][0]) not in menu_1: # menu_1[abs(menu[i][1]-menu[i][0])] = menu[i] # print(menu_1) ```
instruction
0
6,409
9
12,818
No
output
1
6,409
9
12,819
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145 Submitted Solution: ``` N, T = map(int, input().split()) AB = [list(map(int, input().split())) for _ in range(N)] dp = [[[0] * T for _ in range(N + 1)] for _ in range(2)] # (最後の注文を使ったか, i未満までみた, T) for i in range(1, N + 1): a, b = AB[i-1] for t in range(T): if t-a>=0: dp[0][i][t] = max(dp[0][i - 1][t], dp[0][i - 1][t-a] + b) else: dp[0][i][t] = dp[0][i - 1][t] dp[1][i][t] = max(dp[1][i - 1][t], dp[0][i - 1][t] + b) print(dp[1][N][T-1]) ```
instruction
0
6,410
9
12,820
No
output
1
6,410
9
12,821
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145 Submitted Solution: ``` N,T = map(int,input().split()) AB = [tuple(map(int,input().split())) for i in range(N)] dp = [[[0,0] for t in range(T)] for i in range(N+1)] for i,(a,b) in enumerate(AB): for t in range(T-1,-1,-1): dp[i+1][t][0] = max(dp[i+1][t][0], dp[i][t][0]) dp[i+1][t][1] = max(dp[i+1][t][1], dp[i][t][1]) if t+a < T: dp[i+1][t+a][0] = max(dp[i+1][t+a][0], dp[i][t][0] + b) dp[i+1][t+a][1] = max(dp[i+1][t+a][1], dp[i][t][1] + b) dp[i+1][t][1] = max(dp[i+1][t][1], dp[i][t][0] + b) print(dp[-1][-1][-1]) ```
instruction
0
6,411
9
12,822
No
output
1
6,411
9
12,823
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is at an all-you-can-eat restaurant. The restaurant offers N kinds of dishes. It takes A_i minutes to eat the i-th dish, whose deliciousness is B_i. The restaurant has the following rules: * You can only order one dish at a time. The dish ordered will be immediately served and ready to eat. * You cannot order the same kind of dish more than once. * Until you finish eating the dish already served, you cannot order a new dish. * After T-0.5 minutes from the first order, you can no longer place a new order, but you can continue eating the dish already served. Let Takahashi's happiness be the sum of the deliciousness of the dishes he eats in this restaurant. What is the maximum possible happiness achieved by making optimal choices? Constraints * 2 \leq N \leq 3000 * 1 \leq T \leq 3000 * 1 \leq A_i \leq 3000 * 1 \leq B_i \leq 3000 * All values in input are integers. Input Input is given from Standard Input in the following format: N T A_1 B_1 : A_N B_N Output Print the maximum possible happiness Takahashi can achieve. Examples Input 2 60 10 10 100 100 Output 110 Input 3 60 10 10 10 20 10 30 Output 60 Input 3 60 30 10 30 20 30 30 Output 50 Input 10 100 15 23 20 18 13 17 24 12 18 29 19 27 23 21 18 20 27 15 22 25 Output 145 Submitted Solution: ``` N, T = map(int, input().split()) data = [] for i in range(N): a, b = map(int, input().split()) data.append((a,b)) data.sort() #print(data) dp = [0] * T ans = 0 for a, b in data: ans = max(ans, dp[-1]+b) if a < T: eatable = dp[:T-a] j = 0 for i in range(a, T, 1): if dp[i] < eatable[j] + b: dp[i] = eatable[j] + b j += 1 print(ans) ```
instruction
0
6,412
9
12,824
No
output
1
6,412
9
12,825
Provide a correct Python 3 solution for this coding contest problem. problem There is one bar-shaped candy with a length of N mm (where N is an even number). Two JOI officials decided to cut this candy into multiple pieces and divide them into a total of N / 2 mm. did. For unknown reasons, this candy has different ease of cutting depending on the location. The two examined the candy every millimeter from the left and figured out how many seconds it would take to cut at each location. .2 Create a program that finds the minimum number of seconds it takes for a person to cut a candy. output The output consists of one line containing the minimum number of seconds it takes for two people to cut the candy. Input / output example Input example 1 6 1 8 12 6 2 Output example 1 7 In this case, cutting 1 and 4 millimeters from the left edge minimizes the number of seconds. The number of seconds is 1 and 6 seconds, for a total of 7 seconds. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. input The length of the bar N (2 ≤ N ≤ 10000, where N is an even number) is written on the first line of the input. On the first line of the input i + (1 ≤ i ≤ N − 1), An integer ti (1 ≤ ti ≤ 10000) is written to represent the number of seconds it takes to cut the i-millimeter location from the left edge. Note that there are N − 1 locations that can be cut. Of the scoring data, the minimum value can be achieved by cutting at most 2 points for 5% of the points, and the minimum value can be achieved by cutting at most 3 points for 10%. For 20% of the points, N ≤ 20. Example Input 6 1 8 12 6 2 Output 7
instruction
0
6,521
9
13,042
"Correct Solution: ``` # AOJ 0550: Dividing Snacks # Python3 2018.7.1 bal4u import sys from sys import stdin input = stdin.readline INF = 0x7fffffff n = int(input()) dp = [INF]*(n+1) dp[0] = 0 for i in range(1, n): t = int(input()) for j in range(1+(i>>1)): if dp[j] > dp[i-j] + t: dp[j] = dp[i-j] + t; if dp[i-j] > dp[j] + t: dp[i-j] = dp[j] + t print(dp[n>>1]) ```
output
1
6,521
9
13,043
Provide a correct Python 3 solution for this coding contest problem. problem There is one bar-shaped candy with a length of N mm (where N is an even number). Two JOI officials decided to cut this candy into multiple pieces and divide them into a total of N / 2 mm. did. For unknown reasons, this candy has different ease of cutting depending on the location. The two examined the candy every millimeter from the left and figured out how many seconds it would take to cut at each location. .2 Create a program that finds the minimum number of seconds it takes for a person to cut a candy. output The output consists of one line containing the minimum number of seconds it takes for two people to cut the candy. Input / output example Input example 1 6 1 8 12 6 2 Output example 1 7 In this case, cutting 1 and 4 millimeters from the left edge minimizes the number of seconds. The number of seconds is 1 and 6 seconds, for a total of 7 seconds. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. input The length of the bar N (2 ≤ N ≤ 10000, where N is an even number) is written on the first line of the input. On the first line of the input i + (1 ≤ i ≤ N − 1), An integer ti (1 ≤ ti ≤ 10000) is written to represent the number of seconds it takes to cut the i-millimeter location from the left edge. Note that there are N − 1 locations that can be cut. Of the scoring data, the minimum value can be achieved by cutting at most 2 points for 5% of the points, and the minimum value can be achieved by cutting at most 3 points for 10%. For 20% of the points, N ≤ 20. Example Input 6 1 8 12 6 2 Output 7
instruction
0
6,522
9
13,044
"Correct Solution: ``` n = int(input()) dp = [float('inf')]*(n+1) dp[0] = 0 cost = [int(input()) for _ in range(n-1)] for i in range(1,n): for j in range(i): if dp[i-j]+cost[i-1] < dp[j]: dp[j] = dp[i-j]+cost[i-1]# = min(dp[j],dp[i-j]+cost[i-1]) if dp[j]+cost[i-1] < dp[i-j]: dp[i-j] = dp[j]+cost[i-1]# = min(dp[i-j],dp[j]+cost[i-1]) #print(dp) print(dp[n//2]) ```
output
1
6,522
9
13,045
Provide a correct Python 3 solution for this coding contest problem. problem There is one bar-shaped candy with a length of N mm (where N is an even number). Two JOI officials decided to cut this candy into multiple pieces and divide them into a total of N / 2 mm. did. For unknown reasons, this candy has different ease of cutting depending on the location. The two examined the candy every millimeter from the left and figured out how many seconds it would take to cut at each location. .2 Create a program that finds the minimum number of seconds it takes for a person to cut a candy. output The output consists of one line containing the minimum number of seconds it takes for two people to cut the candy. Input / output example Input example 1 6 1 8 12 6 2 Output example 1 7 In this case, cutting 1 and 4 millimeters from the left edge minimizes the number of seconds. The number of seconds is 1 and 6 seconds, for a total of 7 seconds. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. input The length of the bar N (2 ≤ N ≤ 10000, where N is an even number) is written on the first line of the input. On the first line of the input i + (1 ≤ i ≤ N − 1), An integer ti (1 ≤ ti ≤ 10000) is written to represent the number of seconds it takes to cut the i-millimeter location from the left edge. Note that there are N − 1 locations that can be cut. Of the scoring data, the minimum value can be achieved by cutting at most 2 points for 5% of the points, and the minimum value can be achieved by cutting at most 3 points for 10%. For 20% of the points, N ≤ 20. Example Input 6 1 8 12 6 2 Output 7
instruction
0
6,523
9
13,046
"Correct Solution: ``` #お菓子 n = int(input()) times = [int(input()) for _ in range(n-1)] dp = [10**20 for i in range(n+1)] dp[0] = 0 for i in range(1,n): for j in range(i): if dp[j] > dp[i-j] + times[i-1]: dp[j] = dp[i-j] + times[i-1] if dp[i-j] > dp[j] + times[i-1]: dp[i-j] = dp[j] + times[i-1] print(dp[n//2]) ```
output
1
6,523
9
13,047
Provide a correct Python 3 solution for this coding contest problem. problem There is one bar-shaped candy with a length of N mm (where N is an even number). Two JOI officials decided to cut this candy into multiple pieces and divide them into a total of N / 2 mm. did. For unknown reasons, this candy has different ease of cutting depending on the location. The two examined the candy every millimeter from the left and figured out how many seconds it would take to cut at each location. .2 Create a program that finds the minimum number of seconds it takes for a person to cut a candy. output The output consists of one line containing the minimum number of seconds it takes for two people to cut the candy. Input / output example Input example 1 6 1 8 12 6 2 Output example 1 7 In this case, cutting 1 and 4 millimeters from the left edge minimizes the number of seconds. The number of seconds is 1 and 6 seconds, for a total of 7 seconds. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. input The length of the bar N (2 ≤ N ≤ 10000, where N is an even number) is written on the first line of the input. On the first line of the input i + (1 ≤ i ≤ N − 1), An integer ti (1 ≤ ti ≤ 10000) is written to represent the number of seconds it takes to cut the i-millimeter location from the left edge. Note that there are N − 1 locations that can be cut. Of the scoring data, the minimum value can be achieved by cutting at most 2 points for 5% of the points, and the minimum value can be achieved by cutting at most 3 points for 10%. For 20% of the points, N ≤ 20. Example Input 6 1 8 12 6 2 Output 7
instruction
0
6,524
9
13,048
"Correct Solution: ``` dp=[0]+[1<<20]*10000 n=int(input()) for i in range(1,n): a=int(input()) for j in range(i//2+1): if dp[j]>dp[i-j]+a:dp[j]=dp[i-j]+a if dp[i-j]>dp[j]+a:dp[i-j]=dp[j]+a print(dp[n//2]) ```
output
1
6,524
9
13,049
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem There is one bar-shaped candy with a length of N mm (where N is an even number). Two JOI officials decided to cut this candy into multiple pieces and divide them into a total of N / 2 mm. did. For unknown reasons, this candy has different ease of cutting depending on the location. The two examined the candy every millimeter from the left and figured out how many seconds it would take to cut at each location. .2 Create a program that finds the minimum number of seconds it takes for a person to cut a candy. output The output consists of one line containing the minimum number of seconds it takes for two people to cut the candy. Input / output example Input example 1 6 1 8 12 6 2 Output example 1 7 In this case, cutting 1 and 4 millimeters from the left edge minimizes the number of seconds. The number of seconds is 1 and 6 seconds, for a total of 7 seconds. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. input The length of the bar N (2 ≤ N ≤ 10000, where N is an even number) is written on the first line of the input. On the first line of the input i + (1 ≤ i ≤ N − 1), An integer ti (1 ≤ ti ≤ 10000) is written to represent the number of seconds it takes to cut the i-millimeter location from the left edge. Note that there are N − 1 locations that can be cut. Of the scoring data, the minimum value can be achieved by cutting at most 2 points for 5% of the points, and the minimum value can be achieved by cutting at most 3 points for 10%. For 20% of the points, N ≤ 20. Example Input 6 1 8 12 6 2 Output 7 Submitted Solution: ``` INF = 100 n = int(input()) l = [0 if i == 0 else int(input()) for i in range(n)] #dp = [[[INF] * 2 for i in range(n // 2 + 1)] for j in range(n + 1)] # #dp[1][1][0] = 0 #dp[1][0][1] = 0 # #for i in range(2,n + 1): # for j in range(1,n // 2 + 1): # dp[i][j][0] = min(dp[i - 1][j - 1][0], dp[i - 1][j - 1][1] + l[i - 1]) # dp[i][j][1] = min(dp[i - 1][j][1], dp[i - 1][j][0] + l[i - 1]) #print(min(dp[n][n//2][0], dp[n][n//2][1])) # dp = [[INF] * 2 for i in range(n // 2 + 1)] dp[1][0] = 0 dp[0][1] = 0 for i in range(2, n + 1): for j in range(n // 2, -1, -1): a = min(dp[j - 1][0], dp[j - 1][1] + l[i - 1]) b = min(dp[j][1], dp[j][0] + l[i - 1]) dp[j][0] = a dp[j][1] = b print(max(dp[n//2][0], dp[n//2][1])) ```
instruction
0
6,525
9
13,050
No
output
1
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9
13,051
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem There is one bar-shaped candy with a length of N mm (where N is an even number). Two JOI officials decided to cut this candy into multiple pieces and divide them into a total of N / 2 mm. did. For unknown reasons, this candy has different ease of cutting depending on the location. The two examined the candy every millimeter from the left and figured out how many seconds it would take to cut at each location. .2 Create a program that finds the minimum number of seconds it takes for a person to cut a candy. output The output consists of one line containing the minimum number of seconds it takes for two people to cut the candy. Input / output example Input example 1 6 1 8 12 6 2 Output example 1 7 In this case, cutting 1 and 4 millimeters from the left edge minimizes the number of seconds. The number of seconds is 1 and 6 seconds, for a total of 7 seconds. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. input The length of the bar N (2 ≤ N ≤ 10000, where N is an even number) is written on the first line of the input. On the first line of the input i + (1 ≤ i ≤ N − 1), An integer ti (1 ≤ ti ≤ 10000) is written to represent the number of seconds it takes to cut the i-millimeter location from the left edge. Note that there are N − 1 locations that can be cut. Of the scoring data, the minimum value can be achieved by cutting at most 2 points for 5% of the points, and the minimum value can be achieved by cutting at most 3 points for 10%. For 20% of the points, N ≤ 20. Example Input 6 1 8 12 6 2 Output 7 Submitted Solution: ``` import sys dp=[0]+[1<<20]*10000 n=int(input()) a=list(map(int,sys.stdin.readlines())) for i in range(1,n): for j in range(i//2+1): dp[j],dp[i-j]=map(min,[(dp[j],dp[i-j]+a[i-1]),(dp[i-j],dp[j]+a[i-1])]) print(dp[n//2]) ```
instruction
0
6,526
9
13,052
No
output
1
6,526
9
13,053
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem There is one bar-shaped candy with a length of N mm (where N is an even number). Two JOI officials decided to cut this candy into multiple pieces and divide them into a total of N / 2 mm. did. For unknown reasons, this candy has different ease of cutting depending on the location. The two examined the candy every millimeter from the left and figured out how many seconds it would take to cut at each location. .2 Create a program that finds the minimum number of seconds it takes for a person to cut a candy. output The output consists of one line containing the minimum number of seconds it takes for two people to cut the candy. Input / output example Input example 1 6 1 8 12 6 2 Output example 1 7 In this case, cutting 1 and 4 millimeters from the left edge minimizes the number of seconds. The number of seconds is 1 and 6 seconds, for a total of 7 seconds. <image> The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring. input The length of the bar N (2 ≤ N ≤ 10000, where N is an even number) is written on the first line of the input. On the first line of the input i + (1 ≤ i ≤ N − 1), An integer ti (1 ≤ ti ≤ 10000) is written to represent the number of seconds it takes to cut the i-millimeter location from the left edge. Note that there are N − 1 locations that can be cut. Of the scoring data, the minimum value can be achieved by cutting at most 2 points for 5% of the points, and the minimum value can be achieved by cutting at most 3 points for 10%. For 20% of the points, N ≤ 20. Example Input 6 1 8 12 6 2 Output 7 Submitted Solution: ``` INF = 100000000 n = int(input()) l = [0 if i == 0 else int(input()) for i in range(n)] dp = [[[INF] * 2 for i in range(n // 2 + 1)] for j in range(n + 1)] dp[1][1][0] = 0 dp[1][0][1] = 0 for i in range(2,n + 1): for j in range(1,n // 2 + 1): dp[i][j][0] = min(dp[i - 1][j - 1][0], dp[i - 1][j - 1][1] + l[i - 1]) dp[i][j][1] = min(dp[i - 1][j][1], dp[i - 1][j][0] + l[i - 1]) print(min(dp[n][n//2][0], dp[n][n//2][1])) ```
instruction
0
6,527
9
13,054
No
output
1
6,527
9
13,055