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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sequences: a_1, a_2, …, a_n; b_1, b_2, …, b_n; c_1, c_2, …, c_n. For each i, a_i ≠ b_i, a_i ≠ c_i, b_i ≠ c_i. Find a sequence p_1, p_2, …, p_n, that satisfy the following c...
instruction
0
59,915
5
119,830
No
output
1
59,915
5
119,831
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dima got into number sequences. Now he's got sequence a1, a2, ..., an, consisting of n positive integers. Also, Dima has got a function f(x), which can be defined with the following recurrence: ...
instruction
0
60,063
5
120,126
Yes
output
1
60,063
5
120,127
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dima got into number sequences. Now he's got sequence a1, a2, ..., an, consisting of n positive integers. Also, Dima has got a function f(x), which can be defined with the following recurrence: ...
instruction
0
60,064
5
120,128
Yes
output
1
60,064
5
120,129
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dima got into number sequences. Now he's got sequence a1, a2, ..., an, consisting of n positive integers. Also, Dima has got a function f(x), which can be defined with the following recurrence: ...
instruction
0
60,065
5
120,130
Yes
output
1
60,065
5
120,131
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dima got into number sequences. Now he's got sequence a1, a2, ..., an, consisting of n positive integers. Also, Dima has got a function f(x), which can be defined with the following recurrence: ...
instruction
0
60,066
5
120,132
Yes
output
1
60,066
5
120,133
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dima got into number sequences. Now he's got sequence a1, a2, ..., an, consisting of n positive integers. Also, Dima has got a function f(x), which can be defined with the following recurrence: ...
instruction
0
60,067
5
120,134
No
output
1
60,067
5
120,135
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dima got into number sequences. Now he's got sequence a1, a2, ..., an, consisting of n positive integers. Also, Dima has got a function f(x), which can be defined with the following recurrence: ...
instruction
0
60,068
5
120,136
No
output
1
60,068
5
120,137
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dima got into number sequences. Now he's got sequence a1, a2, ..., an, consisting of n positive integers. Also, Dima has got a function f(x), which can be defined with the following recurrence: ...
instruction
0
60,069
5
120,138
No
output
1
60,069
5
120,139
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dima got into number sequences. Now he's got sequence a1, a2, ..., an, consisting of n positive integers. Also, Dima has got a function f(x), which can be defined with the following recurrence: ...
instruction
0
60,070
5
120,140
No
output
1
60,070
5
120,141
Provide tags and a correct Python 3 solution for this coding contest problem. Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem. Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f is defined in integer points 1, ..., x, and al...
instruction
0
60,268
5
120,536
Tags: constructive algorithms, dsu, math Correct Solution: ``` import sys from collections import defaultdict def debug(x, table): for name, val in table.items(): if x is val: print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr) return None def solve(): n = int(input()) ...
output
1
60,268
5
120,537
Provide tags and a correct Python 3 solution for this coding contest problem. Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem. Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f is defined in integer points 1, ..., x, and al...
instruction
0
60,269
5
120,538
Tags: constructive algorithms, dsu, math Correct Solution: ``` n = int(input()) f = [int(x) - 1 for x in input().split()] p = [-1] * n g = [0] * n h = [0] * n m = 0 for i in range(n): if f[i] == i: p[i] = m h[m] = i + 1 m += 1 h = h[:m] for i in range(n): if p[f[i]] == -1: prin...
output
1
60,269
5
120,539
Provide tags and a correct Python 3 solution for this coding contest problem. Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem. Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f is defined in integer points 1, ..., x, and al...
instruction
0
60,270
5
120,540
Tags: constructive algorithms, dsu, math Correct Solution: ``` import bisect n = int(input()) f = [0] + list(map(int, input().split())) possible = True for x in range(1, n + 1): if f[f[x]] != f[x]: possible = False break if possible: h = sorted(set(f)) g = [0] for x in range(1, n+1): ...
output
1
60,270
5
120,541
Provide tags and a correct Python 3 solution for this coding contest problem. Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem. Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f is defined in integer points 1, ..., x, and al...
instruction
0
60,271
5
120,542
Tags: constructive algorithms, dsu, math Correct Solution: ``` n = int(input()) f = [-1] + list(map(int, input().split())) g = [-1]*(n+1) h = [-1] c = 1 for i in range(1, n+1): if(f[i] == i): g[i] = c h += [i] c += 1 hinv = {} m = len(h)-1 for i in range(1, m+1): hinv[h[i]] = i for i in range(1, n+1): if(g[i...
output
1
60,271
5
120,543
Provide tags and a correct Python 3 solution for this coding contest problem. Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem. Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f is defined in integer points 1, ..., x, and al...
instruction
0
60,272
5
120,544
Tags: constructive algorithms, dsu, math Correct Solution: ``` import sys n = int(input()) s = input().split() a = [int(i) for i in s] a.insert(0,0) hash = [0 for i in range(n+1)] g = [0 for i in range(n+1)] h = [0 for i in range(n+1)] index = 1 for i in range(1, n+1): if hash[a[i]] == 0: if index>n: print(-1)...
output
1
60,272
5
120,545
Provide tags and a correct Python 3 solution for this coding contest problem. Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem. Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f is defined in integer points 1, ..., x, and al...
instruction
0
60,275
5
120,550
Tags: constructive algorithms, dsu, math Correct Solution: ``` n = int(input()) f = [y for y in map(int, input().split())] im_f = list(set(f)) ok = True for y in im_f: index = y - 1 ok &= f[index] == y if ok: m = len(im_f) ind = {} for i, y in enumerate(im_f): ind[y] = i + 1 print(m) ...
output
1
60,275
5
120,551
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem. Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f...
instruction
0
60,276
5
120,552
Yes
output
1
60,276
5
120,553
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem. Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f...
instruction
0
60,277
5
120,554
Yes
output
1
60,277
5
120,555
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem. Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f...
instruction
0
60,278
5
120,556
Yes
output
1
60,278
5
120,557
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem. Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f...
instruction
0
60,279
5
120,558
Yes
output
1
60,279
5
120,559
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem. Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f...
instruction
0
60,280
5
120,560
No
output
1
60,280
5
120,561
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem. Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f...
instruction
0
60,281
5
120,562
No
output
1
60,281
5
120,563
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem. Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f...
instruction
0
60,282
5
120,564
No
output
1
60,282
5
120,565
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem. Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f...
instruction
0
60,283
5
120,566
No
output
1
60,283
5
120,567
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote a function <image> You are given an array a consisting of n integers. You have to calculate the sum of d(ai, aj) over all pairs (i, j) such that 1 ≤ i ≤ j ≤ n. Input The first ...
instruction
0
60,356
5
120,712
Yes
output
1
60,356
5
120,713
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote a function <image> You are given an array a consisting of n integers. You have to calculate the sum of d(ai, aj) over all pairs (i, j) such that 1 ≤ i ≤ j ≤ n. Input The first ...
instruction
0
60,357
5
120,714
Yes
output
1
60,357
5
120,715
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote a function <image> You are given an array a consisting of n integers. You have to calculate the sum of d(ai, aj) over all pairs (i, j) such that 1 ≤ i ≤ j ≤ n. Input The first ...
instruction
0
60,358
5
120,716
Yes
output
1
60,358
5
120,717
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote a function <image> You are given an array a consisting of n integers. You have to calculate the sum of d(ai, aj) over all pairs (i, j) such that 1 ≤ i ≤ j ≤ n. Input The first ...
instruction
0
60,359
5
120,718
Yes
output
1
60,359
5
120,719
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote a function <image> You are given an array a consisting of n integers. You have to calculate the sum of d(ai, aj) over all pairs (i, j) such that 1 ≤ i ≤ j ≤ n. Input The first ...
instruction
0
60,360
5
120,720
No
output
1
60,360
5
120,721
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote a function <image> You are given an array a consisting of n integers. You have to calculate the sum of d(ai, aj) over all pairs (i, j) such that 1 ≤ i ≤ j ≤ n. Input The first ...
instruction
0
60,361
5
120,722
No
output
1
60,361
5
120,723
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote a function <image> You are given an array a consisting of n integers. You have to calculate the sum of d(ai, aj) over all pairs (i, j) such that 1 ≤ i ≤ j ≤ n. Input The first ...
instruction
0
60,362
5
120,724
No
output
1
60,362
5
120,725
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's denote a function <image> You are given an array a consisting of n integers. You have to calculate the sum of d(ai, aj) over all pairs (i, j) such that 1 ≤ i ≤ j ≤ n. Input The first ...
instruction
0
60,363
5
120,726
No
output
1
60,363
5
120,727
Provide a correct Python 3 solution for this coding contest problem. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is given from Standard Input in the following format: N O...
instruction
0
60,383
5
120,766
"Correct Solution: ``` n = int(input()) ans=0 for i in range(1,n): ans+=int((n-1)/i) print(ans) ```
output
1
60,383
5
120,767
Provide a correct Python 3 solution for this coding contest problem. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is given from Standard Input in the following format: N O...
instruction
0
60,384
5
120,768
"Correct Solution: ``` N=int(input()) s=0 for i in range(1,N): s+=(N-1)//i print(s) ```
output
1
60,384
5
120,769
Provide a correct Python 3 solution for this coding contest problem. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is given from Standard Input in the following format: N O...
instruction
0
60,385
5
120,770
"Correct Solution: ``` N=int(input()) ans=0 for i in range(1,N): ans+=(N-1)//i #print(N//i) print(ans) ```
output
1
60,385
5
120,771
Provide a correct Python 3 solution for this coding contest problem. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is given from Standard Input in the following format: N O...
instruction
0
60,386
5
120,772
"Correct Solution: ``` n=int(input()) count=0 for i in range(1,n): count+=int((n-1)/i) print(int(count)) ```
output
1
60,386
5
120,773
Provide a correct Python 3 solution for this coding contest problem. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is given from Standard Input in the following format: N O...
instruction
0
60,387
5
120,774
"Correct Solution: ``` n=int(input()) ans=0 for i in range(1,n): ans+=-(-n//i)-1 print(ans) ```
output
1
60,387
5
120,775
Provide a correct Python 3 solution for this coding contest problem. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is given from Standard Input in the following format: N O...
instruction
0
60,388
5
120,776
"Correct Solution: ``` n=int(input()) ar=0 for i in range(1,n+1): ar+=(n-1)//i print(ar) ```
output
1
60,388
5
120,777
Provide a correct Python 3 solution for this coding contest problem. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is given from Standard Input in the following format: N O...
instruction
0
60,389
5
120,778
"Correct Solution: ``` n = int(input()) a = 0 for i in range(1,n): for j in range(i,n,i): a+=1 print(a) ```
output
1
60,389
5
120,779
Provide a correct Python 3 solution for this coding contest problem. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is given from Standard Input in the following format: N O...
instruction
0
60,390
5
120,780
"Correct Solution: ``` n=int(input()) s=0 for c in range(1,n): s+=(n-1)//c print(s) ```
output
1
60,390
5
120,781
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is gi...
instruction
0
60,391
5
120,782
Yes
output
1
60,391
5
120,783
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is gi...
instruction
0
60,392
5
120,784
Yes
output
1
60,392
5
120,785
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is gi...
instruction
0
60,393
5
120,786
Yes
output
1
60,393
5
120,787
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is gi...
instruction
0
60,394
5
120,788
Yes
output
1
60,394
5
120,789
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is gi...
instruction
0
60,396
5
120,792
No
output
1
60,396
5
120,793
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is gi...
instruction
0
60,397
5
120,794
No
output
1
60,397
5
120,795
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N? Constraints * 2 \leq N \leq 10^6 * All values in input are integers. Input Input is gi...
instruction
0
60,398
5
120,796
No
output
1
60,398
5
120,797
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor d...
instruction
0
60,536
5
121,072
Yes
output
1
60,536
5
121,073
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor d...
instruction
0
60,538
5
121,076
Yes
output
1
60,538
5
121,077
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor d...
instruction
0
60,539
5
121,078
No
output
1
60,539
5
121,079
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor d...
instruction
0
60,540
5
121,080
No
output
1
60,540
5
121,081