message
stringlengths
2
39.6k
message_type
stringclasses
2 values
message_id
int64
0
1
conversation_id
int64
450
109k
cluster
float64
2
2
__index_level_0__
int64
900
217k
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Princess Twilight went to Celestia and Luna's old castle to research the chest from the Elements of Harmony. <image> A sequence of positive integers bi is harmony if and only if for every two elements of the sequence their greatest common divisor equals 1. According to an ancient book, the key of the chest is a harmony sequence bi which minimizes the following expression: <image> You are given sequence ai, help Princess Twilight to find the key. Input The first line contains an integer n (1 ≤ n ≤ 100) — the number of elements of the sequences a and b. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 30). Output Output the key — sequence bi that minimizes the sum described above. If there are multiple optimal sequences, you can output any of them. Examples Input 5 1 1 1 1 1 Output 1 1 1 1 1 Input 5 1 6 4 2 8 Output 1 5 3 1 8 Submitted Solution: ``` import sys readline = sys.stdin.readline def gcd(a, b): while b: a, b = b, a%b return a limit = 45 C = set([tuple()]) for i in range(2, limit+1): for k in C.copy(): if all(gcd(ki, i) == 1 for ki in k): kn = tuple(list(k) + [i]) C.add(kn) INF = 10**9+7 N = int(readline()) A = list(map(int, readline().split())) Ao = A[:] A.sort() ans = INF Ans = None for ci in C: tc = [1]*(N-len(ci)) + list(ci) res = 0 for a, t in zip(A, tc): res += abs(a-t) if ans > res: ans = res Ans = tc buc = [[] for _ in range(limit+1)] for a, an in zip(A, Ans): buc[a].append(an) AA = [] for ao in Ao: AA.append(buc[ao].pop()) #print(ans) print(*AA) ```
instruction
0
107,337
2
214,674
No
output
1
107,337
2
214,675
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Princess Twilight went to Celestia and Luna's old castle to research the chest from the Elements of Harmony. <image> A sequence of positive integers bi is harmony if and only if for every two elements of the sequence their greatest common divisor equals 1. According to an ancient book, the key of the chest is a harmony sequence bi which minimizes the following expression: <image> You are given sequence ai, help Princess Twilight to find the key. Input The first line contains an integer n (1 ≤ n ≤ 100) — the number of elements of the sequences a and b. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 30). Output Output the key — sequence bi that minimizes the sum described above. If there are multiple optimal sequences, you can output any of them. Examples Input 5 1 1 1 1 1 Output 1 1 1 1 1 Input 5 1 6 4 2 8 Output 1 5 3 1 8 Submitted Solution: ``` import sys readline = sys.stdin.readline def gcd(a, b): while b: a, b = b, a%b return a limit = 30 C = set([tuple()]) for i in range(2, limit+1): for k in C.copy(): if all(gcd(ki, i) == 1 for ki in k): kn = tuple(list(k) + [i]) C.add(kn) INF = 10**9+7 N = int(readline()) A = list(map(int, readline().split())) Ao = A[:] A.sort() ans = INF Ans = None for ci in C: tc = [1]*(N-len(ci)) + list(ci) res = 0 for a, t in zip(A, tc): res += abs(a-t) if ans > res: ans = res Ans = tc buc = [[] for _ in range(limit+1)] for a, an in zip(A, Ans): buc[a].append(an) AA = [] for ao in Ao: AA.append(buc[ao].pop()) #print(ans) print(*AA) ```
instruction
0
107,338
2
214,676
No
output
1
107,338
2
214,677
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Princess Twilight went to Celestia and Luna's old castle to research the chest from the Elements of Harmony. <image> A sequence of positive integers bi is harmony if and only if for every two elements of the sequence their greatest common divisor equals 1. According to an ancient book, the key of the chest is a harmony sequence bi which minimizes the following expression: <image> You are given sequence ai, help Princess Twilight to find the key. Input The first line contains an integer n (1 ≤ n ≤ 100) — the number of elements of the sequences a and b. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 30). Output Output the key — sequence bi that minimizes the sum described above. If there are multiple optimal sequences, you can output any of them. Examples Input 5 1 1 1 1 1 Output 1 1 1 1 1 Input 5 1 6 4 2 8 Output 1 5 3 1 8 Submitted Solution: ``` import sys readline = sys.stdin.readline def gcd(a, b): while b: a, b = b, a%b return a def prsh(N): prime = [2] for L in range(3,N): for p in prime: if not L % p: break if p > L**(1/2): prime.append(L) break return prime limit = 59 prime = prsh(limit+1) C = set([tuple()]) Cp = [] for i in range(2, limit+1): if i >= 30 and i in prime: Cp.append(i) continue for k in C.copy(): if all(gcd(ki, i) == 1 for ki in k): kn = tuple(list(k) + [i]) C.add(kn) INF = 10**9+7 N = int(readline()) A = list(map(int, readline().split())) Ao = A[:] A.sort() ans = INF Ans = None for ci in C: tc = [1]*(N-len(ci)) + list(ci) + Cp for j in range(8): res = 0 for a, t in zip(A, tc[j:]): res += abs(a-t) if ans > res: ans = res Ans = tc buc = [[] for _ in range(limit+1)] for a, an in zip(A, Ans): buc[a].append(an) AA = [] for ao in Ao: AA.append(buc[ao].pop()) #print(ans) print(*AA) ```
instruction
0
107,339
2
214,678
No
output
1
107,339
2
214,679
Provide tags and a correct Python 3 solution for this coding contest problem. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3].
instruction
0
107,531
2
215,062
Tags: math Correct Solution: ``` from sys import stdin, stdout from math import factorial n = int(stdin.readline()) values = list(map(int, stdin.readline().split())) ans = 0 cnt = 1 for i in range(1, n): if values[i] != values[i - 1]: ans += cnt * (cnt + 1) // 2 cnt = 1 else: cnt += 1 ans += cnt * (cnt + 1) // 2 stdout.write(str(ans)) ```
output
1
107,531
2
215,063
Provide tags and a correct Python 3 solution for this coding contest problem. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3].
instruction
0
107,532
2
215,064
Tags: math Correct Solution: ``` import math def choose(n, k): return n - k + 1 class CodeforcesTask84BSolution: def __init__(self): self.result = '' self.n = 0 self.array = [] def read_input(self): self.n = int(input()) self.array = [int(x) for x in input().split(" ")] def process_task(self): magic_arrays = 0 cr = 10 ** 10 cn = 0 for a in self.array: if a == cr: cn += 1 else: if cn: for x in range(1, cn + 1): magic_arrays += choose(cn, x) cr = a cn = 1 for x in range(1, cn + 1): magic_arrays += choose(cn, x) self.result = str(int(magic_arrays)) def get_result(self): return self.result if __name__ == "__main__": Solution = CodeforcesTask84BSolution() Solution.read_input() Solution.process_task() print(Solution.get_result()) ```
output
1
107,532
2
215,065
Provide tags and a correct Python 3 solution for this coding contest problem. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3].
instruction
0
107,533
2
215,066
Tags: math Correct Solution: ``` #------------------------template--------------------------# import os import sys from math import * from collections import * from fractions import * from bisect import * from heapq import* from io import BytesIO, IOBase def vsInput(): sys.stdin = open('input.txt', 'r') sys.stdout = open('output.txt', 'w') 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") ALPHA='abcdefghijklmnopqrstuvwxyz' MOD=1000000007 def value():return tuple(map(int,input().split())) def array():return [int(i) for i in input().split()] def Int():return int(input()) def Str():return input() def arrayS():return [i for i in input().split()] #-------------------------code---------------------------# # vsInput() n=Int() a=array() i=0 ans=0 while(i<n): l=1 i+=1 while(i<n and a[i]==a[i-1]): l+=1 i+=1 ans+=l*(l+1)//2 print(ans) ```
output
1
107,533
2
215,067
Provide tags and a correct Python 3 solution for this coding contest problem. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3].
instruction
0
107,534
2
215,068
Tags: math Correct Solution: ``` input() c=a=r=0 for i in input().split():c=(a==i)*c+1;a=i;r+=c print(r) # Made By Mostafa_Khaled ```
output
1
107,534
2
215,069
Provide tags and a correct Python 3 solution for this coding contest problem. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3].
instruction
0
107,535
2
215,070
Tags: math Correct Solution: ``` n = int(input()) arr = list(map(int,input().split())) ans = 0 cnt = 1 for i in range(n-1): if arr[i] == arr[i+1]: cnt += 1 continue ans += (cnt*(cnt+1))//2 cnt = 1 ans += (cnt*(cnt+1))//2 print(ans) ```
output
1
107,535
2
215,071
Provide tags and a correct Python 3 solution for this coding contest problem. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3].
instruction
0
107,536
2
215,072
Tags: math Correct Solution: ``` n = int(input()) A = list(map(int, input().split())) j = 0 ans = 0 for i in range(n): while j < n: if A[i] == A[j]: j += 1 else: break ans += j-i if i == j: j += 1 print(ans) ```
output
1
107,536
2
215,073
Provide tags and a correct Python 3 solution for this coding contest problem. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3].
instruction
0
107,537
2
215,074
Tags: math Correct Solution: ``` n=int(input()) arr = [int(x) for x in input().strip().split()] arr1=arr[0] c=1 s=0 for ele in arr[1:]: if arr1==ele: c+=1 else : s+=(c*(c-1))//2 c=1 arr1=ele s+=(c*(c-1))//2 print(n+s) ```
output
1
107,537
2
215,075
Provide tags and a correct Python 3 solution for this coding contest problem. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3].
instruction
0
107,538
2
215,076
Tags: math Correct Solution: ``` input() L,ans='',0 for x in input().split(): if x==L: z+=1 else: if L!='': ans+=z*(z+1)//2 z,L=1,x ans+=z*(z+1)//2 print(ans) ```
output
1
107,538
2
215,077
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3]. Submitted Solution: ``` n = int(input()) a = list(map(int, input().split())) cur = 0 ans = 0 for i in range(n): if i and a[i] != a[i-1]: cur = 0 cur += 1 ans += cur print(ans) ```
instruction
0
107,539
2
215,078
Yes
output
1
107,539
2
215,079
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3]. Submitted Solution: ``` import sys import math from collections import defaultdict import itertools MAXNUM = math.inf MINNUM = -1 * math.inf def getInt(): return int(sys.stdin.readline().rstrip()) def getInts(): return map(int, sys.stdin.readline().rstrip().split(" ")) def getString(): return sys.stdin.readline().rstrip() def printOutput(ans): sys.stdout.write(str(ans) + "\n") def solve(arr): # min = max iff all elements in subarray are the same # amount of subarrays increases by len of consec elemnts total = 0 curEle = None ln = 1 for ele in arr: if ele == curEle: ln += 1 else: ln = 1 curEle = ele total += ln return total def readinput(): arrLen = getInt() arr = list(getInts()) printOutput(solve(arr)) readinput() ```
instruction
0
107,540
2
215,080
Yes
output
1
107,540
2
215,081
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3]. Submitted Solution: ``` import sys from functools import lru_cache, cmp_to_key from heapq import merge, heapify, heappop, heappush from math import * from collections import defaultdict as dd, deque, Counter as C from itertools import combinations as comb, permutations as perm from bisect import bisect_left as bl, bisect_right as br, bisect from time import perf_counter from fractions import Fraction import copy import time starttime = time.time() mod = int(pow(10, 9) + 7) mod2 = 998244353 # from sys import stdin # input = stdin.readline def data(): return sys.stdin.readline().strip() def out(*var, end="\n"): sys.stdout.write(' '.join(map(str, var))+end) def L(): return list(sp()) def sl(): return list(ssp()) def sp(): return map(int, data().split()) def ssp(): return map(str, data().split()) def l1d(n, val=0): return [val for i in range(n)] def l2d(n, m, val=0): return [l1d(n, val) for j in range(m)] try: # sys.setrecursionlimit(int(pow(10,6))) sys.stdin = open("input.txt", "r") # sys.stdout = open("../output.txt", "w") except: pass def pmat(A): for ele in A: print(ele,end="\n") n=L()[0] A=L() ans=0 i=0 while(i<n): j=i while(j<n and A[i]==A[j]): j+=1 ans+=(j-i)*(j-i+1)//2 i=j print(ans) endtime = time.time() # print(f"Runtime of the program is {endtime - starttime}") ```
instruction
0
107,541
2
215,082
Yes
output
1
107,541
2
215,083
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3]. Submitted Solution: ``` input() c=a=r=0 for i in input().split():c=(a==i)*c+1;a=i;r+=c print(r) ```
instruction
0
107,542
2
215,084
Yes
output
1
107,542
2
215,085
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3]. Submitted Solution: ``` n=int(input()) arr=[int(x) for x in input().split()] arr=sorted(arr) sub_st_array=[] cnt=0 for i in range(len(arr)): temp=[] for j in range(i,len(arr)): temp=arr[i:j+1] sub_st_array.append(temp) for i in range(len(sub_st_array)): if sub_st_array[i][0]==sub_st_array[i][-1]: cnt+=1 print(cnt) ```
instruction
0
107,543
2
215,086
No
output
1
107,543
2
215,087
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3]. Submitted Solution: ``` n=int(input()) arr = sorted([int(x) for x in input().strip().split()]) arr1=arr[0] c=1 s=0 for ele in arr[1:]: if arr1==ele: c+=1 else : s+=(c*(c-1))//2 c=1 arr1=ele print(n+s) ```
instruction
0
107,544
2
215,088
No
output
1
107,544
2
215,089
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Valery is very interested in magic. Magic attracts him so much that he sees it everywhere. He explains any strange and weird phenomenon through intervention of supernatural forces. But who would have thought that even in a regular array of numbers Valera manages to see something beautiful and magical. Valera absolutely accidentally got a piece of ancient parchment on which an array of numbers was written. He immediately thought that the numbers in this array were not random. As a result of extensive research Valera worked out a wonderful property that a magical array should have: an array is defined as magic if its minimum and maximum coincide. He decided to share this outstanding discovery with you, but he asks you for help in return. Despite the tremendous intelligence and wit, Valera counts very badly and so you will have to complete his work. All you have to do is count the number of magical subarrays of the original array of numbers, written on the parchment. Subarray is defined as non-empty sequence of consecutive elements. Input The first line of the input data contains an integer n (1 ≤ n ≤ 105). The second line contains an array of original integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109). Output Print on the single line the answer to the problem: the amount of subarrays, which are magical. Please do not use the %lld specificator to read or write 64-bit numbers in C++. It is recommended to use cin, cout streams (you can also use the %I64d specificator). Examples Input 4 2 1 1 4 Output 5 Input 5 -2 -2 -2 0 1 Output 8 Note Notes to sample tests: Magical subarrays are shown with pairs of indices [a;b] of the beginning and the end. In the first sample: [1;1], [2;2], [3;3], [4;4], [2;3]. In the second sample: [1;1], [2;2], [3;3], [4;4], [5;5], [1;2], [2;3], [1;3]. Submitted Solution: ``` input() c=a=ans=0 for i in input().split(): if(a!=i): ans+=c*(c+1)/2; c=1; else: c+=1; ans+=1; a=i; print(int(ans)) ```
instruction
0
107,545
2
215,090
No
output
1
107,545
2
215,091
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are in a fantasy monster-ridden world. You are a slayer fighting against the monsters with magic spells. The monsters have hit points for each, which represent their vitality. You can decrease their hit points by your magic spells: each spell gives certain points of damage, by which monsters lose their hit points, to either one monster or all monsters in front of you (depending on the spell). Monsters are defeated when their hit points decrease to less than or equal to zero. On the other hand, each spell may consume a certain amount of your magic power. Since your magic power is limited, you want to defeat monsters using the power as little as possible. Write a program for this purpose. Input The input consists of multiple datasets. Each dataset has the following format: N HP1 HP2 ... HPN M Name1 MP1 Target1 Damage1 Name2 MP2 Target2 Damage2 ... NameM MPM TargetM DamageM N is the number of monsters in front of you (1 ≤ N ≤ 100); HPi is the hit points of the i-th monster (1 ≤ HPi ≤ 100000); M is the number of available magic spells (1 ≤ M ≤ 100); Namej is the name of the j-th spell, consisting of up to 16 uppercase and lowercase letters; MPj is the amount of magic power consumed by the j-th spell (0 ≤ MPj ≤ 99); Targetj is either "Single" or "All", where these indicate the j-th magic gives damage just to a single monster or to all monsters respectively; Damagej is the amount of damage (per monster in case of "All") made by the j-th magic (0 ≤ Damagej ≤ 999999). All the numbers in the input are integers. There is at least one spell that gives non-zero damage to monsters. The last dataset is followed by a line containing one zero. This line is not a part of any dataset and should not be processed. Output For each dataset, Print in a line the minimum amount of magic power consumed to defeat all the monsters in the input. Example Input 3 8000 15000 30000 3 Flare 45 Single 8000 Meteor 62 All 6000 Ultimate 80 All 9999 0 Output 232 Submitted Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**13 mod = 10**9+7 dd = [(-1,0),(0,1),(1,0),(0,-1)] ddn = [(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)] def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def pf(s): return print(s, flush=True) def main(): rr = [] def f(n): h = LI() hm = max(h) m = I() ms = [] ma = [] for _ in range(m): nama,mp,target,damege = LS() mp = int(mp) damege = int(damege) if damege == 0: continue if mp == 0: return 0 if target == 'All': ma.append((mp,damege)) else: ms.append((mp,damege)) ds = [inf] * (hm+1) ds[0] = 0 for mp, dm in ms: for i in range(dm,hm+1): if ds[i] > mp + ds[i-dm]: ds[i] = mp + ds[i-dm] t = min(ds[-dm+1:]) if ds[-1] > t + dm: ds[-1] = t + dm da = [inf] * (hm+1) da[0] = 0 for mp, dm in ma: for i in range(dm,hm+1): if da[i] > mp + da[i-dm]: da[i] = mp + da[i-dm] t = min(da[-dm+1:]) if da[-1] > t + dm: da[-1] = t + dm for i in range(hm-1,-1,-1): if ds[i] > ds[i+1]: ds[i] = ds[i+1] if da[i] > da[i+1]: da[i] = da[i+1] mm = r = inf for i in range(hm,-1,-1): if mm <= da[i]: continue mm = tp = da[i] for hi in h: if hi > i: tp += ds[hi-i] if r > tp: r = tp return r while True: n = I() if n == 0: break rr.append(f(n)) return '\n'.join(map(str,rr)) print(main()) ```
instruction
0
108,595
2
217,190
No
output
1
108,595
2
217,191
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are in a fantasy monster-ridden world. You are a slayer fighting against the monsters with magic spells. The monsters have hit points for each, which represent their vitality. You can decrease their hit points by your magic spells: each spell gives certain points of damage, by which monsters lose their hit points, to either one monster or all monsters in front of you (depending on the spell). Monsters are defeated when their hit points decrease to less than or equal to zero. On the other hand, each spell may consume a certain amount of your magic power. Since your magic power is limited, you want to defeat monsters using the power as little as possible. Write a program for this purpose. Input The input consists of multiple datasets. Each dataset has the following format: N HP1 HP2 ... HPN M Name1 MP1 Target1 Damage1 Name2 MP2 Target2 Damage2 ... NameM MPM TargetM DamageM N is the number of monsters in front of you (1 ≤ N ≤ 100); HPi is the hit points of the i-th monster (1 ≤ HPi ≤ 100000); M is the number of available magic spells (1 ≤ M ≤ 100); Namej is the name of the j-th spell, consisting of up to 16 uppercase and lowercase letters; MPj is the amount of magic power consumed by the j-th spell (0 ≤ MPj ≤ 99); Targetj is either "Single" or "All", where these indicate the j-th magic gives damage just to a single monster or to all monsters respectively; Damagej is the amount of damage (per monster in case of "All") made by the j-th magic (0 ≤ Damagej ≤ 999999). All the numbers in the input are integers. There is at least one spell that gives non-zero damage to monsters. The last dataset is followed by a line containing one zero. This line is not a part of any dataset and should not be processed. Output For each dataset, Print in a line the minimum amount of magic power consumed to defeat all the monsters in the input. Example Input 3 8000 15000 30000 3 Flare 45 Single 8000 Meteor 62 All 6000 Ultimate 80 All 9999 0 Output 232 Submitted Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**13 mod = 10**9+7 dd = [(-1,0),(0,1),(1,0),(0,-1)] ddn = [(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)] def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def pf(s): return print(s, flush=True) def main(): rr = [] def f(n): h = [I() for _ in range(n)] hm = max(h) m = I() ms = [] ma = [] zf = False for _ in range(m): nama,mp,target,damege = LS() mp = int(mp) damege = int(damege) if damege == 0: continue if mp == 0: zf = True continue if target == 'All': ma.append((mp,damege)) else: ms.append((mp,damege)) if zf: return 0 ds = [inf] * (hm+1) ds[0] = 0 for mp, dm in ms: for i in range(dm,hm+1): if ds[i] > mp + ds[i-dm]: ds[i] = mp + ds[i-dm] t = min(ds[-dm+1:]) if ds[-1] > t + dm: ds[-1] = t + dm da = [inf] * (hm+1) da[0] = 0 for mp, dm in ma: for i in range(dm,hm+1): if da[i] > mp + da[i-dm]: da[i] = mp + da[i-dm] t = min(da[-dm+1:]) if da[-1] > t + dm: da[-1] = t + dm for i in range(hm-1,-1,-1): if ds[i] > ds[i+1]: ds[i] = ds[i+1] if da[i] > da[i+1]: da[i] = da[i+1] mm = r = inf for i in range(hm,-1,-1): if mm <= da[i]: continue mm = tp = da[i] for hi in h: if hi > i: tp += ds[hi-i] if r > tp: r = tp return r while True: n = I() if n == 0: break rr.append(f(n)) return '\n'.join(map(str,rr)) print(main()) ```
instruction
0
108,596
2
217,192
No
output
1
108,596
2
217,193