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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Having learned the multiplication table, Takahashi can multiply two integers between 1 and 9 (inclusive) together. He cannot do any other calculation. Given are two integers A and B. If Takahashi can calculate A \times B, print the result; if he cannot, print `-1` instead. Constraints * 1 \leq A \leq 20 * 1 \leq B \leq 20 * All values in input are integers. Input Input is given from Standard Input in the following format: A B Output If Takahashi can calculate A \times B, print the result; if he cannot, print `-1`. Examples Input 2 5 Output 10 Input 5 10 Output -1 Input 9 9 Output 81 Submitted Solution: ``` a,b=map(int, input().split()) if (9-a)*(9-b)<0: print(-1) else: print(a*b) ```
instruction
0
86,343
5
172,686
No
output
1
86,343
5
172,687
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Having learned the multiplication table, Takahashi can multiply two integers between 1 and 9 (inclusive) together. He cannot do any other calculation. Given are two integers A and B. If Takahashi can calculate A \times B, print the result; if he cannot, print `-1` instead. Constraints * 1 \leq A \leq 20 * 1 \leq B \leq 20 * All values in input are integers. Input Input is given from Standard Input in the following format: A B Output If Takahashi can calculate A \times B, print the result; if he cannot, print `-1`. Examples Input 2 5 Output 10 Input 5 10 Output -1 Input 9 9 Output 81 Submitted Solution: ``` s = input().split() if A > 10 or B > 10: print(1) else: print(a * b) ```
instruction
0
86,344
5
172,688
No
output
1
86,344
5
172,689
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd
instruction
0
86,385
5
172,770
"Correct Solution: ``` print("EOvdedn"[eval(input().replace(" ","*"))%2::2]) ```
output
1
86,385
5
172,771
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd
instruction
0
86,386
5
172,772
"Correct Solution: ``` a, b = map(int, input().split()); print('Even') if a*b%2 == 0 else print('Odd') ```
output
1
86,386
5
172,773
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd
instruction
0
86,387
5
172,774
"Correct Solution: ``` print('EOvdedn'[eval(input().replace(' ','*')+'%2')::2]) ```
output
1
86,387
5
172,775
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd
instruction
0
86,388
5
172,776
"Correct Solution: ``` print('EOvdedn'[sum(s in'04'for s in input())<1::2]) ```
output
1
86,388
5
172,777
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd
instruction
0
86,389
5
172,778
"Correct Solution: ``` a,b=[int(x) for x in input().split()] print("Odd" if a*b%2==1 else "Even") ```
output
1
86,389
5
172,779
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd
instruction
0
86,390
5
172,780
"Correct Solution: ``` a, b = map(int,input().split()) print('Even' if (a*b%2 == 0) else 'Odd') ```
output
1
86,390
5
172,781
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd
instruction
0
86,391
5
172,782
"Correct Solution: ``` a, b = map(int, input().split()) print('Odd' if a*b%2 != 0 else 'Even') ```
output
1
86,391
5
172,783
Provide a correct Python 3 solution for this coding contest problem. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd
instruction
0
86,392
5
172,784
"Correct Solution: ``` a,b = map(int, input().split()) print('EOvdedn'[a*b%2==1::2]) ```
output
1
86,392
5
172,785
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd Submitted Solution: ``` a, b = map(int, input().split()) if a * b % 2: print('Odd') else: print('Even') ```
instruction
0
86,393
5
172,786
Yes
output
1
86,393
5
172,787
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd Submitted Solution: ``` a, b = map(int, input().split()) print(a*b % 2 and 'Odd' or 'Even') ```
instruction
0
86,394
5
172,788
Yes
output
1
86,394
5
172,789
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd Submitted Solution: ``` a, b = map(int, input().split()) print(["Even", "Odd"][a * b % 2]) ```
instruction
0
86,395
5
172,790
Yes
output
1
86,395
5
172,791
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd Submitted Solution: ``` a, b = map(int, (input().split())) print("Even" if a * b % 2 == 0 else "Odd") ```
instruction
0
86,396
5
172,792
Yes
output
1
86,396
5
172,793
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd Submitted Solution: ``` a = int(input()) b = int(input()) if a*b % 2 == 0: print("Even") else: print("Odd") ```
instruction
0
86,397
5
172,794
No
output
1
86,397
5
172,795
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd Submitted Solution: ``` a, b = map(int, input().split()) if (a*b) % 2: print(‘Odd’) else: print(‘Even’) ```
instruction
0
86,398
5
172,796
No
output
1
86,398
5
172,797
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd Submitted Solution: ``` a, b = tuple(int(num) for input().split()) ab = a * b if ab % 2: print('Odd') else: print('Even') ```
instruction
0
86,399
5
172,798
No
output
1
86,399
5
172,799
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is even or odd. Constraints * 1 ≤ a,b ≤ 10000 * a and b are integers. Input Input is given from Standard Input in the following format: a b Output If the product is odd, print `Odd`; if it is even, print `Even`. Examples Input 3 4 Output Even Input 1 21 Output Odd Submitted Solution: ``` #入力値の取得 _in =input().split() #文字の結合 cont_str = _in[0] + _in[1] #数字に変換 cont_num = int(cont_str) #平方数の判定 #総当たり頭悪そう 1<= ab <= 100 なので 4*4~ 100*100 sqrt_flag = False for i in range(4, 102): sqrt = i * i print(sqrt) if cont_num == sqrt: sqrt_flag = True break if sqrt_flag: print('Yes') else: print('No') ```
instruction
0
86,400
5
172,800
No
output
1
86,400
5
172,801
Provide a correct Python 3 solution for this coding contest problem. problem Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a different natural number from the given natural numbers. Output one pair that can be created with a value difference that is a multiple of $ N -1 $. It should be noted that such a pair always exists. Example Input 5 1 2 4 7 10 Output 2 10
instruction
0
86,538
5
173,076
"Correct Solution: ``` def solve(): n = int(input()) li = [int(_) for _ in input().split()] for i in range(n): for j in range(i+1, n): if abs(li[i]-li[j]) % (n-1) == 0: print(str(li[i]) + " " + str(li[j])) return solve() ```
output
1
86,538
5
173,077
Provide a correct Python 3 solution for this coding contest problem. problem Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a different natural number from the given natural numbers. Output one pair that can be created with a value difference that is a multiple of $ N -1 $. It should be noted that such a pair always exists. Example Input 5 1 2 4 7 10 Output 2 10
instruction
0
86,539
5
173,078
"Correct Solution: ``` N = int(input()) a = [int(x) for x in input().split()] x, y = -1, -1 for i in range(N) : for j in range(N) : if i != j and abs(a[i] - a[j]) % (N - 1) == 0 : x, y = i, j print(a[x], a[y]) ```
output
1
86,539
5
173,079
Provide a correct Python 3 solution for this coding contest problem. problem Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a different natural number from the given natural numbers. Output one pair that can be created with a value difference that is a multiple of $ N -1 $. It should be noted that such a pair always exists. Example Input 5 1 2 4 7 10 Output 2 10
instruction
0
86,540
5
173,080
"Correct Solution: ``` import itertools n = int(input()) num = list(map(int, input().split())) for comb in itertools.combinations(num, 2): diff = abs(comb[0] - comb[1]) if diff % (n-1) == 0: print(comb[0], comb[1]) break ```
output
1
86,540
5
173,081
Provide a correct Python 3 solution for this coding contest problem. problem Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a different natural number from the given natural numbers. Output one pair that can be created with a value difference that is a multiple of $ N -1 $. It should be noted that such a pair always exists. Example Input 5 1 2 4 7 10 Output 2 10
instruction
0
86,541
5
173,082
"Correct Solution: ``` n=int(input()) num=list(map(int,input().split())) num.sort() flag=0 for i in range(n): if flag==1:break for j in range(1,n-i): if flag==1:break elif (num[i+j]-num[i])%(n-1)==0: print(num[i],num[i+j]) flag=1 ```
output
1
86,541
5
173,083
Provide a correct Python 3 solution for this coding contest problem. problem Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a different natural number from the given natural numbers. Output one pair that can be created with a value difference that is a multiple of $ N -1 $. It should be noted that such a pair always exists. Example Input 5 1 2 4 7 10 Output 2 10
instruction
0
86,542
5
173,084
"Correct Solution: ``` import itertools N = int(input()) num = list(map(int, input().split())) a = itertools.combinations(num, 2) for i, j in a: if abs(i - j) % (N-1) == 0: print(i , j) break ```
output
1
86,542
5
173,085
Provide a correct Python 3 solution for this coding contest problem. problem Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a different natural number from the given natural numbers. Output one pair that can be created with a value difference that is a multiple of $ N -1 $. It should be noted that such a pair always exists. Example Input 5 1 2 4 7 10 Output 2 10
instruction
0
86,543
5
173,086
"Correct Solution: ``` n = int(input()) a = list(map(int, input().split())) a.sort() for i in a: for j in a: if abs(i-j)%(n-1) == 0 and i != j: print(i, j) quit() ```
output
1
86,543
5
173,087
Provide a correct Python 3 solution for this coding contest problem. problem Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a different natural number from the given natural numbers. Output one pair that can be created with a value difference that is a multiple of $ N -1 $. It should be noted that such a pair always exists. Example Input 5 1 2 4 7 10 Output 2 10
instruction
0
86,544
5
173,088
"Correct Solution: ``` def main(): n = int(input()) a = list(map(int,input().split())) for i in a: for j in a: if(i != j and abs(i-j) % (n-1) == 0): print(i,j) return 0 main() ```
output
1
86,544
5
173,089
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20 Submitted Solution: ``` #!/usr/bin/env python3 # -*- coding: utf-8 -*- ################################## # University of Wisconsin-Madison # Author: Yaqi Zhang ################################## # standard library import sys def main(): n, m, k = map(int, input().split()) nums = list(map(int, input().split())) pre_reps = [0] * (m + 1) ops = [] for _ in range(m): l, r, d = map(int, input().split()) ops.append((l - 1, r - 1, d)) for _ in range(k): x, y = map(int, input().split()) x -= 1 y -= 1 pre_reps[x] += 1 pre_reps[y + 1] -= 1 cur = 0 add = [0] * (n + 1) for i, (l, r, d) in enumerate(ops): cur += pre_reps[i] add[l] += d * cur add[r + 1] -= d * cur cur = 0 ans = [] for i, num in enumerate(nums): cur += add[i] ans.append(num + cur) print(' '.join(map(str, ans))) if __name__ == "__main__": main() ```
instruction
0
86,960
5
173,920
Yes
output
1
86,960
5
173,921
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20 Submitted Solution: ``` import sys n,m,k=map(int,sys.stdin.readline().split()) a=list(map(int,sys.stdin.readline().split())) s=sum(a) m1=[] for i in range(m): g=list(map(int,sys.stdin.readline().split())) m1.append(g) k1=[] for i in range(k): g=list(map(int,sys.stdin.readline().split())) k1.append(g) cnt=[0]*(m+1) for i in range(k): cnt[k1[i][0]-1]+=1 cnt[k1[i][1]]+=-1 s=0 for i in range(m+1): s+=cnt[i] cnt[i]=s cnt1=[0]*(n+1) for i in range(m): cnt1[m1[i][0]-1]+=cnt[i]*m1[i][2] cnt1[m1[i][1]]+=-cnt[i]*m1[i][2] s=0 for i in range(n): s+=cnt1[i] a[i]+=s print(a[i],end=" ") ```
instruction
0
86,961
5
173,922
Yes
output
1
86,961
5
173,923
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20 Submitted Solution: ``` first_line = [int(num) for num in input().split()] n = first_line[0] m = first_line[1] k = first_line[2] initial_array = [int(num) for num in input().split()] operations = [] for _ in range(m): curr_line = [int(num) for num in input().split()] operations.append(curr_line) queries = [] for _ in range(k): curr_line = [int(num) for num in input().split()] queries.append(curr_line) counter = [0] * (m+1) for query in queries: x = query[0] y = query[1] counter[x-1] += 1 counter[y] -= 1 res = 0 other = [0] * (n+1) for index in range(m): operation = operations[index] l = operation[0] r = operation[1] d = operation[2] res += counter[index] other[l-1] += res*d other[r] -= res*d res = 0 for index in range(n): res += other[index] initial_array[index] += res print(" ".join(str(value) for value in initial_array)) ```
instruction
0
86,962
5
173,924
Yes
output
1
86,962
5
173,925
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20 Submitted Solution: ``` import sys input = sys.stdin.readline n,m,k=map(int,input().split()) arr=list(map(int,input().split())) querry_arr=[list(map(int, input().split())) for _ in range(m)] tmp_ans=[0]*n tmp=[0]*(m+1) for _ in range(k): l,r=map(lambda k:int(k)-1,input().split()) tmp[l]+=1 tmp[r+1]-=1 for x in range(1,m): tmp[x]+=tmp[x-1] arr_tmp=[0]*(n+1) tmp.pop() for x in range(m): u,v,w=querry_arr[x] u-=1 v-=1 arr_tmp[u]+=w*tmp[x] arr_tmp[v+1]-=w*tmp[x] arr[0]+=arr_tmp[0] for x in range(1,n): arr_tmp[x]+=arr_tmp[x-1] arr[x]+=arr_tmp[x] print(' '.join(map(str, arr))) ```
instruction
0
86,963
5
173,926
Yes
output
1
86,963
5
173,927
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20 Submitted Solution: ``` if __name__ == '__main__': n, m, k = map(int, input().split()) nums = list(map(int, input().split())) operations = [tuple(map(int, input().split())) for _ in range(m)] op_counter = [0] * (m+1) # queries for _ in range(k): x, y = map(int, input().split()) op_counter[x-1] += 1 op_counter[y] -= 1 acc = 0 offset = [0]*(n+1) for i in range(m): l, r, d = operations[i] acc += op_counter[i] offset[l-1] += acc * d offset[r] -= acc * d acc = 0 for i in range(n): acc += offset[i] nums[i] += acc print(nums) ```
instruction
0
86,964
5
173,928
No
output
1
86,964
5
173,929
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20 Submitted Solution: ``` # Legends Always Come Up with Solution # Author: Manvir Singh import os import sys from io import BytesIO, IOBase def main(): n,m,k=map(int,input().split()) a=list(map(int,input().split())) ma=max(a) q=[tuple(map(int,input().split())) for _ in range(m)] qans=[0]*(m+1) for i in range(k): x,y=map(int,input().split()) x-=1 qans[x]+=1 qans[y]-=1 for i in range(1,m+1): qans[i]+=qans[i-1] ans=[0]*(ma+2) for j,i in enumerate(q): x=qans[j]*i[2] ans[i[0]]+=x ans[i[1]+1]-=x for i in range(1,ma+1): ans[i]+=ans[i-1] for i in a: print(i+ans[i],end=" ") # region fastio 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") if __name__ == "__main__": main() ```
instruction
0
86,965
5
173,930
No
output
1
86,965
5
173,931
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20 Submitted Solution: ``` def fastio(): import sys from io import StringIO from atexit import register global input sys.stdin = StringIO(sys.stdin.read()) input = lambda : sys.stdin.readline().rstrip('\r\n') sys.stdout = StringIO() register(lambda : sys.__stdout__.write(sys.stdout.getvalue())) fastio() MOD = 10**9 + 7 I = lambda:list(map(int,input().split())) n, m, k = I() l = I() a = [0]*(100005) q = [] b = [0]*(100005) for i in range(m): o = I() o[0] -= 1 q.append(o) for i in range(k): x, y = I() b[x-1] += 1 b[y] -= 1 for i in range(1, n): b[i] += b[i-1] for i in range(m): x, y, z = q[i] a[x] += b[i]*z a[y] -= b[i]*z for i in range(n): a[i] += a[i-1] print(a[i] + l[i], end = ' ') ```
instruction
0
86,966
5
173,932
No
output
1
86,966
5
173,933
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: li, ri, di, (1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di. Greg wrote down k queries on a piece of paper. Each query has the following form: xi, yi, (1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array. Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg. Input The first line contains integers n, m, k (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array. Next m lines contain operations, the operation number i is written as three integers: li, ri, di, (1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105). Next k lines contain the queries, the query number i is written as two integers: xi, yi, (1 ≤ xi ≤ yi ≤ m). The numbers in the lines are separated by single spaces. Output On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier. Examples Input 3 3 3 1 2 3 1 2 1 1 3 2 2 3 4 1 2 1 3 2 3 Output 9 18 17 Input 1 1 1 1 1 1 1 1 1 Output 2 Input 4 3 6 1 2 3 4 1 2 1 2 3 2 3 4 4 1 2 1 3 2 3 1 2 1 3 2 3 Output 5 18 31 20 Submitted Solution: ``` import sys, os, io def rs(): return sys.stdin.readline().rstrip() def ri(): return int(sys.stdin.readline()) def ria(): return list(map(int, sys.stdin.readline().split())) def ws(s): sys.stdout.write(s + '\n') def wi(n): sys.stdout.write(str(n) + '\n') def wia(a): sys.stdout.write(' '.join([str(x) for x in a]) + '\n') import math,datetime,functools,itertools,operator,bisect,fractions,statistics from collections import deque,defaultdict,OrderedDict,Counter from fractions import Fraction from decimal import Decimal from sys import stdout from heapq import heappush, heappop, heapify ,_heapify_max,_heappop_max,nsmallest,nlargest sys.setrecursionlimit(111111) INF=99999999999999999999999999999999 def main(): mod=1000000007 # InverseofNumber(mod) # InverseofFactorial(mod) # factorial(mod) starttime=datetime.datetime.now() if(os.path.exists('input.txt')): sys.stdin = open("input.txt","r") sys.stdout = open("output.txt","w") ###CODE tc = 1 for _ in range(tc): n,m,k=ria() arr=ria() operations=[] queries=[] ansrange=[0]*(100005) oprange=[0]*(m+5) for i in range(m): operations.append(ria()) for i in range(k): a,b=ria() oprange[a-1]+=1 oprange[b]-=1 for i in range(1,len(oprange)): oprange[i]+=oprange[i-1] # print(oprange) for i in range(len(oprange)): if oprange[i]: l,r,d=operations[i] ansrange[l]+=d*oprange[i] ansrange[r+1]-=d*oprange[i] for i in range(1,len(oprange)): ansrange[i]+=ansrange[i-1] ans=[] for i in arr: ans.append(i+ansrange[i]) wia(ans) #<--Solving Area Ends endtime=datetime.datetime.now() time=(endtime-starttime).total_seconds()*1000 if(os.path.exists('input.txt')): print("Time:",time,"ms") class FastReader(io.IOBase): newlines = 0 def __init__(self, fd, chunk_size=1024 * 8): self._fd = fd self._chunk_size = chunk_size self.buffer = io.BytesIO() def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, self._chunk_size)) 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, size=-1): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, self._chunk_size if size == -1 else size)) 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() class FastWriter(io.IOBase): def __init__(self, fd): self._fd = fd self.buffer = io.BytesIO() self.write = self.buffer.write def flush(self): os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class FastStdin(io.IOBase): def __init__(self, fd=0): self.buffer = FastReader(fd) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") class FastStdout(io.IOBase): def __init__(self, fd=1): self.buffer = FastWriter(fd) self.write = lambda s: self.buffer.write(s.encode("ascii")) self.flush = self.buffer.flush if __name__ == '__main__': sys.stdin = FastStdin() sys.stdout = FastStdout() main() ```
instruction
0
86,967
5
173,934
No
output
1
86,967
5
173,935
Provide tags and a correct Python 3 solution for this coding contest problem. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873
instruction
0
87,000
5
174,000
Tags: *special, brute force, constructive algorithms, dsu, implementation Correct Solution: ``` print(sum( [int (x) for x in input().strip().split()])) ```
output
1
87,000
5
174,001
Provide tags and a correct Python 3 solution for this coding contest problem. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873
instruction
0
87,001
5
174,002
Tags: *special, brute force, constructive algorithms, dsu, implementation Correct Solution: ``` a,b=map(int,input().split()) print(a+b ) ```
output
1
87,001
5
174,003
Provide tags and a correct Python 3 solution for this coding contest problem. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873
instruction
0
87,002
5
174,004
Tags: *special, brute force, constructive algorithms, dsu, implementation Correct Solution: ``` a, b = map(int, input().split(" ")) print(a + b) # # # # # # # # ```
output
1
87,002
5
174,005
Provide tags and a correct Python 3 solution for this coding contest problem. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873
instruction
0
87,003
5
174,006
Tags: *special, brute force, constructive algorithms, dsu, implementation Correct Solution: ``` #This should work, stupid contest!!! a,b = map(int, input().split()) print(a + b) ```
output
1
87,003
5
174,007
Provide tags and a correct Python 3 solution for this coding contest problem. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873
instruction
0
87,004
5
174,008
Tags: *special, brute force, constructive algorithms, dsu, implementation Correct Solution: ``` from sys import stdin,stdout def main(): inp = [int (i) for i in input().split(" ")] print(inp[0]+inp[1]) if __name__ == "__main__": main() ```
output
1
87,004
5
174,009
Provide tags and a correct Python 3 solution for this coding contest problem. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873
instruction
0
87,005
5
174,010
Tags: *special, brute force, constructive algorithms, dsu, implementation Correct Solution: ``` n,m = map(int,input().split()) r=0 print(int(n)+int(m)) ```
output
1
87,005
5
174,011
Provide tags and a correct Python 3 solution for this coding contest problem. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873
instruction
0
87,006
5
174,012
Tags: *special, brute force, constructive algorithms, dsu, implementation Correct Solution: ``` x,y = map(int,input().split()) print(x+y) ```
output
1
87,006
5
174,013
Provide tags and a correct Python 3 solution for this coding contest problem. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873
instruction
0
87,007
5
174,014
Tags: *special, brute force, constructive algorithms, dsu, implementation Correct Solution: ``` a, b = map(int, input().split()) print((a&b)+(a|b)) #6 ```
output
1
87,007
5
174,015
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873 Submitted Solution: ``` a, b = [int(i) for i in input().split()] print(a+b) ```
instruction
0
87,008
5
174,016
Yes
output
1
87,008
5
174,017
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873 Submitted Solution: ``` a,b=map(int,input().split(" ")) b+=a print(b) ```
instruction
0
87,009
5
174,018
Yes
output
1
87,009
5
174,019
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873 Submitted Solution: ``` print(sum(map(int,input().split(' ')))) ```
instruction
0
87,010
5
174,020
Yes
output
1
87,010
5
174,021
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873 Submitted Solution: ``` a, b = map(int, input().split()) print(a+b) #6 ```
instruction
0
87,011
5
174,022
Yes
output
1
87,011
5
174,023
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873 Submitted Solution: ``` #ddd]1111 a, b = map(int, input().split()) print(a + b) ```
instruction
0
87,012
5
174,024
No
output
1
87,012
5
174,025
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873 Submitted Solution: ``` a,b=map(int,input().split()) print(a+b&1023) ```
instruction
0
87,013
5
174,026
No
output
1
87,013
5
174,027
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873 Submitted Solution: ``` a,b = map(int,input().split()) print(0+a+b) ```
instruction
0
87,014
5
174,028
No
output
1
87,014
5
174,029
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A + B is often used as an example of the easiest problem possible to show some contest platform. However, some scientists have observed that sometimes this problem is not so easy to get accepted. Want to try? Input The input contains two integers a and b (0 ≤ a, b ≤ 103), separated by a single space. Output Output the sum of the given integers. Examples Input 5 14 Output 19 Input 381 492 Output 873 Submitted Solution: ``` a,b=int(input()).split() sum=a+b print(sum) ```
instruction
0
87,015
5
174,030
No
output
1
87,015
5
174,031
Provide a correct Python 3 solution for this coding contest problem. Given are integer sequences A and B of length 3N. Each of these two sequences contains three copies of each of 1, 2, \dots, N. In other words, A and B are both arrangements of (1, 1, 1, 2, 2, 2, \dots, N, N, N). Tak can perform the following operation to the sequence A arbitrarily many times: * Pick a value from 1, 2, \dots, N and call it x. A contains exactly three copies of x. Remove the middle element of these three. After that, append x to the beginning or the end of A. Check if he can turn A into B. If he can, print the minimum required number of operations to achieve that. Constraints * 1 \leq N \leq 33 * A and B are both arrangements of (1, 1, 1, 2, 2, 2, \dots, N, N, N). * All values in input are integers. Input Input is given from Standard Input in the following format: N A_1 A_2 ... A_{3N} B_1 B_2 ... B_{3N} Output If Tak can turn A into B, print the minimum required number of operations to achieve that. Otherwise, print -1. Examples Input 3 2 3 1 1 3 2 2 1 3 1 2 2 3 1 2 3 1 3 Output 4 Input 3 1 1 1 2 2 2 3 3 3 1 1 1 2 2 2 3 3 3 Output 0 Input 3 2 3 3 1 1 1 2 2 3 3 2 2 1 1 1 3 3 2 Output -1 Input 8 3 6 7 5 4 8 4 1 1 3 8 7 3 8 2 4 7 5 2 2 6 5 6 1 7 5 8 1 3 6 7 5 4 8 1 3 3 8 2 4 2 6 5 6 1 4 7 2 Output 7
instruction
0
87,303
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174,606
"Correct Solution: ``` import sys readline = sys.stdin.buffer.readline class E: def __init__(self,to,nx): self.to=to self.nx=nx class Graph: def __init__(self,n): self.n=n self.head=[None]*n def ae(self,a,b): head=self.head head[a]=E(b,head[a]) #head[b]=E(a,head[b]) return head[a] def scc(g): n=g.n cur=g.head last=[None]*n order=[-1]*n low=[-1]*n bl=[-1]*n idx=[] st=[] num=0 for i in range(n): if order[i]!=-1: continue rec=[i] while rec: v=rec[-1] if last[v] is None: #first in v order[v]=low[v]=num num+=1 st.append(v) else: #process last edge low[v]=min(low[v],low[last[v].to]) found=False while cur[v] is not None: #process next edge e=cur[v] cur[v]=e.nx to=e.to if order[to]==-1: #visit another node rec.append(to) last[v]=e found=True break elif bl[to]==-1: low[v]=min(low[v],order[to]) if not found: #last out v rec.pop() if order[v]==low[v]: c=len(idx) tmp=[] while True: a=st.pop() bl[a]=c tmp.append(a) if v==a: break idx.append(tmp) s=len(idx) for i in range(n): bl[i]=s-1-bl[i] idx.reverse() return (s,bl,idx) class twosat: def __init__(self,n): self.n=n self.g=Graph(2*n) def add(self,x,y): self.g.ae(x^1,y) self.g.ae(y^1,x) def solve(self): s,bl,idx=scc(self.g) for i in range(self.n): if bl[i*2]==bl[i*2+1]: return False return True n=int(readline()) N=n*3 a=list(map(int,readline().split())) b=list(map(int,readline().split())) for i in range(N): a[i]-=1 b[i]-=1 apos=[[] for i in range(n)] for i in range(N): apos[a[i]].append(i) bpos=[[] for i in range(n)] for i in range(N): bpos[b[i]].append(i) def feasible(l,r): t=[False]*N def issubseq(): head=l for i in range(N): if t[i]: while head<r and a[i]!=b[head]: head+=1 if head==r: return False head+=1 return True l2r=[] r2l=[] w=[] for val in range(n): z=[] for x in bpos[val]: if x<l: z.append(0) elif x<r: z.append(1) else: z.append(2) if z==[0,0,0]: return False elif z==[0,0,1]: t[apos[val][2]]=1 elif z==[0,0,2]: x=l-bpos[val][0] y=bpos[val][2]-r r2l.append((x,y)) elif z==[0,1,1]: t[apos[val][0]]=1 t[apos[val][2]]=1 elif z==[0,1,2]: x=l-bpos[val][0] y=bpos[val][2]-r w.append((apos[val][0],apos[val][2],x,y)) elif z==[0,2,2]: x=l-bpos[val][0] y=bpos[val][2]-r l2r.append((x,y)) elif z==[1,1,1]: t[apos[val][0]]=1 t[apos[val][1]]=1 t[apos[val][2]]=1 elif z==[1,1,2]: t[apos[val][0]]=1 t[apos[val][2]]=1 elif z==[1,2,2]: t[apos[val][0]]=1 elif z==[2,2,2]: return False else: assert False if not issubseq(): return False def conflict(xa,xb,ya,yb): return ya<=xa and xb<=yb for xa,xb in l2r: for ya,yb in r2l: if conflict(xa,xb,ya,yb): return False s=len(w) ts=twosat(s) for i in range(s): pa,pb,qa,qb=w[i] #left is ok? ok=True t[pa]=1 if not issubseq(): ok=False t[pa]=0; if ok: for xa,xb in l2r: if conflict(xa,xb,qa,qb): ok=False if not ok: ts.add(i*2+1,i*2+1) #right is ok? ok=True t[pb]=1; if not issubseq(): ok=False t[pb]=0; if ok: for ya,yb in r2l: if conflict(qa,qb,ya,yb): ok=False if not ok: ts.add(i*2,i*2) for i in range(s): for j in range(i+1,s): p0a,p0b,q0a,q0b=w[i] p1a,p1b,q1a,q1b=w[j] t0=bpos[a[p0a]][1] t1=bpos[a[p1a]][1] #left-left is ok? ok=True if (p0a<p1a)!=(t0<t1): ok=False if not ok: ts.add(i*2+1,j*2+1) #left-right is ok? ok=True if (p0a<p1b)!=(t0<t1): ok=False if conflict(q1a,q1b,q0a,q0b): ok=False if not ok: ts.add(i*2+1,j*2) #right-left is ok? ok=True if (p0b<p1a)!=(t0<t1): ok=False; if conflict(q0a,q0b,q1a,q1b): ok=False if not ok: ts.add(i*2,j*2+1) #right-right is ok? ok=True if (p0b<p1b)!=(t0<t1): ok=False if not ok: ts.add(i*2,j*2); return ts.solve(); ans=10**18 for i in range(N): for j in range(i,N+1): if feasible(i,j): ans=min(ans,N-(j-i)) if ans==10**18: ans=-1 print(ans) ```
output
1
87,303
5
174,607