message stringlengths 2 44.5k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 42 109k | cluster float64 5 5 | __index_level_0__ int64 84 217k |
|---|---|---|---|---|---|
Provide a correct Python 3 solution for this coding contest problem.
Print all combinations which can be made by $k$ different elements from $0, 1, ..., n-1$. Note that we represent $0, 1, ... n-1$ as 00...0001, 00...0010, 00...0100, ..., 10...0000 in binary respectively and the integer representation of a combination is calculated by bitwise OR of the selected elements.
Constraints
* $1 \leq n \leq 18$
* $k \leq n$
Input
The input is given in the following format.
$n \; k$
Output
Print the combinations ordered by their decimal integers. Print a combination in the following format.
$d$: $e_0$ $e_1$ ...
Print ':' after the integer value $d$, then print elements $e_i$ in the combination in ascending order. Separate two adjacency elements by a space character.
Example
Input
5 3
Output
7: 0 1 2
11: 0 1 3
13: 0 2 3
14: 1 2 3
19: 0 1 4
21: 0 2 4
22: 1 2 4
25: 0 3 4
26: 1 3 4
28: 2 3 4 | instruction | 0 | 56,401 | 5 | 112,802 |
"Correct Solution:
```
n, k = map(int, input().split())
ans = []
for i in range(2**n):
cnt = 0
for j in range(n):
if i>>j&1 ==1:
cnt += 1
if cnt == k:
st = []
for t in range(n):
if i>>t&1 ==1:
st.append(t)
print("{}:".format(i),end =" ")
print(*st)
``` | output | 1 | 56,401 | 5 | 112,803 |
Provide a correct Python 3 solution for this coding contest problem.
Print all combinations which can be made by $k$ different elements from $0, 1, ..., n-1$. Note that we represent $0, 1, ... n-1$ as 00...0001, 00...0010, 00...0100, ..., 10...0000 in binary respectively and the integer representation of a combination is calculated by bitwise OR of the selected elements.
Constraints
* $1 \leq n \leq 18$
* $k \leq n$
Input
The input is given in the following format.
$n \; k$
Output
Print the combinations ordered by their decimal integers. Print a combination in the following format.
$d$: $e_0$ $e_1$ ...
Print ':' after the integer value $d$, then print elements $e_i$ in the combination in ascending order. Separate two adjacency elements by a space character.
Example
Input
5 3
Output
7: 0 1 2
11: 0 1 3
13: 0 2 3
14: 1 2 3
19: 0 1 4
21: 0 2 4
22: 1 2 4
25: 0 3 4
26: 1 3 4
28: 2 3 4 | instruction | 0 | 56,402 | 5 | 112,804 |
"Correct Solution:
```
from itertools import combinations
n, k = map(int, input().split())
for n, combi in sorted([(sum([1<<b for b in c]), ' '.join(map(str, c))) for c in combinations(range(n), k)]):
print(f'{n}: {combi}')
``` | output | 1 | 56,402 | 5 | 112,805 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Print all combinations which can be made by $k$ different elements from $0, 1, ..., n-1$. Note that we represent $0, 1, ... n-1$ as 00...0001, 00...0010, 00...0100, ..., 10...0000 in binary respectively and the integer representation of a combination is calculated by bitwise OR of the selected elements.
Constraints
* $1 \leq n \leq 18$
* $k \leq n$
Input
The input is given in the following format.
$n \; k$
Output
Print the combinations ordered by their decimal integers. Print a combination in the following format.
$d$: $e_0$ $e_1$ ...
Print ':' after the integer value $d$, then print elements $e_i$ in the combination in ascending order. Separate two adjacency elements by a space character.
Example
Input
5 3
Output
7: 0 1 2
11: 0 1 3
13: 0 2 3
14: 1 2 3
19: 0 1 4
21: 0 2 4
22: 1 2 4
25: 0 3 4
26: 1 3 4
28: 2 3 4
Submitted Solution:
```
import sys
readline = sys.stdin.readline
write = sys.stdout.write
N, K = map(int, readline().split())
R = []
v = (1 << K) - 1
while v < (1 << N):
R.append(v)
x = v & -v; y = v + x
v = ((v & ~y) // x >> 1) | y
R.sort()
for i in R:
write("%d: %s\n" % (i, " ".join(str(j) for j in range(N) if i & (1 << j))))
``` | instruction | 0 | 56,403 | 5 | 112,806 |
Yes | output | 1 | 56,403 | 5 | 112,807 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Print all combinations which can be made by $k$ different elements from $0, 1, ..., n-1$. Note that we represent $0, 1, ... n-1$ as 00...0001, 00...0010, 00...0100, ..., 10...0000 in binary respectively and the integer representation of a combination is calculated by bitwise OR of the selected elements.
Constraints
* $1 \leq n \leq 18$
* $k \leq n$
Input
The input is given in the following format.
$n \; k$
Output
Print the combinations ordered by their decimal integers. Print a combination in the following format.
$d$: $e_0$ $e_1$ ...
Print ':' after the integer value $d$, then print elements $e_i$ in the combination in ascending order. Separate two adjacency elements by a space character.
Example
Input
5 3
Output
7: 0 1 2
11: 0 1 3
13: 0 2 3
14: 1 2 3
19: 0 1 4
21: 0 2 4
22: 1 2 4
25: 0 3 4
26: 1 3 4
28: 2 3 4
Submitted Solution:
```
from itertools import combinations
n, k = map(int, input(). split())
l = [i for i in range(n)]
p = []
for i in combinations(l, k):
num = 0
for j in i:
num |= 1 << j
p.append((num, i))
p.sort()
for i, j in p:
print("{}: ".format(i), end="")
print(*j)
``` | instruction | 0 | 56,404 | 5 | 112,808 |
Yes | output | 1 | 56,404 | 5 | 112,809 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Print all combinations which can be made by $k$ different elements from $0, 1, ..., n-1$. Note that we represent $0, 1, ... n-1$ as 00...0001, 00...0010, 00...0100, ..., 10...0000 in binary respectively and the integer representation of a combination is calculated by bitwise OR of the selected elements.
Constraints
* $1 \leq n \leq 18$
* $k \leq n$
Input
The input is given in the following format.
$n \; k$
Output
Print the combinations ordered by their decimal integers. Print a combination in the following format.
$d$: $e_0$ $e_1$ ...
Print ':' after the integer value $d$, then print elements $e_i$ in the combination in ascending order. Separate two adjacency elements by a space character.
Example
Input
5 3
Output
7: 0 1 2
11: 0 1 3
13: 0 2 3
14: 1 2 3
19: 0 1 4
21: 0 2 4
22: 1 2 4
25: 0 3 4
26: 1 3 4
28: 2 3 4
Submitted Solution:
```
from itertools import combinations
n,k = map(int,input().split())
num = [i for i in range(n)]
ans = []
for i in combinations(num,k):
comb = list(i)
comb.reverse()
s = 0
for j in comb:
s += 2**j
ans.append([s,list(i)])
ans.sort()
for i,j in ans:
print(str(i)+":",*j)
``` | instruction | 0 | 56,405 | 5 | 112,810 |
Yes | output | 1 | 56,405 | 5 | 112,811 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Print all combinations which can be made by $k$ different elements from $0, 1, ..., n-1$. Note that we represent $0, 1, ... n-1$ as 00...0001, 00...0010, 00...0100, ..., 10...0000 in binary respectively and the integer representation of a combination is calculated by bitwise OR of the selected elements.
Constraints
* $1 \leq n \leq 18$
* $k \leq n$
Input
The input is given in the following format.
$n \; k$
Output
Print the combinations ordered by their decimal integers. Print a combination in the following format.
$d$: $e_0$ $e_1$ ...
Print ':' after the integer value $d$, then print elements $e_i$ in the combination in ascending order. Separate two adjacency elements by a space character.
Example
Input
5 3
Output
7: 0 1 2
11: 0 1 3
13: 0 2 3
14: 1 2 3
19: 0 1 4
21: 0 2 4
22: 1 2 4
25: 0 3 4
26: 1 3 4
28: 2 3 4
Submitted Solution:
```
from itertools import combinations
n, k = [int(x) for x in input().split()]
L = [ x for x in range(n)]
p =[]
for l in (combinations(L, k)):
num = 0
for i in l:
num |= 1<<i
p.append((num,l))
p.sort()
for i, l in p:
print("{}: ".format(i), end="")
print( *l)
``` | instruction | 0 | 56,406 | 5 | 112,812 |
Yes | output | 1 | 56,406 | 5 | 112,813 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There was once young lass called Mary,
Whose jokes were occasionally scary.
On this April's Fool
Fixed limerick rules
Allowed her to trip the unwary.
Can she fill all the lines
To work at all times?
On juggling the words
Right around two-thirds
She nearly ran out of rhymes.
Input
The input contains a single integer a (4 ≤ a ≤ 998). Not every integer in the range is a valid input for the problem; you are guaranteed that the input will be a valid integer.
Output
Output a single number.
Examples
Input
35
Output
57
Input
57
Output
319
Input
391
Output
1723
Submitted Solution:
```
import sys,bisect
from math import gcd
input = sys.stdin.readline
############ ---- USER DEFINED INPUT FUNCTIONS ---- ############
def inp():
return(int(input().rstrip()))
def inlt():
return(list(map(int,input().rstrip().split())))
def insr():
s = input().rstrip()
return(s[:len(s) - 1])
def invr():
return(map(int,input().rstrip().split()))
################################################################
############ ---- THE ACTUAL CODE STARTS BELOW ---- ############
primes = []
for j in range(2,1000):
for i in range(2,j):
if (j % i) == 0:
break
else:
primes.append(j)
n = inp()
for i in primes:
if n%i == 0:
print(str(i) + str(n//i))
break
``` | instruction | 0 | 56,533 | 5 | 113,066 |
Yes | output | 1 | 56,533 | 5 | 113,067 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
After you have read all the problems, probably, you think Alex is genius person. That's true! One day he came up with the following task.
Given a sequence of integer numbers a1, a2, ..., an. You are to find a longest sequence b1, b2, ..., b4m, that satisfies the following conditions:
* b4k + 1 = b4k + 3 for all valid integer k;
* b4k + 2 = b4k + 4 for all valid integer k;
* sequence b is subsequence of a (not necessarily contiguous subsequence).
And finally... Alex had given this complicated task to George, and George gave it to you. Help George to cope with the task.
Input
The first line contains a single integer n (1 ≤ n ≤ 5·105). The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109).
Output
In the first line print a single integer 4m — the maximal possible length of required sequence b. In the second line print 4m integers b1, b2, ..., b4m, that is required sequence.
If there are multiple optimal answers you may print any of them.
Examples
Input
4
3 5 3 5
Output
4
3 5 3 5
Input
10
35 1 2 1 2 35 100 200 100 200
Output
8
1 2 1 2 100 200 100 200
Submitted Solution:
```
def bib(n):
k=0
if(len(n)%4==0):
sh=len(n)//4-1
while(k<=sh):
k_=k*4
if(n[k_]==n[k_+2] and n[k_+1]==n[k_+3]):
k+=1
else:
k=sh+10
if k==sh+1:
return(1)
else:
return(0)
else:
return(0)
def hazf(l,k):
n_l=[[]]*(len(l)-1)
i=0
while(i<len(n_l)):
n_l[i]=0
i+=1
i=0
ii=0
f=0
while(i<len(l)):
if(l[i]!=k):
n_l[ii]=l[i]
ii+=1
if(l[i]==k and f==1):
n_l[ii]=l[i]
ii+=1
if(l[i]==k and f==0):
f=1
i+=1
return(n_l)
def joft(n):
s=1
while(n and s):
i=n[0]
n=hazf(n,n[0])
if((i in n)!=1):
return i
s=0
else:
n=hazf(n,i)
k=0
if(s):
return(0)
def j_f(n):
i=0
f=0
while(i<len(n)):
ii=i+1
while(ii<len(n)):
if(n[ii]==n[i] and (ii-i==1 or ii-i>2)):
ic=ii
n=hazf(n,n[i])
ii=ic
n=hazf(n,n[ii-1])
ii=len(n)+10
else:
ii+=1
if(ii==len(n)+10):
return(n)
f=1
i=len(n)
i+=1
if(f==0):
return(n)
#print(joft([35, 1 ,2 ,1,2,35, 100, 200 ,100 ,200]))
n=int(input())
l=[[]]*n
l=list(map(int,input().split(" ")))
i=0
while(bib(l)==0 and joft(l)):
l=hazf(l,joft(l))
if(bib(l)==1):
print(len(l))
i=0
while(i<len(l)):
print(l[i],end=" ")
i+=1
else:
while(bib(l)==0):
l=j_f(l)
print(len(l))
i=0
while(i<len(l)):
print(l[i],end=" ")
i+=1
``` | instruction | 0 | 56,705 | 5 | 113,410 |
No | output | 1 | 56,705 | 5 | 113,411 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
After you have read all the problems, probably, you think Alex is genius person. That's true! One day he came up with the following task.
Given a sequence of integer numbers a1, a2, ..., an. You are to find a longest sequence b1, b2, ..., b4m, that satisfies the following conditions:
* b4k + 1 = b4k + 3 for all valid integer k;
* b4k + 2 = b4k + 4 for all valid integer k;
* sequence b is subsequence of a (not necessarily contiguous subsequence).
And finally... Alex had given this complicated task to George, and George gave it to you. Help George to cope with the task.
Input
The first line contains a single integer n (1 ≤ n ≤ 5·105). The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109).
Output
In the first line print a single integer 4m — the maximal possible length of required sequence b. In the second line print 4m integers b1, b2, ..., b4m, that is required sequence.
If there are multiple optimal answers you may print any of them.
Examples
Input
4
3 5 3 5
Output
4
3 5 3 5
Input
10
35 1 2 1 2 35 100 200 100 200
Output
8
1 2 1 2 100 200 100 200
Submitted Solution:
```
def bib(n):
k=0
if(len(n)%4==0):
sh=len(n)//4-1
while(k<=sh):
k_=k*4
if(n[k_]==n[k_+2] and n[k_+1]==n[k_+3]):
k+=1
else:
k=sh+10
if k==sh+1:
return(1)
else:
return(0)
else:
return(0)
def hazf(l,k):
n_l=[[]]*(len(l)-1)
i=0
while(i<len(n_l)):
n_l[i]=0
i+=1
i=0
ii=0
f=0
while(i<len(l)):
if(l[i]!=k):
n_l[ii]=l[i]
ii+=1
if(l[i]==k and f==1):
n_l[ii]=l[i]
ii+=1
if(l[i]==k and f==0):
f=1
i+=1
return(n_l)
def joft(n):
s=1
while(n and s):
i=n[0]
n=hazf(n,n[0])
if((i in n)!=1):
return i
s=0
else:
k=0
if(s):
return(0)
def j_f(n):
i=0
f=0
while(i<len(n)):
ii=i+1
while(ii<len(n)):
if(n[ii]==n[i] and (ii-i==1 or ii-i>2)):
ic=ii
n=hazf(n,n[i])
ii=ic
n=hazf(n,n[ii-1])
ii=len(n)+10
else:
ii+=1
if(ii==len(n)+10):
return(n)
f=1
i=len(n)
i+=1
if(f==0):
return(n)
#print(joft([9,8,13,7,4,9,8]))
n=int(input())
l=[[]]*n
l=list(map(int,input().split(" ")))
i=0
while(bib(l)==0):
l=hazf(l,joft(l))
if(bib(l)==1):
print(len(l))
i=0
while(i<len(l)):
print(l[i],end=" ")
i+=1
else:
#print(joft(l))
while(bib(l)==0):
l=j_f(l)
print(len(l))
i=0
while(i<len(l)):
print(l[i],end=" ")
i+=1
``` | instruction | 0 | 56,706 | 5 | 113,412 |
No | output | 1 | 56,706 | 5 | 113,413 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
After you have read all the problems, probably, you think Alex is genius person. That's true! One day he came up with the following task.
Given a sequence of integer numbers a1, a2, ..., an. You are to find a longest sequence b1, b2, ..., b4m, that satisfies the following conditions:
* b4k + 1 = b4k + 3 for all valid integer k;
* b4k + 2 = b4k + 4 for all valid integer k;
* sequence b is subsequence of a (not necessarily contiguous subsequence).
And finally... Alex had given this complicated task to George, and George gave it to you. Help George to cope with the task.
Input
The first line contains a single integer n (1 ≤ n ≤ 5·105). The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109).
Output
In the first line print a single integer 4m — the maximal possible length of required sequence b. In the second line print 4m integers b1, b2, ..., b4m, that is required sequence.
If there are multiple optimal answers you may print any of them.
Examples
Input
4
3 5 3 5
Output
4
3 5 3 5
Input
10
35 1 2 1 2 35 100 200 100 200
Output
8
1 2 1 2 100 200 100 200
Submitted Solution:
```
a = int(input())
k = 19
x = (45 * k * 10**(k-1))% a
l = a - x
r = l + 10**k - 1
print(l, r)
``` | instruction | 0 | 56,707 | 5 | 113,414 |
No | output | 1 | 56,707 | 5 | 113,415 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let’s take a prime P = 200\,003. You are given N integers A_1, A_2, \ldots, A_N. Find the sum of ((A_i \cdot A_j) \bmod P) over all N \cdot (N-1) / 2 unordered pairs of elements (i < j).
Please note that the sum isn't computed modulo P.
Constraints
* 2 \leq N \leq 200\,000
* 0 \leq A_i < P = 200\,003
* All values in input are integers.
Input
Input is given from Standard Input in the following format.
N
A_1 A_2 \cdots A_N
Output
Print one integer — the sum over ((A_i \cdot A_j) \bmod P).
Examples
Input
4
2019 0 2020 200002
Output
474287
Input
5
1 1 2 2 100000
Output
600013
Submitted Solution:
```
import math
def inverse(a, mod):
a %= mod
p = mod
x, y = 0, 1
while a > 0:
n = p // a
p, a = a, p % a,
x, y = y, x - n * y
return x % mod
n = int(input())
a = list(map(int, input().split()))
a.sort()
mod = 200003
imos = [0] * (mod + 1)
s = 0
for x in a:
s = (s + x)
imos[x] += 1
for i in range(len(imos)-1, 0, -1):
imos[i - 1] += imos[i]
ans = 0
for x in a:
if x == 0:
continue
ans += x * (s - x)
for i in range(1, mod + 1):
y0 = math.ceil(mod * i / x)
y1 = math.ceil(mod * (i + 1) / x)
ans -= i * mod * (imos[y0] - imos[min(mod, y1)])
if y0 <= x < y1:
ans += i * mod
if y1 > 200000:
break
print(ans // 2)
``` | instruction | 0 | 56,924 | 5 | 113,848 |
No | output | 1 | 56,924 | 5 | 113,849 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let’s take a prime P = 200\,003. You are given N integers A_1, A_2, \ldots, A_N. Find the sum of ((A_i \cdot A_j) \bmod P) over all N \cdot (N-1) / 2 unordered pairs of elements (i < j).
Please note that the sum isn't computed modulo P.
Constraints
* 2 \leq N \leq 200\,000
* 0 \leq A_i < P = 200\,003
* All values in input are integers.
Input
Input is given from Standard Input in the following format.
N
A_1 A_2 \cdots A_N
Output
Print one integer — the sum over ((A_i \cdot A_j) \bmod P).
Examples
Input
4
2019 0 2020 200002
Output
474287
Input
5
1 1 2 2 100000
Output
600013
Submitted Solution:
```
import numpy as np
from numpy.fft import rfft,irfft
p = 200003
N = int(input())
A = list(map(int,input().split()))
a = np.zeros(2*p)
g = 1
d = {}
p2 = [1]*p
for i in range(p):
d[g] = i
p2[i] = g
g *= 2
g %= p
for i in range(N):
if A[i]==0:
continue
a[d[A[i]]] += 1
b = rfft(a)
b = irfft(b*b)
b = [int(x+0.5) for x in b]
ans = 0
for i in range(p):
ans += (b[i]+b[i+p-1])*p2[i]
for i in range(N):
ans -= A[i]**2%p
ans //= 2
print(ans)
``` | instruction | 0 | 56,925 | 5 | 113,850 |
No | output | 1 | 56,925 | 5 | 113,851 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let’s take a prime P = 200\,003. You are given N integers A_1, A_2, \ldots, A_N. Find the sum of ((A_i \cdot A_j) \bmod P) over all N \cdot (N-1) / 2 unordered pairs of elements (i < j).
Please note that the sum isn't computed modulo P.
Constraints
* 2 \leq N \leq 200\,000
* 0 \leq A_i < P = 200\,003
* All values in input are integers.
Input
Input is given from Standard Input in the following format.
N
A_1 A_2 \cdots A_N
Output
Print one integer — the sum over ((A_i \cdot A_j) \bmod P).
Examples
Input
4
2019 0 2020 200002
Output
474287
Input
5
1 1 2 2 100000
Output
600013
Submitted Solution:
```
# Coding is about expressing your feeling and there is always a better way to express your feeling _feelme
import sys,math
try:sys.stdin,sys.stdout=open('input.txt','r'),open('out.txt','w')
except:pass
from sys import stdin,stdout;mod=int(1e9 + 7);from statistics import mode
from collections import *;from math import ceil,floor,inf,factorial,gcd,log2,sqrt,log
ii1=lambda:int(stdin.readline().strip())
is1=lambda:stdin.readline().strip()
iia=lambda:list(map(int,stdin.readline().strip().split()))
isa=lambda:stdin.readline().strip().split()
# print('{:.3f}'.format(1),round(1.123456789,4))
# sys.setrecursionlimit(500000)
def lcm(a,b): return (a*b)//gcd(a,b)
def setbits(n):return bin(n).count('1')
def resetbits(n):return bin(n).count('0')
def modinv(n,p):return pow(n,p-2,p)
def ncr(n,r):
num,den=1,1;r=min(n,n-r)
for i in range(r):num*=(n-i);den*=(i+1)
return num//den
def ncr_p(n, r, p):
num,den=1,1;r=min(r,n-r)
for i in range(r):num = (num * (n - i)) % p ;den = (den * (i + 1)) % p
return (num * modinv(den,p)) % p
def isPrime(num) :
if num<=1:return False
if num==2 or n==3:return True
if (num % 2 == 0 or num % 3 == 0) :return False
m = int(num**0.5)+1
for i in range(5,m,6):
if (num % i == 0 or num % (i + 2) == 0) :return False
return True
def bin_search(arr, low, high, val):
while low <= high:
mid = low + (high - low) // 2;
if arr[mid] == val:return mid
elif arr[mid] < val:low = mid + 1
else:high = mid - 1
return -1
def sumofdigit(num):
count=0;
while num : count+=num % 10;num //= 10;
return count;
def inputmatrix():
r,c=iia();mat=[0]*r;
for i in range(r):mat[i]=iia();
return r,c,mat;
def prefix_sum(n,arr):
for i in range(1,n):arr[i]+=arr[i-1]
return arr;
def binomial(n, k):
if 0 <= k <= n:
ntok = 1;ktok = 1
for t in range(1, min(k, n - k) + 1):ntok *= n;ktok *= t;n -= 1
return ntok // ktok
else:return 0
def divisors(n):
res = [];
for i in range(1,ceil(sqrt(n))+1):
if n%i == 0:
if i==n//i:res.append(i)
else:res.append(i);res.append(n//i)
return res;
# @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ code here @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
mod=200003
n = ii1()
arr = iia()
s=0
dp=[0]*(n)
cache=0
modd=mod
for i in range(n-1,-1,-1):
s+=arr[i]
dp[i]=s
# print(dp)
ans=0
for i in range(n-1):
ans+=(((arr[i])*(dp[i+1]))+mod)%mod
cache+=ans//mod
print(ans+mod*cache)
'''
474287
'''
``` | instruction | 0 | 56,926 | 5 | 113,852 |
No | output | 1 | 56,926 | 5 | 113,853 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let’s take a prime P = 200\,003. You are given N integers A_1, A_2, \ldots, A_N. Find the sum of ((A_i \cdot A_j) \bmod P) over all N \cdot (N-1) / 2 unordered pairs of elements (i < j).
Please note that the sum isn't computed modulo P.
Constraints
* 2 \leq N \leq 200\,000
* 0 \leq A_i < P = 200\,003
* All values in input are integers.
Input
Input is given from Standard Input in the following format.
N
A_1 A_2 \cdots A_N
Output
Print one integer — the sum over ((A_i \cdot A_j) \bmod P).
Examples
Input
4
2019 0 2020 200002
Output
474287
Input
5
1 1 2 2 100000
Output
600013
Submitted Solution:
```
n = int(input())
a = list(map(int,input().split()))
p = 200003
ans = 0
for i in range(n):
for j in range(1,n - i):
ans += a[i]*a[i + j] % p
print(ans)
``` | instruction | 0 | 56,927 | 5 | 113,854 |
No | output | 1 | 56,927 | 5 | 113,855 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8 | instruction | 0 | 56,944 | 5 | 113,888 |
"Correct Solution:
```
def main():
n,k=map(int,input().split())
a=list(map(int,input().split()))
a=[i-1 for i in a]
from itertools import accumulate
import bisect
a=[0]+list(accumulate(a))
d=dict()
a=[i%k for i in a]
cnt=0
for j,i in enumerate(a):
if i not in d.keys():
d[i]=[j]
else:
d[i].append(j)
for l in d.values():
for j,i in enumerate(l):
cnt+=bisect.bisect_left(l,i+k)-j-1
print(cnt)
main()
``` | output | 1 | 56,944 | 5 | 113,889 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8 | instruction | 0 | 56,946 | 5 | 113,892 |
"Correct Solution:
```
n,k=map(int,input().split())
a=list(map(lambda x:(int(x)-1)%k,input().split()))
s=[0]
for i in a:
s.append((s[-1]+i)%k)
mp={}
ans=0
for i in range(len(s)):
if i-k>=0:
mp[s[i-k]]-=1
if s[i] in mp:
ans+=mp[s[i]]
mp[s[i]]+=1
else:
mp[s[i]]=1
print(ans)
``` | output | 1 | 56,946 | 5 | 113,893 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8 | instruction | 0 | 56,947 | 5 | 113,894 |
"Correct Solution:
```
import collections
n,k=map(int,input().split())
a=list(map(int,input().split()))
m=[0]
for i in range(n):
m.append((m[-1]+a[i]))
for i in range(n+1):
m[i]-=i
m[i]%=k
ans=0
dict=collections.defaultdict(int)
for i in range(1,n+1):
x=m[i]
if i<=k-1:
dict[m[i-1]]+=1
else:
dict[m[i-1]]+=1
dict[m[i-k]]-=1
ans+=dict[x]
print(ans)
``` | output | 1 | 56,947 | 5 | 113,895 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8 | instruction | 0 | 56,948 | 5 | 113,896 |
"Correct Solution:
```
n,k=map(int,input().split())
a=[0]+list(map(int,input().split()))
for i in range(n):a[i+1]=(a[i+1]+a[i]-1)%k
from collections import defaultdict
d=defaultdict(int)
x=0
d[0]=1
for i in range(1,n+1):
if i-k>=0:d[a[i-k]]-=1
x+=d[a[i]]
d[a[i]]+=1
print(x)
``` | output | 1 | 56,948 | 5 | 113,897 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8 | instruction | 0 | 56,949 | 5 | 113,898 |
"Correct Solution:
```
n,k=map(int,input().split())
a=list(map(int,input().split()))
current=[0]
dic={}
dic[0]=1
ans=0
for i in range(n):
current.append((current[-1]+a[i]-1)%k)
if i>=k-1:
dic[current[-k-1]]-=1
if current[-1] in dic:
ans+=dic[current[-1]]
dic[current[-1]]+=1
else:
dic[current[-1]]=1
print(ans)
``` | output | 1 | 56,949 | 5 | 113,899 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8 | instruction | 0 | 56,950 | 5 | 113,900 |
"Correct Solution:
```
from collections import defaultdict
n, k = map(int, input().split())
a = list(map(int, input().split()))
a_cs = [0] * (n + 1)
for i in range(n):
a_cs[i + 1] = a_cs[i] + a[i]
ans = 0
d = defaultdict(int)
for j in range(n + 1):
if j - k >= 0:
d[(a_cs[j - k] - (j - k)) % k] -= 1
# print(j, d, d[(a_cs[j] - j) % k])
ans += d[(a_cs[j] - j) % k]
d[(a_cs[j] - j) % k] += 1
print(ans)
``` | output | 1 | 56,950 | 5 | 113,901 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8 | instruction | 0 | 56,951 | 5 | 113,902 |
"Correct Solution:
```
from collections import defaultdict
N, K, *A = map(int, open(0).read().split())
x = [0] * (N + 1)
for i in range(N):
x[i + 1] = x[i] + A[i]
y = [(x[i] - i) % K for i in range(N + 1)]
ctr = defaultdict(int)
ans = 0
for j in range(N + 1):
ans += ctr[y[j]]
ctr[y[j]] += 1
if j - K + 1 >= 0:
ctr[y[j - K + 1]] -= 1
print(ans)
``` | output | 1 | 56,951 | 5 | 113,903 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8
Submitted Solution:
```
from collections import defaultdict
n, k = map(int, input().split())
a = list(map(lambda x: int(x) - 1, input().split()))
s = [0] * (n + 1)
for i in range(n):
s[i + 1] = (s[i] + a[i]) % k
mp = defaultdict(int)
ans = 0
for i in range(n + 1):
ans += mp[s[i]]
mp[s[i]] += 1
if i >= k - 1:
mp[s[i - k + 1]] -= 1
print(ans)
``` | instruction | 0 | 56,952 | 5 | 113,904 |
Yes | output | 1 | 56,952 | 5 | 113,905 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8
Submitted Solution:
```
n,k=map(int,input().split())
arr=list(map(int,input().split()))
arr=[i-1 for i in arr]
acum=[0]
for i in range(n):
acum.append(acum[-1]+arr[i])
acum=[i%k for i in acum]
ans=0
dic={}
for i in range(n+1):
if acum[i]%k not in dic:
dic[acum[i]]=1
else:
ans+=dic[acum[i]]
dic[acum[i]]+=1
if i>=k-1:
dic[acum[i-k+1]]-=1
print(ans)
``` | instruction | 0 | 56,953 | 5 | 113,906 |
Yes | output | 1 | 56,953 | 5 | 113,907 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8
Submitted Solution:
```
from collections import defaultdict as dd
N, K = map(int, input().split())
A = list(map(int, input().split()))
S = [0]*(N+1)
# 累積和
for i in range(1, N + 1):
S[i] = S[i - 1] + A[i - 1] - 1
S[i] %= K
B = dd(int) # ここで範囲内のS[i]-iの個数を数えていく。
cnt = 0
for j in range(1, N + 1):
B[S[j - 1]] += 1
if j - K >= 0:
B[S[j - K]] -= 1
cnt += B[S[j]]
print(cnt)
``` | instruction | 0 | 56,954 | 5 | 113,908 |
Yes | output | 1 | 56,954 | 5 | 113,909 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8
Submitted Solution:
```
from itertools import accumulate
from collections import defaultdict
N,K = map(int, input().split())
Xs = list(accumulate([0] + [int(x) for x in input().split()]))
Xs = [(x-i)%K for i, x in enumerate(Xs)]
d,r=defaultdict(int),0
for i, x in enumerate(Xs):
d[x]+=1
if i >= K:
d[Xs[i-K]] -= 1
r += d[x]-1
print(r)
``` | instruction | 0 | 56,955 | 5 | 113,910 |
Yes | output | 1 | 56,955 | 5 | 113,911 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8
Submitted Solution:
```
N, K = list(map(int, input().split()))
A = list(map(int, input().split()))
L = [-1] * N
D = {}
D[A[0] % K] = 1
t = A[0] % K
L[0] = t
for i in range(1, min(K - 1, N)):
t = (t + A[i] - 1) % K
if t < 0:
t += K
if t in D:
D[t] += 1
else:
D[t] = 1
L[i] = t
n = 1
if n in D:
ans = D[n]
else:
ans = 0
for i in range(N):
if L[i] != -1:
D[L[i]] -= 1
if i + K - 1 < N:
t = (t + A[i + K - 1] - 1) % K
if t < 0:
t += K
if t in D:
D[t] += 1
else:
D[t] = 1
L[i + K - 1] = t
n = (n - 1 + A[i]) % K
#n -= 1
if n < 0:
n += K
if n in D:
ans += D[n]
print(ans)
``` | instruction | 0 | 56,956 | 5 | 113,912 |
No | output | 1 | 56,956 | 5 | 113,913 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8
Submitted Solution:
```
from collections import Counter
N,K=map(int,input().split())
A=list(map(int,input().split()))
B=[0]
for Ai in A:
B.append((B[-1]+Ai-1)%K)
# print(B) #DB
C=[[] for i in range(K)]
for i in range(N+1):
C[B[i]].append(i)
# print(C) #DB
ans=0
for Ci in C:
m=len(Ci)
if m<2:
continue
l,r=0,1
while True:
if Ci[r]-Ci[l]<K:
ans+=1
if r<m-1:
r+=1
else:
if l==m-2:
break
else:
l+=1
r=l+1
else:
if l==m-2:
break
else:
l+=1
r=l+1
print(ans)
``` | instruction | 0 | 56,957 | 5 | 113,914 |
No | output | 1 | 56,957 | 5 | 113,915 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8
Submitted Solution:
```
import numpy as np
N,K = input().split()
N,K = int(N),int(K)
A = list(map(int,input().split()))
S_j = [0 for i in range(N+1)]
per_Ks = np.array([0 for i in range(N+1)])
def f(j,S_j):
return S_j%K-j
i,j = 0,1
S_j_ = 0
count = 0
for j in range(1,N+1):
j_ = j-1
S_j_ += A[j_]
S_j[j] = S_j_
per_K = (S_j_-j)%K
per_Ks[j] = per_K
max_ = max([0,j-K+1])
count += (per_Ks[max_:j]==per_K).sum()
print(count)
``` | instruction | 0 | 56,958 | 5 | 113,916 |
No | output | 1 | 56,958 | 5 | 113,917 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N positive integers A_1, A_2, \ldots, A_N, and a positive integer K.
Find the number of non-empty contiguous subsequences in A such that the remainder when dividing the sum of its elements by K is equal to the number of its elements. We consider two subsequences different if they are taken from different positions, even if they are equal sequences.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2\times 10^5
* 1 \leq K \leq 10^9
* 1 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 \cdots A_N
Output
Print the number of subsequences that satisfy the condition.
Examples
Input
5 4
1 4 2 3 5
Output
4
Input
8 4
4 2 4 2 4 2 4 2
Output
7
Input
10 7
14 15 92 65 35 89 79 32 38 46
Output
8
Submitted Solution:
```
# -*- coding: utf-8 -*-
from itertools import accumulate
N ,K = map(int, input().split())
A = list(map(int, input().split()))
a = list(accumulate(A))
ans = 0
for i in range(N):
if a[i] % K == i + 1:
ans += 1
for j in range(i):
s = a[i] - a[j]
if s % K == i - j:
ans += 1
print(ans)
``` | instruction | 0 | 56,959 | 5 | 113,918 |
No | output | 1 | 56,959 | 5 | 113,919 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}.
Print the number of elements p_i (1 < i < n) that satisfy the following condition:
* p_i is the second smallest number among the three numbers p_{i - 1}, p_i, and p_{i + 1}.
Constraints
* All values in input are integers.
* 3 \leq n \leq 20
* p is a permutation of {1,\ 2,\ ...,\ n}.
Input
Input is given from Standard Input in the following format:
n
p_1 p_2 ... p_n
Output
Print the number of elements p_i (1 < i < n) that satisfy the condition.
Examples
Input
5
1 3 5 4 2
Output
2
Input
9
9 6 3 2 5 8 7 4 1
Output
5
Submitted Solution:
```
a = int(input())
x = list(map(int,input().split()))
s = 0
for i, j , k in zip(x,x[1:],x[2:]):
if i < j < k or k < j < i:s+=1
print(s)
``` | instruction | 0 | 56,968 | 5 | 113,936 |
Yes | output | 1 | 56,968 | 5 | 113,937 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}.
Print the number of elements p_i (1 < i < n) that satisfy the following condition:
* p_i is the second smallest number among the three numbers p_{i - 1}, p_i, and p_{i + 1}.
Constraints
* All values in input are integers.
* 3 \leq n \leq 20
* p is a permutation of {1,\ 2,\ ...,\ n}.
Input
Input is given from Standard Input in the following format:
n
p_1 p_2 ... p_n
Output
Print the number of elements p_i (1 < i < n) that satisfy the condition.
Examples
Input
5
1 3 5 4 2
Output
2
Input
9
9 6 3 2 5 8 7 4 1
Output
5
Submitted Solution:
```
n=int(input())
P=[int(i) for i in input().split()]
ans=0
for i in range(2,n):
if P[i-2]<P[i-1]<=P[i] or P[i]<P[i-1]<=P[i-2]:
ans+=1
print(ans)
``` | instruction | 0 | 56,969 | 5 | 113,938 |
Yes | output | 1 | 56,969 | 5 | 113,939 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}.
Print the number of elements p_i (1 < i < n) that satisfy the following condition:
* p_i is the second smallest number among the three numbers p_{i - 1}, p_i, and p_{i + 1}.
Constraints
* All values in input are integers.
* 3 \leq n \leq 20
* p is a permutation of {1,\ 2,\ ...,\ n}.
Input
Input is given from Standard Input in the following format:
n
p_1 p_2 ... p_n
Output
Print the number of elements p_i (1 < i < n) that satisfy the condition.
Examples
Input
5
1 3 5 4 2
Output
2
Input
9
9 6 3 2 5 8 7 4 1
Output
5
Submitted Solution:
```
n = int(input())
P = list(map(int, input().split()))
print(sum(p0 < p1 < p2 or p0 > p1 > p2 for p0, p1, p2 in zip(P, P[1:], P[2:])))
``` | instruction | 0 | 56,970 | 5 | 113,940 |
Yes | output | 1 | 56,970 | 5 | 113,941 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}.
Print the number of elements p_i (1 < i < n) that satisfy the following condition:
* p_i is the second smallest number among the three numbers p_{i - 1}, p_i, and p_{i + 1}.
Constraints
* All values in input are integers.
* 3 \leq n \leq 20
* p is a permutation of {1,\ 2,\ ...,\ n}.
Input
Input is given from Standard Input in the following format:
n
p_1 p_2 ... p_n
Output
Print the number of elements p_i (1 < i < n) that satisfy the condition.
Examples
Input
5
1 3 5 4 2
Output
2
Input
9
9 6 3 2 5 8 7 4 1
Output
5
Submitted Solution:
```
n = int(input())
p = list(map(int, input().split()))
cnt = 0
for i in range(n-2):
if p[i+1] == sorted(p[i:i+3])[1]:
cnt += 1
print(cnt)
``` | instruction | 0 | 56,971 | 5 | 113,942 |
Yes | output | 1 | 56,971 | 5 | 113,943 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}.
Print the number of elements p_i (1 < i < n) that satisfy the following condition:
* p_i is the second smallest number among the three numbers p_{i - 1}, p_i, and p_{i + 1}.
Constraints
* All values in input are integers.
* 3 \leq n \leq 20
* p is a permutation of {1,\ 2,\ ...,\ n}.
Input
Input is given from Standard Input in the following format:
n
p_1 p_2 ... p_n
Output
Print the number of elements p_i (1 < i < n) that satisfy the condition.
Examples
Input
5
1 3 5 4 2
Output
2
Input
9
9 6 3 2 5 8 7 4 1
Output
5
Submitted Solution:
```
N = int(input())
num=input()
numlist = num.split(" ")
count = 0
for i in range(N-2):
if numlist[i] < numlist[i+1] and numlist[i+1] < numlist[i+2]:
count += 1
elif numlist[i] > numlist[i+1] and numlist[i+1] > numlist[i+2]:
count += 1
print(count)
``` | instruction | 0 | 56,972 | 5 | 113,944 |
No | output | 1 | 56,972 | 5 | 113,945 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}.
Print the number of elements p_i (1 < i < n) that satisfy the following condition:
* p_i is the second smallest number among the three numbers p_{i - 1}, p_i, and p_{i + 1}.
Constraints
* All values in input are integers.
* 3 \leq n \leq 20
* p is a permutation of {1,\ 2,\ ...,\ n}.
Input
Input is given from Standard Input in the following format:
n
p_1 p_2 ... p_n
Output
Print the number of elements p_i (1 < i < n) that satisfy the condition.
Examples
Input
5
1 3 5 4 2
Output
2
Input
9
9 6 3 2 5 8 7 4 1
Output
5
Submitted Solution:
```
import numpy as np
import scipy as sp
import matplotlib.pyplot as plt
%matplotlib inline
#{1, 2, ..., n} の順列 p = {p1,p2, ..., pn } があります。
#以下の条件を満たすような pi (1<i<n) がいくつあるかを出力してください。
#pi−1, pi, pi+1 の 3 つの数の中で、pi が 2 番目に小さい。
n = int(input())
p = list(map(int, input().split()))
ans=0
for i in range(n-1):
if p[i-1]<p[i]<p[i+1] or p[i+1]<p[i]<p[i-1] :
ans+=1
else:
ans==ans
print(ans)
``` | instruction | 0 | 56,973 | 5 | 113,946 |
No | output | 1 | 56,973 | 5 | 113,947 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}.
Print the number of elements p_i (1 < i < n) that satisfy the following condition:
* p_i is the second smallest number among the three numbers p_{i - 1}, p_i, and p_{i + 1}.
Constraints
* All values in input are integers.
* 3 \leq n \leq 20
* p is a permutation of {1,\ 2,\ ...,\ n}.
Input
Input is given from Standard Input in the following format:
n
p_1 p_2 ... p_n
Output
Print the number of elements p_i (1 < i < n) that satisfy the condition.
Examples
Input
5
1 3 5 4 2
Output
2
Input
9
9 6 3 2 5 8 7 4 1
Output
5
Submitted Solution:
```
N = int(input())
P = list(input().split())
cnt = 0
for n in range(1,N-1):
if (P[n-1] < P[n] < P[n+1] or P[n-1] > P[n] > P[n+1]):
cnt+=1
print(cnt)
``` | instruction | 0 | 56,974 | 5 | 113,948 |
No | output | 1 | 56,974 | 5 | 113,949 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}.
Print the number of elements p_i (1 < i < n) that satisfy the following condition:
* p_i is the second smallest number among the three numbers p_{i - 1}, p_i, and p_{i + 1}.
Constraints
* All values in input are integers.
* 3 \leq n \leq 20
* p is a permutation of {1,\ 2,\ ...,\ n}.
Input
Input is given from Standard Input in the following format:
n
p_1 p_2 ... p_n
Output
Print the number of elements p_i (1 < i < n) that satisfy the condition.
Examples
Input
5
1 3 5 4 2
Output
2
Input
9
9 6 3 2 5 8 7 4 1
Output
5
Submitted Solution:
```
N = int(input())
P = list(input().split())
cnt = 0
for n in range(N-2):
if (P[n] < P[n+1] <= P[n+2] or P[n] >= P[n+1] > P[n+2]) and (P[n+1] != 1):
cnt+=1
print(cnt)
``` | instruction | 0 | 56,975 | 5 | 113,950 |
No | output | 1 | 56,975 | 5 | 113,951 |
Provide a correct Python 3 solution for this coding contest problem.
Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.
Constraints
* 1\leq N,K\leq 100
* N and K are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
If we can choose K integers as above, print `YES`; otherwise, print `NO`.
Examples
Input
3 2
Output
YES
Input
5 5
Output
NO
Input
31 10
Output
YES
Input
10 90
Output
NO | instruction | 0 | 56,976 | 5 | 113,952 |
"Correct Solution:
```
n,k = map(int,input().split())
if n >= 2*k - 1:
print("YES")
else:
print("NO")
``` | output | 1 | 56,976 | 5 | 113,953 |
Provide a correct Python 3 solution for this coding contest problem.
Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.
Constraints
* 1\leq N,K\leq 100
* N and K are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
If we can choose K integers as above, print `YES`; otherwise, print `NO`.
Examples
Input
3 2
Output
YES
Input
5 5
Output
NO
Input
31 10
Output
YES
Input
10 90
Output
NO | instruction | 0 | 56,977 | 5 | 113,954 |
"Correct Solution:
```
n,k=map(int,input().split())
if (n+1)//2>=k:
print('YES')
else:
print('NO')
``` | output | 1 | 56,977 | 5 | 113,955 |
Provide a correct Python 3 solution for this coding contest problem.
Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.
Constraints
* 1\leq N,K\leq 100
* N and K are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
If we can choose K integers as above, print `YES`; otherwise, print `NO`.
Examples
Input
3 2
Output
YES
Input
5 5
Output
NO
Input
31 10
Output
YES
Input
10 90
Output
NO | instruction | 0 | 56,978 | 5 | 113,956 |
"Correct Solution:
```
n,k=map(int,input().split())
if n//2+n%2>=k:print("YES")
else:print("NO")
``` | output | 1 | 56,978 | 5 | 113,957 |
Provide a correct Python 3 solution for this coding contest problem.
Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.
Constraints
* 1\leq N,K\leq 100
* N and K are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
If we can choose K integers as above, print `YES`; otherwise, print `NO`.
Examples
Input
3 2
Output
YES
Input
5 5
Output
NO
Input
31 10
Output
YES
Input
10 90
Output
NO | instruction | 0 | 56,979 | 5 | 113,958 |
"Correct Solution:
```
n, k = map(int, input().split())
print("YES" if (k-1)*2 < n else "NO")
``` | output | 1 | 56,979 | 5 | 113,959 |
Provide a correct Python 3 solution for this coding contest problem.
Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.
Constraints
* 1\leq N,K\leq 100
* N and K are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
If we can choose K integers as above, print `YES`; otherwise, print `NO`.
Examples
Input
3 2
Output
YES
Input
5 5
Output
NO
Input
31 10
Output
YES
Input
10 90
Output
NO | instruction | 0 | 56,980 | 5 | 113,960 |
"Correct Solution:
```
n,k=map(int, input().split())
if -(-n//2)>=k:print('YES')
else:print('NO')
``` | output | 1 | 56,980 | 5 | 113,961 |
Provide a correct Python 3 solution for this coding contest problem.
Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.
Constraints
* 1\leq N,K\leq 100
* N and K are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
If we can choose K integers as above, print `YES`; otherwise, print `NO`.
Examples
Input
3 2
Output
YES
Input
5 5
Output
NO
Input
31 10
Output
YES
Input
10 90
Output
NO | instruction | 0 | 56,981 | 5 | 113,962 |
"Correct Solution:
```
n,k = map(int,input().split())
if n / 2 + 1 > k :
print("YES")
else:
print("NO")
``` | output | 1 | 56,981 | 5 | 113,963 |
Provide a correct Python 3 solution for this coding contest problem.
Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.
Constraints
* 1\leq N,K\leq 100
* N and K are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
If we can choose K integers as above, print `YES`; otherwise, print `NO`.
Examples
Input
3 2
Output
YES
Input
5 5
Output
NO
Input
31 10
Output
YES
Input
10 90
Output
NO | instruction | 0 | 56,982 | 5 | 113,964 |
"Correct Solution:
```
n,k=(int(i) for i in input().split())
print('YES' if -(-n//2) >= k else 'NO')
``` | output | 1 | 56,982 | 5 | 113,965 |
Provide a correct Python 3 solution for this coding contest problem.
Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.
Constraints
* 1\leq N,K\leq 100
* N and K are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
If we can choose K integers as above, print `YES`; otherwise, print `NO`.
Examples
Input
3 2
Output
YES
Input
5 5
Output
NO
Input
31 10
Output
YES
Input
10 90
Output
NO | instruction | 0 | 56,983 | 5 | 113,966 |
"Correct Solution:
```
n,k=map(int,input().split())
print("YES" if 1+(k-1)*2<=n else "NO")
``` | output | 1 | 56,983 | 5 | 113,967 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.
Constraints
* 1\leq N,K\leq 100
* N and K are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
If we can choose K integers as above, print `YES`; otherwise, print `NO`.
Examples
Input
3 2
Output
YES
Input
5 5
Output
NO
Input
31 10
Output
YES
Input
10 90
Output
NO
Submitted Solution:
```
N, K = map(int, input().split())
print("YES" if (N-1)//2>=K-1 else "NO")
``` | instruction | 0 | 56,984 | 5 | 113,968 |
Yes | output | 1 | 56,984 | 5 | 113,969 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.
Constraints
* 1\leq N,K\leq 100
* N and K are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
If we can choose K integers as above, print `YES`; otherwise, print `NO`.
Examples
Input
3 2
Output
YES
Input
5 5
Output
NO
Input
31 10
Output
YES
Input
10 90
Output
NO
Submitted Solution:
```
n,k=map(int,input().split());print("YNEOS"[k*2-1>n::2])
``` | instruction | 0 | 56,985 | 5 | 113,970 |
Yes | output | 1 | 56,985 | 5 | 113,971 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.
Constraints
* 1\leq N,K\leq 100
* N and K are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
If we can choose K integers as above, print `YES`; otherwise, print `NO`.
Examples
Input
3 2
Output
YES
Input
5 5
Output
NO
Input
31 10
Output
YES
Input
10 90
Output
NO
Submitted Solution:
```
N, K = map(int, input().split())
if 2*K -1 > N:
print('NO')
else:
print('YES')
``` | instruction | 0 | 56,986 | 5 | 113,972 |
Yes | output | 1 | 56,986 | 5 | 113,973 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.
Constraints
* 1\leq N,K\leq 100
* N and K are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
If we can choose K integers as above, print `YES`; otherwise, print `NO`.
Examples
Input
3 2
Output
YES
Input
5 5
Output
NO
Input
31 10
Output
YES
Input
10 90
Output
NO
Submitted Solution:
```
n, k = map(int, input().split())
print("YES" if 1 + (n - 1) / 2 >= k else "NO")
``` | instruction | 0 | 56,987 | 5 | 113,974 |
Yes | output | 1 | 56,987 | 5 | 113,975 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Determine if we can choose K different integers between 1 and N (inclusive) so that no two of them differ by 1.
Constraints
* 1\leq N,K\leq 100
* N and K are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
If we can choose K integers as above, print `YES`; otherwise, print `NO`.
Examples
Input
3 2
Output
YES
Input
5 5
Output
NO
Input
31 10
Output
YES
Input
10 90
Output
NO
Submitted Solution:
```
N, K = map(int, input().split())
if N >= K - 1:
print("YES")
else:
print("NO")
``` | instruction | 0 | 56,988 | 5 | 113,976 |
No | output | 1 | 56,988 | 5 | 113,977 |
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