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 |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence a consisting of n integers. You may partition this sequence into two sequences b and c in such a way that every element belongs exactly to one of these sequences.
Let B be the sum of elements belonging to b, and C be the sum of elements belonging to c (if some of these sequences is empty, then its sum is 0). What is the maximum possible value of B - C?
Input
The first line contains one integer n (1 ≤ n ≤ 100) — the number of elements in a.
The second line contains n integers a1, a2, ..., an ( - 100 ≤ ai ≤ 100) — the elements of sequence a.
Output
Print the maximum possible value of B - C, where B is the sum of elements of sequence b, and C is the sum of elements of sequence c.
Examples
Input
3
1 -2 0
Output
3
Input
6
16 23 16 15 42 8
Output
120
Note
In the first example we may choose b = {1, 0}, c = { - 2}. Then B = 1, C = - 2, B - C = 3.
In the second example we choose b = {16, 23, 16, 15, 42, 8}, c = {} (an empty sequence). Then B = 120, C = 0, B - C = 120.
Submitted Solution:
```
n = int(input())
a = list(map(int,input().split()))
a.sort()
res = 0
for j in range(len(a)):
i = a[j]
if i < 0:
res += i
else:
break
print(sum(a[j:]) - res)
``` | instruction | 0 | 18,281 | 5 | 36,562 |
No | output | 1 | 18,281 | 5 | 36,563 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence a consisting of n integers. You may partition this sequence into two sequences b and c in such a way that every element belongs exactly to one of these sequences.
Let B be the sum of elements belonging to b, and C be the sum of elements belonging to c (if some of these sequences is empty, then its sum is 0). What is the maximum possible value of B - C?
Input
The first line contains one integer n (1 ≤ n ≤ 100) — the number of elements in a.
The second line contains n integers a1, a2, ..., an ( - 100 ≤ ai ≤ 100) — the elements of sequence a.
Output
Print the maximum possible value of B - C, where B is the sum of elements of sequence b, and C is the sum of elements of sequence c.
Examples
Input
3
1 -2 0
Output
3
Input
6
16 23 16 15 42 8
Output
120
Note
In the first example we may choose b = {1, 0}, c = { - 2}. Then B = 1, C = - 2, B - C = 3.
In the second example we choose b = {16, 23, 16, 15, 42, 8}, c = {} (an empty sequence). Then B = 120, C = 0, B - C = 120.
Submitted Solution:
```
n = int(input())
a = list(map(int,input().split()))
sum = 0
sub = 0
for i in a:
if i < 0:
sub += i
else:
sum += i
result = sum + sub
print(result)
``` | instruction | 0 | 18,282 | 5 | 36,564 |
No | output | 1 | 18,282 | 5 | 36,565 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence a consisting of n integers. You may partition this sequence into two sequences b and c in such a way that every element belongs exactly to one of these sequences.
Let B be the sum of elements belonging to b, and C be the sum of elements belonging to c (if some of these sequences is empty, then its sum is 0). What is the maximum possible value of B - C?
Input
The first line contains one integer n (1 ≤ n ≤ 100) — the number of elements in a.
The second line contains n integers a1, a2, ..., an ( - 100 ≤ ai ≤ 100) — the elements of sequence a.
Output
Print the maximum possible value of B - C, where B is the sum of elements of sequence b, and C is the sum of elements of sequence c.
Examples
Input
3
1 -2 0
Output
3
Input
6
16 23 16 15 42 8
Output
120
Note
In the first example we may choose b = {1, 0}, c = { - 2}. Then B = 1, C = - 2, B - C = 3.
In the second example we choose b = {16, 23, 16, 15, 42, 8}, c = {} (an empty sequence). Then B = 120, C = 0, B - C = 120.
Submitted Solution:
```
n=int(input())
a=sorted(list(map(int,input().split())))
for i in range(len(a)):
if a[i]>=0:
break
print(sum(a[i:])-sum(a[:i]))
``` | instruction | 0 | 18,283 | 5 | 36,566 |
No | output | 1 | 18,283 | 5 | 36,567 |
Provide a correct Python 3 solution for this coding contest problem.
There are N people living on a number line.
The i-th person lives at coordinate X_i.
You are going to hold a meeting that all N people have to attend.
The meeting can be held at any integer coordinate. If you choose to hold the meeting at coordinate P, the i-th person will spend (X_i - P)^2 points of stamina to attend the meeting.
Find the minimum total points of stamina the N people have to spend.
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq X_i \leq 100
Input
Input is given from Standard Input in the following format:
N
X_1 X_2 ... X_N
Output
Print the minimum total stamina the N people have to spend.
Examples
Input
2
1 4
Output
5
Input
7
14 14 2 13 56 2 37
Output
2354 | instruction | 0 | 18,308 | 5 | 36,616 |
"Correct Solution:
```
n = int(input())
x = list(map(int, input().split()))
s = round(sum(x)/n)
ans = [(a-s)**2 for a in x]
print(sum(ans))
``` | output | 1 | 18,308 | 5 | 36,617 |
Provide a correct Python 3 solution for this coding contest problem.
There are N people living on a number line.
The i-th person lives at coordinate X_i.
You are going to hold a meeting that all N people have to attend.
The meeting can be held at any integer coordinate. If you choose to hold the meeting at coordinate P, the i-th person will spend (X_i - P)^2 points of stamina to attend the meeting.
Find the minimum total points of stamina the N people have to spend.
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq X_i \leq 100
Input
Input is given from Standard Input in the following format:
N
X_1 X_2 ... X_N
Output
Print the minimum total stamina the N people have to spend.
Examples
Input
2
1 4
Output
5
Input
7
14 14 2 13 56 2 37
Output
2354 | instruction | 0 | 18,309 | 5 | 36,618 |
"Correct Solution:
```
n = int(input())
x = [int(i) for i in input().split()]
print( min( sum( (xx-p)**2 for xx in x ) for p in range(max(x)+2) ) )
``` | output | 1 | 18,309 | 5 | 36,619 |
Provide a correct Python 3 solution for this coding contest problem.
There are N people living on a number line.
The i-th person lives at coordinate X_i.
You are going to hold a meeting that all N people have to attend.
The meeting can be held at any integer coordinate. If you choose to hold the meeting at coordinate P, the i-th person will spend (X_i - P)^2 points of stamina to attend the meeting.
Find the minimum total points of stamina the N people have to spend.
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq X_i \leq 100
Input
Input is given from Standard Input in the following format:
N
X_1 X_2 ... X_N
Output
Print the minimum total stamina the N people have to spend.
Examples
Input
2
1 4
Output
5
Input
7
14 14 2 13 56 2 37
Output
2354 | instruction | 0 | 18,311 | 5 | 36,622 |
"Correct Solution:
```
N = int(input())
X = list(map(int, input().split()))
print(min(list(sum((x-P)**2 for x in X) for P in range(min(X),max(X)+1))))
``` | output | 1 | 18,311 | 5 | 36,623 |
Provide a correct Python 3 solution for this coding contest problem.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000 | instruction | 0 | 18,339 | 5 | 36,678 |
"Correct Solution:
```
n,m=map(int,input().split())
L=1
R=n
for i in range(m):
l,r=map(int,input().split())
L=max(l,L)
R=min(r,R)
if (R-L+1)>=0:
print(R-L+1)
else:
print(0)
``` | output | 1 | 18,339 | 5 | 36,679 |
Provide a correct Python 3 solution for this coding contest problem.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000 | instruction | 0 | 18,340 | 5 | 36,680 |
"Correct Solution:
```
n,m=map(int,input().split())
a=1
for _ in range(m):
l,r=map(int,input().split())
if n>r:n=r
if a<l:a=l
print(n-a+1) if n-a>=0 else print(0)
``` | output | 1 | 18,340 | 5 | 36,681 |
Provide a correct Python 3 solution for this coding contest problem.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000 | instruction | 0 | 18,341 | 5 | 36,682 |
"Correct Solution:
```
n, m = map(int, input().split())
mi=-1
ma = n
for i in range(m):
l,r=map(int, input().split())
mi=max(mi,l)
ma=min(ma,r)
print(max(0,ma-mi+1))
``` | output | 1 | 18,341 | 5 | 36,683 |
Provide a correct Python 3 solution for this coding contest problem.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000 | instruction | 0 | 18,342 | 5 | 36,684 |
"Correct Solution:
```
N, M = map(int, input().split())
L, R = list(zip(*[map(int, input().split()) for _ in range(M)]))
ans = max(0, min(R) - max(L) + 1)
print(ans)
``` | output | 1 | 18,342 | 5 | 36,685 |
Provide a correct Python 3 solution for this coding contest problem.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000 | instruction | 0 | 18,343 | 5 | 36,686 |
"Correct Solution:
```
N, M = map(int, input().split())
L = 1
R = N
for i in range(M):
l, r = map(int, input().split())
L = max(L, l)
R = min(R, r)
print(max(R-L+1, 0))
``` | output | 1 | 18,343 | 5 | 36,687 |
Provide a correct Python 3 solution for this coding contest problem.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000 | instruction | 0 | 18,344 | 5 | 36,688 |
"Correct Solution:
```
N,M=map(int,input().split())
left=1
right=N
for i in range(M):
L,R=map(int,input().split())
left=max(left,L)
right=min(right,R)
print(max(0,right-left+1))
``` | output | 1 | 18,344 | 5 | 36,689 |
Provide a correct Python 3 solution for this coding contest problem.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000 | instruction | 0 | 18,345 | 5 | 36,690 |
"Correct Solution:
```
n,m=map(int, input().split( ))
l=0
r = n+1
for _ in range(m):
li,ri = map(int, input().split( ))
l=max(l,li)
r = min(r,ri)
print(max(r-l+1,0))
``` | output | 1 | 18,345 | 5 | 36,691 |
Provide a correct Python 3 solution for this coding contest problem.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000 | instruction | 0 | 18,346 | 5 | 36,692 |
"Correct Solution:
```
N,M=map(int,input().split())
L=[0]*M
R=[0]*M
for i in range(M):
L[i],R[i]=map(int,input().split())
print(0 if min(R)<max(L) else min(R)-max(L)+1)
``` | output | 1 | 18,346 | 5 | 36,693 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000
Submitted Solution:
```
n,m = map(int,input().split())
l=0
r=n
for _ in range(m) :
a,b = map(int,input().split())
l = max([a,l])
r = min([b,r])
print(max([0,r-l+1]))
``` | instruction | 0 | 18,347 | 5 | 36,694 |
Yes | output | 1 | 18,347 | 5 | 36,695 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000
Submitted Solution:
```
N, M = map(int, input().split())
L=[None]*M
R=[None]*M
for i in range(M):
L[i],R[i] = map(int, input().split())
a=min(R)-max(L)+1
if a<0:
a=0
print(a)
``` | instruction | 0 | 18,348 | 5 | 36,696 |
Yes | output | 1 | 18,348 | 5 | 36,697 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000
Submitted Solution:
```
n,m=map(int,input().split())
mn,mx=-1,10**7
for _ in range(m):
l,r= map(int,input().split())
mn=max(mn,l)
mx=min(mx,r)
ans=max(mx-mn+1,0)
print(ans)
``` | instruction | 0 | 18,349 | 5 | 36,698 |
Yes | output | 1 | 18,349 | 5 | 36,699 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000
Submitted Solution:
```
n, m, *lr = list(map(int, open(0).read().split()))
print(max(0, min(lr[1::2]) - max(lr[::2]) + 1))
``` | instruction | 0 | 18,350 | 5 | 36,700 |
Yes | output | 1 | 18,350 | 5 | 36,701 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000
Submitted Solution:
```
n, m = [int(_) for _ in input().split()]
ls = []
rs = []
for i in range(m):
lr = [int(_) for _ in input().split()]
ls.append(lr[0])
rs.append(lr[1])
print(min(rs) - max(ls) + 1)
``` | instruction | 0 | 18,351 | 5 | 36,702 |
No | output | 1 | 18,351 | 5 | 36,703 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000
Submitted Solution:
```
N, M = map(int, input().split())
gates = []
for _ in range(M):
gates.append(tuple(map(int, input().split())))
L = 1
R = N
for l, r in gates:
if l > L:
L = l
if r < R:
R = r
print(R - L + 1)
``` | instruction | 0 | 18,352 | 5 | 36,704 |
No | output | 1 | 18,352 | 5 | 36,705 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000
Submitted Solution:
```
x=list(map(int, input().split()))
a=1
b=x[0]
for i in range(x[1]):
c,d=list(map(int, input().split()))
if a<c:
a=c
if b>d:
b=d
if b-a>0:
print(b-a+1)
else:
print(0)
``` | instruction | 0 | 18,353 | 5 | 36,706 |
No | output | 1 | 18,353 | 5 | 36,707 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N ID cards, and there are M gates.
We can pass the i-th gate if we have one of the following ID cards: the L_i-th, (L_i+1)-th, ..., and R_i-th ID cards.
How many of the ID cards allow us to pass all the gates alone?
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i \leq R_i \leq N
Input
Input is given from Standard Input in the following format:
N M
L_1 R_1
L_2 R_2
\vdots
L_M R_M
Output
Print the number of ID cards that allow us to pass all the gates alone.
Examples
Input
4 2
1 3
2 4
Output
2
Input
10 3
3 6
5 7
6 9
Output
1
Input
100000 1
1 100000
Output
100000
Submitted Solution:
```
import sys
import math
from collections import defaultdict
from collections import deque
def load(vtype=int):
return vtype(input().strip())
def load_list(seplator=" ", vtype=int):
return [vtype(v) for v in input().strip().split(seplator)]
def exit():
import sys
sys.exit(0)
def perm_sub(li, used):
if len(li) == len(used):
return [deque()]
k = []
for i in range(len(li)):
if i in used:
continue
used.add(i)
sub_list = perm_sub(li, used)
for sub in sub_list:
sub.appendleft(li[i])
k.extend(sub_list)
used.discard(i)
return k
def perm_li(li):
return perm_sub(li, set())
def perm_n(n):
return perm_sub(list(range(n)), set())
def join_i(li, sep=""):
return sep.join([str(e) for e in li])
def li2n(li):
n, base = 0, 1
for i in range(len(li)-1, -1, -1):
n += li[i] * base
base *= 10
return n
def sli2ili(li):
return [int(s) for s in li]
def prime_list(n):
li = [i for i in range(2, n+1)]
for i in range(len(li)):
if li[i] >= int(math.sqrt(n)):
break
if li[i] == -1:
continue
for j in range(i+1, len(li)):
if li[j] % li[i] == 0:
li[j] = -1
return [n for n in li if n != -1]
def gcd(a, b):
a, b = max(a, b), min(a, b)
while True:
r = a % b
if r == 0: return b
a, b = b, r
def lcm(a, b):
return int(a * b / gcd(a,b))
def all_subset(li):
s = []
n = len(li)
for bit in range(0, (1<<(n+1))):
ss = set()
for i in range(0, n):
if (bit & (1 << i)):
ss.add(li[i])
s.append(ss)
return s
def factorial(n):
if n == 1:
return 1
return n * factorial(n-1)
def mCn(m, n):
def factorial_ntimes(m, n):
r = 1
while n:
r *= m
m -= 1
n -= 1
return r
return int(factorial_ntimes(m, n) / factorial(n))
n,m = load_list()
lr = []
for _ in range(m):
l, r = load_list()
lr.append(set(range(l, r+1)))
passed = set.intersection(*lr)
print(len(passed))
``` | instruction | 0 | 18,354 | 5 | 36,708 |
No | output | 1 | 18,354 | 5 | 36,709 |
Provide a correct Python 3 solution for this coding contest problem.
Find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo 10^9 + 7:
* The sum of the digits in base ten is a multiple of D.
Constraints
* All values in input are integers.
* 1 \leq K < 10^{10000}
* 1 \leq D \leq 100
Input
Input is given from Standard Input in the following format:
K
D
Output
Print the number of integers satisfying the condition, modulo 10^9 + 7.
Examples
Input
30
4
Output
6
Input
1000000009
1
Output
2
Input
98765432109876543210
58
Output
635270834 | instruction | 0 | 18,355 | 5 | 36,710 |
"Correct Solution:
```
def f(ks, d):
md = 10 ** 9 + 7
dp = [0] * d
just = 0
for k in ks:
ndp = [0] * d
ndp[0] = s = sum(dp[i % d] for i in range(-9, 1))
for i in range(1, d):
ndp[i] = s = (s + dp[i % d] - dp[(i - 10) % d]) % md
for ndi in range(just, just + k):
ndp[ndi % d] += 1
just = (just + k) % d
dp = ndp
print((dp[0] + (just == 0) - 1) % md)
ks = list(map(int, list(input())))
d = int(input())
f(ks, d)
``` | output | 1 | 18,355 | 5 | 36,711 |
Provide a correct Python 3 solution for this coding contest problem.
Find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo 10^9 + 7:
* The sum of the digits in base ten is a multiple of D.
Constraints
* All values in input are integers.
* 1 \leq K < 10^{10000}
* 1 \leq D \leq 100
Input
Input is given from Standard Input in the following format:
K
D
Output
Print the number of integers satisfying the condition, modulo 10^9 + 7.
Examples
Input
30
4
Output
6
Input
1000000009
1
Output
2
Input
98765432109876543210
58
Output
635270834 | instruction | 0 | 18,358 | 5 | 36,716 |
"Correct Solution:
```
#!/usr/bin/env python3
import sys, math, itertools, collections, bisect
input = lambda: sys.stdin.buffer.readline().rstrip().decode('utf-8')
inf = float('inf') ;mod = 10**9+7
mans = inf ;ans = 0 ;count = 0 ;pro = 1
K = list(map(int,input())); n = len(K)
D = int(input())
dp = [[[0]*D for i in range(2)] for j in range(n+1)]
dp[0][0][0] = 1
for i in range(n):
for p in range(D):
dp[i+1][0][p] = dp[i][0][(p-K[i])%D] % mod
tmp = 0
for l in range(K[i]):
tmp += dp[i][0][(p-l)%D]
for l in range(10):
tmp += dp[i][1][(p-l)%D]
dp[i+1][1][p] = tmp % mod
print((dp[n][0][0] + dp[n][1][0] -1) % mod)
# for di in dp:
# print(*di)
``` | output | 1 | 18,358 | 5 | 36,717 |
Provide a correct Python 3 solution for this coding contest problem.
Find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo 10^9 + 7:
* The sum of the digits in base ten is a multiple of D.
Constraints
* All values in input are integers.
* 1 \leq K < 10^{10000}
* 1 \leq D \leq 100
Input
Input is given from Standard Input in the following format:
K
D
Output
Print the number of integers satisfying the condition, modulo 10^9 + 7.
Examples
Input
30
4
Output
6
Input
1000000009
1
Output
2
Input
98765432109876543210
58
Output
635270834 | instruction | 0 | 18,359 | 5 | 36,718 |
"Correct Solution:
```
import sys
sys.setrecursionlimit(10 ** 6)
int1 = lambda x: int(x) - 1
p2D = lambda x: print(*x, sep="\n")
def MI(): return map(int, sys.stdin.readline().split())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def main():
md = 10 ** 9 + 7
k = [int(c) for c in input()]
n=len(k)
d = int(input())
dp = [[0] * d for _ in range(n)]
for b in range(k[0]):
dp[0][b % d] += 1
border = k[0]
dpi = dp[0]
for i, a in enumerate(k[1:], 1):
dpi1 = dpi
dpi = dp[i]
for j in range(d):
pre = dpi1[j]
if pre == 0: continue
for b in range(10):
nj = (j + b) % d
dpi[nj] = (dpi[nj] + pre) % md
for b in range(a):
nj = (border + b) % d
dpi[nj] += 1
border = (border + a) % d
#p2D(dp)
ans = dp[n-1][0] - 1 + (border % d == 0)
print(ans % md)
main()
``` | output | 1 | 18,359 | 5 | 36,719 |
Provide a correct Python 3 solution for this coding contest problem.
Find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo 10^9 + 7:
* The sum of the digits in base ten is a multiple of D.
Constraints
* All values in input are integers.
* 1 \leq K < 10^{10000}
* 1 \leq D \leq 100
Input
Input is given from Standard Input in the following format:
K
D
Output
Print the number of integers satisfying the condition, modulo 10^9 + 7.
Examples
Input
30
4
Output
6
Input
1000000009
1
Output
2
Input
98765432109876543210
58
Output
635270834 | instruction | 0 | 18,360 | 5 | 36,720 |
"Correct Solution:
```
a = input()
dd = int(input())
mod = 10**9 + 7
n = len(a)
dp = [[[0 for j in range(dd)] for k in range(2)] for i in range(n+1)]
dp[0][0][0] = 1
for i in range(n):
for j in range(2):
for k in range(dd):
lim = 9 if j else int(a[i]) - 0
for d in range(lim+1):
dp[i+1][(j or d) <lim][(k+d)%dd] += dp[i][j][k]
dp[i+1][(j or d) <lim][(k+d)%dd] %= mod
ans = 0
for j in range(2):
ans += dp[n][j][0]
print((ans-1)%mod)
``` | output | 1 | 18,360 | 5 | 36,721 |
Provide a correct Python 3 solution for this coding contest problem.
Find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo 10^9 + 7:
* The sum of the digits in base ten is a multiple of D.
Constraints
* All values in input are integers.
* 1 \leq K < 10^{10000}
* 1 \leq D \leq 100
Input
Input is given from Standard Input in the following format:
K
D
Output
Print the number of integers satisfying the condition, modulo 10^9 + 7.
Examples
Input
30
4
Output
6
Input
1000000009
1
Output
2
Input
98765432109876543210
58
Output
635270834 | instruction | 0 | 18,362 | 5 | 36,724 |
"Correct Solution:
```
K = list(map(int, input()))
D = int(input())
mod = 10 ** 9 + 7
next_dp = [0] * D
border = 0
for current_digit in K:
dp, next_dp = next_dp, [0] * D
for current_mod, cnt in enumerate(dp):
for next_mod in range(current_mod, current_mod + 10):
next_dp[next_mod % D] += cnt
for next_mod in range(border, current_digit + border):
next_dp[next_mod % D] += 1
border = (border + current_digit) % D
for i in range(D):
next_dp[i] %= mod
print((next_dp[0] + (border == 0) - 1) % mod)
``` | output | 1 | 18,362 | 5 | 36,725 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo 10^9 + 7:
* The sum of the digits in base ten is a multiple of D.
Constraints
* All values in input are integers.
* 1 \leq K < 10^{10000}
* 1 \leq D \leq 100
Input
Input is given from Standard Input in the following format:
K
D
Output
Print the number of integers satisfying the condition, modulo 10^9 + 7.
Examples
Input
30
4
Output
6
Input
1000000009
1
Output
2
Input
98765432109876543210
58
Output
635270834
Submitted Solution:
```
K = input()
L = len(K)
D = int(input())
MOD = 10**9+7
dp = [[[0,0] for _ in range(D)] for _ in range(L+1)]
dp[0][0][0] = 1
for i,c in enumerate(K):
c = int(c)
for x in range(D):
for d in range(10):
y = (x+d)%D
dp[i+1][y][1] += dp[i][x][1]
dp[i+1][y][1] %= MOD
if d > c: continue
dp[i+1][y][int(d<c)] += dp[i][x][0]
dp[i+1][y][int(d<c)] %= MOD
print((sum(dp[-1][0]) - 1) % MOD)
``` | instruction | 0 | 18,363 | 5 | 36,726 |
Yes | output | 1 | 18,363 | 5 | 36,727 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo 10^9 + 7:
* The sum of the digits in base ten is a multiple of D.
Constraints
* All values in input are integers.
* 1 \leq K < 10^{10000}
* 1 \leq D \leq 100
Input
Input is given from Standard Input in the following format:
K
D
Output
Print the number of integers satisfying the condition, modulo 10^9 + 7.
Examples
Input
30
4
Output
6
Input
1000000009
1
Output
2
Input
98765432109876543210
58
Output
635270834
Submitted Solution:
```
K=input()
D=int(input())
mod=10**9+7
L=len(K)
DP=[0]*D#DP[num][limit]で,一つ前の桁について,「桁和,そこまでKと一致していれば1」の場合の数
LIMIT=[]
for j in range(10):
if j>int(K[0]):
continue
if j==int(K[0]):
LIMIT=j%D
else:
DP[j%D]+=1
for ketanum in K[1:]:
NDP=[0]*D
for i in range(D):
for j in range(10):
NDP[(i+j)%D]=(NDP[(i+j)%D]+DP[i])%mod
for j in range(int(ketanum)):
NDP[(LIMIT+j)%D]+=1
LIMIT=(LIMIT+int(ketanum))%D
DP=NDP
print((DP[0]-1+ (LIMIT==0) )%mod)
``` | instruction | 0 | 18,364 | 5 | 36,728 |
Yes | output | 1 | 18,364 | 5 | 36,729 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo 10^9 + 7:
* The sum of the digits in base ten is a multiple of D.
Constraints
* All values in input are integers.
* 1 \leq K < 10^{10000}
* 1 \leq D \leq 100
Input
Input is given from Standard Input in the following format:
K
D
Output
Print the number of integers satisfying the condition, modulo 10^9 + 7.
Examples
Input
30
4
Output
6
Input
1000000009
1
Output
2
Input
98765432109876543210
58
Output
635270834
Submitted Solution:
```
#
# ⋀_⋀
# (･ω･)
# .／ Ｕ ∽ Ｕ＼
# │＊ 合 ＊│
# │＊ 格 ＊│
# │＊ 祈 ＊│
# │＊ 願 ＊│
# │＊ ＊│
# ￣
#
import sys
sys.setrecursionlimit(10**6)
input=sys.stdin.readline
from math import floor,ceil,sqrt,factorial,hypot,log #log2ないｙｐ
from heapq import heappop, heappush, heappushpop
from collections import Counter,defaultdict,deque
from itertools import accumulate,permutations,combinations,product,combinations_with_replacement
from bisect import bisect_left,bisect_right
from copy import deepcopy
inf=float('inf')
mod = 10**9+7
def pprint(*A):
for a in A: print(*a,sep='\n')
def INT_(n): return int(n)-1
def MI(): return map(int,input().split())
def MF(): return map(float, input().split())
def MI_(): return map(INT_,input().split())
def LI(): return list(MI())
def LI_(): return [int(x) - 1 for x in input().split()]
def LF(): return list(MF())
def LIN(n:int): return [I() for _ in range(n)]
def LLIN(n: int): return [LI() for _ in range(n)]
def LLIN_(n: int): return [LI_() for _ in range(n)]
def LLI(): return [list(map(int, l.split() )) for l in input()]
def I(): return int(input())
def F(): return float(input())
def ST(): return input().replace('\n', '')
#mint
class ModInt:
def __init__(self, x):
self.x = x % mod
def __str__(self):
return str(self.x)
__repr__ = __str__
def __add__(self, other):
if isinstance(other, ModInt):
return ModInt(self.x + other.x)
else:
return ModInt(self.x + other)
__radd__ = __add__
def __sub__(self, other):
if isinstance(other, ModInt):
return ModInt(self.x - other.x)
else:
return ModInt(self.x - other)
def __rsub__(self, other):
if isinstance(other, ModInt):
return ModInt(other.x - self.x)
else:
return ModInt(other - self.x)
def __mul__(self, other):
if isinstance(other, ModInt):
return ModInt(self.x * other.x)
else:
return ModInt(self.x * other)
__rmul__ = __mul__
def __truediv__(self, other):
if isinstance(other, ModInt):
return ModInt(self.x * pow(other.x, mod-2,mod))
else:
return ModInt(self.x * pow(other, mod - 2, mod))
def __rtruediv(self, other):
if isinstance(other, self):
return ModInt(other * pow(self.x, mod - 2, mod))
else:
return ModInt(other.x * pow(self.x, mod - 2, mod))
def __pow__(self, other):
if isinstance(other, ModInt):
return ModInt(pow(self.x, other.x, mod))
else:
return ModInt(pow(self.x, other, mod))
def __rpow__(self, other):
if isinstance(other, ModInt):
return ModInt(pow(other.x, self.x, mod))
else:
return ModInt(pow(other, self.x, mod))
def main():
K=[int(i) for i in ST()]
D=I()
N=len(K)
dp = [[[ModInt(0)]*D for _ in range(2)] for _ in range(N+1)] # dp[i][less][j]:=i桁目までで桁和j(mod D)、でなんパターンあるか
dp[0][0][0]+=1
for i in range(N):
for less in range(2):
limit = 10 if less else K[i]+1
for d in range(D):
for j in range(limit):
if less or j!=limit-1:
dp[i+1][1][(d+j)%D] += dp[i][less][d]
else:
dp[i+1][0][(d+j)%D] += dp[i][less][d]
print(dp[-1][0][0] + dp[-1][1][0] - 1) #0の分
if __name__ == '__main__':
main()
``` | instruction | 0 | 18,365 | 5 | 36,730 |
Yes | output | 1 | 18,365 | 5 | 36,731 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo 10^9 + 7:
* The sum of the digits in base ten is a multiple of D.
Constraints
* All values in input are integers.
* 1 \leq K < 10^{10000}
* 1 \leq D \leq 100
Input
Input is given from Standard Input in the following format:
K
D
Output
Print the number of integers satisfying the condition, modulo 10^9 + 7.
Examples
Input
30
4
Output
6
Input
1000000009
1
Output
2
Input
98765432109876543210
58
Output
635270834
Submitted Solution:
```
M=10**9+7
n=input()
d=int(input())
dp=[[[0,0] for j in range(d)] for i in range(len(n)+1)]
dp[0][0][0]=1
for i,x in enumerate(map(int,n),1):
for j in range(10):
for k in range(d):
dp[i][(j+k)%d][1]+=dp[i-1][k][1]
dp[i][(j+k)%d][1]%=M
if j<x:
dp[i][(j+k)%d][1]+=dp[i-1][k][0]
dp[i][(j+k)%d][1]%=M
if j==x:
dp[i][(j+k)%d][0]+=dp[i-1][k][0]
dp[i][(j+k)%d][0]%=M
print((sum(dp[-1][0])-1)%M)
``` | instruction | 0 | 18,366 | 5 | 36,732 |
Yes | output | 1 | 18,366 | 5 | 36,733 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo 10^9 + 7:
* The sum of the digits in base ten is a multiple of D.
Constraints
* All values in input are integers.
* 1 \leq K < 10^{10000}
* 1 \leq D \leq 100
Input
Input is given from Standard Input in the following format:
K
D
Output
Print the number of integers satisfying the condition, modulo 10^9 + 7.
Examples
Input
30
4
Output
6
Input
1000000009
1
Output
2
Input
98765432109876543210
58
Output
635270834
Submitted Solution:
```
K = input()
N = len(K)
D = int(input())
X = [0] * D
Y = [0] * D
X[0] = 1
P = 10**9+7
for i in range(N):
nX = [0] * D
nY = [0] * D
for j in range(10):
for k in range(D):
nk = (j+k)%D
nY[nk] += Y[k]
if j < int(K[i]):
nY[nk] = (nY[nk] + X[k]) % P
elif j == int(K[i]):
nX[nk] = (nX[nk] + X[k]) % P
X, Y = nX, nY
print((X[0] + Y[0] - 1) % P)
``` | instruction | 0 | 18,367 | 5 | 36,734 |
No | output | 1 | 18,367 | 5 | 36,735 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo 10^9 + 7:
* The sum of the digits in base ten is a multiple of D.
Constraints
* All values in input are integers.
* 1 \leq K < 10^{10000}
* 1 \leq D \leq 100
Input
Input is given from Standard Input in the following format:
K
D
Output
Print the number of integers satisfying the condition, modulo 10^9 + 7.
Examples
Input
30
4
Output
6
Input
1000000009
1
Output
2
Input
98765432109876543210
58
Output
635270834
Submitted Solution:
```
#include <bits/stdc++.h>
using namespace std; void solve(); int main(){cin.tie(0); ios::sync_with_stdio(false); cout<<fixed<<setprecision(10); solve();}
using ll=int_fast64_t; using ld=long double; using pll=pair<ll,ll>; using pld=pair<ld,ld>;
#define fi first
#define se second
#define SELECTOR(_1,_2,_3,SELECT,...) SELECT
#define rep(...) SELECTOR(__VA_ARGS__,_rep1,_rep0)(__VA_ARGS__)
#define _rep0(i,n) for(ll i=0;i<n;++i)
#define _rep1(i,k,n) for(ll i=k;i<n;++i)
template<class T> void vecout(const T &v){for(auto it=v.begin();it!=v.end();++it,cout<<(it!=v.end()?" ":"\n"))cout<<*it;}
template<class T> vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<class... Ts> auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
template <std::uint_fast64_t Modulus> class modint {
public:
ll a;
constexpr modint(const ll x = 0) noexcept : a(x % Modulus) {}
constexpr ll &value() noexcept { return a; }
constexpr const ll &value() const noexcept { return a; }
constexpr modint operator+(const modint rhs) const noexcept {
return modint(*this) += rhs;
}
constexpr modint operator-(const modint rhs) const noexcept {
return modint(*this) -= rhs;
}
constexpr modint operator*(const modint rhs) const noexcept {
return modint(*this) *= rhs;
}
constexpr modint operator/(const modint rhs) const noexcept {
return modint(*this) /= rhs;
}
constexpr modint &operator+=(const modint rhs) noexcept {
a += rhs.a;
if (a >= Modulus) {
a -= Modulus;
}
return *this;
}
constexpr modint &operator-=(const modint rhs) noexcept {
if (a < rhs.a) {
a += Modulus;
}
a -= rhs.a;
return *this;
}
constexpr modint &operator*=(const modint rhs) noexcept {
a = a * rhs.a % Modulus;
return *this;
}
constexpr modint &operator/=(modint rhs) noexcept {
ll exp = Modulus - 2;
while (exp) {
if (exp % 2) {
*this *= rhs;
}
rhs *= rhs;
exp /= 2;
}
return *this;
}
};
void solve(){
const ll MOD=1000000007;
string k; cin>>k;
ll d; cin>>d;
ll n=k.size();
auto dp=make_v(n+1,d,2,modint<MOD>(0));
dp[0][0][0]=modint<MOD>(1);
rep(i,n){
ll a=k[i]-'0';
rep(j,d)rep(o,10){
dp[i+1][(j+o)%d][1]+=dp[i][j][1];
if(o<a) dp[i+1][(j+o)%d][i]+=dp[i][j][0];
else if(o==a) dp[i+1][(j+o)%d][i]+=dp[i][j][1];
}
}
cout<<(dp[n][0][0]+dp[n][0][1]-1).a<<"\n";
}
``` | instruction | 0 | 18,368 | 5 | 36,736 |
No | output | 1 | 18,368 | 5 | 36,737 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo 10^9 + 7:
* The sum of the digits in base ten is a multiple of D.
Constraints
* All values in input are integers.
* 1 \leq K < 10^{10000}
* 1 \leq D \leq 100
Input
Input is given from Standard Input in the following format:
K
D
Output
Print the number of integers satisfying the condition, modulo 10^9 + 7.
Examples
Input
30
4
Output
6
Input
1000000009
1
Output
2
Input
98765432109876543210
58
Output
635270834
Submitted Solution:
```
K=input()
D=int(input())
mod=10**9+7
L=len(K)
DP=[[0]*D for i in range(2)]#DP[num][limit]で,一つ前の桁について,「桁和,そこまでKと一致していれば1」の場合の数
for j in range(10):
if j>int(K[0]):
continue
if j==int(K[0]):
DP[1][j%D]=1
else:
DP[0][j%D]=1
for keta in range(1,L):
NDP=[[0]*D for i in range(2)]
for i in range(D):
for j in range(10):
NDP[0][(i+j)%D]=(NDP[0][(i+j)%D]+DP[0][i])%mod
for i in range(D):
for j in range(10):
if j>int(K[keta]):
continue
if j==int(K[keta]):
NDP[1][(i+j)%D]=(NDP[1][(i+j)%D]+DP[1][i])%mod
else:
NDP[0][(i+j)%D]=(NDP[0][(i+j)%D]+DP[1][i])%mod
DP=NDP
print(DP[0][0]+DP[1][0]-1)
``` | instruction | 0 | 18,369 | 5 | 36,738 |
No | output | 1 | 18,369 | 5 | 36,739 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo 10^9 + 7:
* The sum of the digits in base ten is a multiple of D.
Constraints
* All values in input are integers.
* 1 \leq K < 10^{10000}
* 1 \leq D \leq 100
Input
Input is given from Standard Input in the following format:
K
D
Output
Print the number of integers satisfying the condition, modulo 10^9 + 7.
Examples
Input
30
4
Output
6
Input
1000000009
1
Output
2
Input
98765432109876543210
58
Output
635270834
Submitted Solution:
```
import sys
readline = sys.stdin.buffer.readline
def main():
def digit_dp(n, m):
# dp[i][j][k] -> i: 現在見ている桁数
# j: n以下が保証されているかどうか
# k: m で割った余りの総和
n = list(map(int, list(str(n))))
n_len = len(n)
dp_table = [[[0 for k in range(m)] for j in range(2)] for i in range(n_len + 1)]
dp_table[0][0][0] = 1
for j in range(2):
for i in range(n_len):
for d in range(0, 10 if j else n[i] + 1):
for k in range(m):
dp_table[i + 1][j or (d < n[i])][(k + d % m) % m] += dp_table[i][j][k]
return dp_table[-1][0][0] + dp_table[-1][1][0] - 1
#0 の分、1を減算
a = int(readline())
b = int(readline())
mod = 10**9 + 7
print(digit_dp(a, b) % mod)
if __name__ == "__main__":
main()
``` | instruction | 0 | 18,370 | 5 | 36,740 |
No | output | 1 | 18,370 | 5 | 36,741 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S consisting of `0` and `1`. Find the maximum integer K not greater than |S| such that we can turn all the characters of S into `0` by repeating the following operation some number of times.
* Choose a contiguous segment [l,r] in S whose length is at least K (that is, r-l+1\geq K must be satisfied). For each integer i such that l\leq i\leq r, do the following: if S_i is `0`, replace it with `1`; if S_i is `1`, replace it with `0`.
Constraints
* 1\leq |S|\leq 10^5
* S_i(1\leq i\leq N) is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum integer K such that we can turn all the characters of S into `0` by repeating the operation some number of times.
Examples
Input
010
Output
2
Input
100000000
Output
8
Input
00001111
Output
4
Submitted Solution:
```
s = input()
len_s = len(s)
ans = len_s // 2
center = ans
b = s[ans]
if len_s % 2:
for i in range(center+1):
if s[center-i] == s[center+i] == b:
ans += 1
else:
break
else:
for i in range(center):
if s[center-1-i] == s[center+i] == b:
ans += 1
else:
break
print(ans)
``` | instruction | 0 | 18,395 | 5 | 36,790 |
Yes | output | 1 | 18,395 | 5 | 36,791 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S consisting of `0` and `1`. Find the maximum integer K not greater than |S| such that we can turn all the characters of S into `0` by repeating the following operation some number of times.
* Choose a contiguous segment [l,r] in S whose length is at least K (that is, r-l+1\geq K must be satisfied). For each integer i such that l\leq i\leq r, do the following: if S_i is `0`, replace it with `1`; if S_i is `1`, replace it with `0`.
Constraints
* 1\leq |S|\leq 10^5
* S_i(1\leq i\leq N) is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum integer K such that we can turn all the characters of S into `0` by repeating the operation some number of times.
Examples
Input
010
Output
2
Input
100000000
Output
8
Input
00001111
Output
4
Submitted Solution:
```
import sys
readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)
def main():
s = input()
l = len(s)
ans = l
for i in range(1, l):
if s[i] != s[i - 1]:
ans = min(ans, max(l - i, i))
print(ans)
if __name__ == '__main__':
main()
``` | instruction | 0 | 18,397 | 5 | 36,794 |
Yes | output | 1 | 18,397 | 5 | 36,795 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S consisting of `0` and `1`. Find the maximum integer K not greater than |S| such that we can turn all the characters of S into `0` by repeating the following operation some number of times.
* Choose a contiguous segment [l,r] in S whose length is at least K (that is, r-l+1\geq K must be satisfied). For each integer i such that l\leq i\leq r, do the following: if S_i is `0`, replace it with `1`; if S_i is `1`, replace it with `0`.
Constraints
* 1\leq |S|\leq 10^5
* S_i(1\leq i\leq N) is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum integer K such that we can turn all the characters of S into `0` by repeating the operation some number of times.
Examples
Input
010
Output
2
Input
100000000
Output
8
Input
00001111
Output
4
Submitted Solution:
```
s = input().strip()
ans = len(s)
for i in range(len(s)-1):
if s[i] != s[i+1]:
tmp = max((i + 1, len(s) - i - 1))
ans = min((ans, tmp))
print(ans)
``` | instruction | 0 | 18,398 | 5 | 36,796 |
Yes | output | 1 | 18,398 | 5 | 36,797 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S consisting of `0` and `1`. Find the maximum integer K not greater than |S| such that we can turn all the characters of S into `0` by repeating the following operation some number of times.
* Choose a contiguous segment [l,r] in S whose length is at least K (that is, r-l+1\geq K must be satisfied). For each integer i such that l\leq i\leq r, do the following: if S_i is `0`, replace it with `1`; if S_i is `1`, replace it with `0`.
Constraints
* 1\leq |S|\leq 10^5
* S_i(1\leq i\leq N) is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum integer K such that we can turn all the characters of S into `0` by repeating the operation some number of times.
Examples
Input
010
Output
2
Input
100000000
Output
8
Input
00001111
Output
4
Submitted Solution:
```
S = list(input())
def check(x):
print(S[len(S)-x:x])
for y in S[len(S)-x:x]:
if y != S[len(S)-x]: break
else:
return True
return False
def bisect(l,r):
if r - l == 1: return l
mid = (l+r) // 2
if check(mid) == False:
return bisect(l,mid)
else:
return bisect(mid,r)
print(bisect(1,len(S)+1))
``` | instruction | 0 | 18,400 | 5 | 36,800 |
No | output | 1 | 18,400 | 5 | 36,801 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S consisting of `0` and `1`. Find the maximum integer K not greater than |S| such that we can turn all the characters of S into `0` by repeating the following operation some number of times.
* Choose a contiguous segment [l,r] in S whose length is at least K (that is, r-l+1\geq K must be satisfied). For each integer i such that l\leq i\leq r, do the following: if S_i is `0`, replace it with `1`; if S_i is `1`, replace it with `0`.
Constraints
* 1\leq |S|\leq 10^5
* S_i(1\leq i\leq N) is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum integer K such that we can turn all the characters of S into `0` by repeating the operation some number of times.
Examples
Input
010
Output
2
Input
100000000
Output
8
Input
00001111
Output
4
Submitted Solution:
```
S = input()
N = int(S)
ans = S.count("0")
if ans > N:
ans = N
print(ans)
``` | instruction | 0 | 18,401 | 5 | 36,802 |
No | output | 1 | 18,401 | 5 | 36,803 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S consisting of `0` and `1`. Find the maximum integer K not greater than |S| such that we can turn all the characters of S into `0` by repeating the following operation some number of times.
* Choose a contiguous segment [l,r] in S whose length is at least K (that is, r-l+1\geq K must be satisfied). For each integer i such that l\leq i\leq r, do the following: if S_i is `0`, replace it with `1`; if S_i is `1`, replace it with `0`.
Constraints
* 1\leq |S|\leq 10^5
* S_i(1\leq i\leq N) is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum integer K such that we can turn all the characters of S into `0` by repeating the operation some number of times.
Examples
Input
010
Output
2
Input
100000000
Output
8
Input
00001111
Output
4
Submitted Solution:
```
s = input()
from itertools import *
if len(s) == 1:
print(1)
exit()
if len(s) == 2:
if s[0] != s[1]:
print(1)
else:
print(2)
exit()
print(max([2, max(len(list(v)) for k, v in groupby(s))]))
``` | instruction | 0 | 18,402 | 5 | 36,804 |
No | output | 1 | 18,402 | 5 | 36,805 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations:
* pushBack($x$): add element $x$ at the end of $A$
* randomAccess($p$):print element $a_p$
* popBack(): delete the last element of $A$
$A$ is a 0-origin array and it is empty in the initial state.
Constraints
* $1 \leq q \leq 200,000$
* $0 \leq p < $ the size of $A$
* $-1,000,000,000 \leq x \leq 1,000,000,000$
Input
The input is given in the following format.
$q$
$query_1$
$query_2$
:
$query_q$
Each query $query_i$ is given by
0 $x$
or
1 $p$
or
2
where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively.
randomAccess and popBack operations will not be given for an empty array.
Output
For each randomAccess, print $a_p$ in a line.
Example
Input
8
0 1
0 2
0 3
2
0 4
1 0
1 1
1 2
Output
1
2
4
Submitted Solution:
```
n = int(input())
my_list = []
for _ in range(n):
t = input().split()
if t[0] == "0":
my_list.append(int(t[1]))
elif t[0] == "1":
print(my_list[int(t[1])])
else:
my_list.pop(-1)
``` | instruction | 0 | 18,557 | 5 | 37,114 |
Yes | output | 1 | 18,557 | 5 | 37,115 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations:
* pushBack($x$): add element $x$ at the end of $A$
* randomAccess($p$):print element $a_p$
* popBack(): delete the last element of $A$
$A$ is a 0-origin array and it is empty in the initial state.
Constraints
* $1 \leq q \leq 200,000$
* $0 \leq p < $ the size of $A$
* $-1,000,000,000 \leq x \leq 1,000,000,000$
Input
The input is given in the following format.
$q$
$query_1$
$query_2$
:
$query_q$
Each query $query_i$ is given by
0 $x$
or
1 $p$
or
2
where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively.
randomAccess and popBack operations will not be given for an empty array.
Output
For each randomAccess, print $a_p$ in a line.
Example
Input
8
0 1
0 2
0 3
2
0 4
1 0
1 1
1 2
Output
1
2
4
Submitted Solution:
```
A = []
ans = []
for i in range(int(input())):
query = list(map(int, input().split()))
if(query[0] == 0):
A.append(query[1])
elif(query[0] == 1):
ans.append(A[query[1]])
else:
A.pop()
for i in range(len(ans)):
print(ans[i])
``` | instruction | 0 | 18,558 | 5 | 37,116 |
Yes | output | 1 | 18,558 | 5 | 37,117 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations:
* pushBack($x$): add element $x$ at the end of $A$
* randomAccess($p$):print element $a_p$
* popBack(): delete the last element of $A$
$A$ is a 0-origin array and it is empty in the initial state.
Constraints
* $1 \leq q \leq 200,000$
* $0 \leq p < $ the size of $A$
* $-1,000,000,000 \leq x \leq 1,000,000,000$
Input
The input is given in the following format.
$q$
$query_1$
$query_2$
:
$query_q$
Each query $query_i$ is given by
0 $x$
or
1 $p$
or
2
where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively.
randomAccess and popBack operations will not be given for an empty array.
Output
For each randomAccess, print $a_p$ in a line.
Example
Input
8
0 1
0 2
0 3
2
0 4
1 0
1 1
1 2
Output
1
2
4
Submitted Solution:
```
n = int(input())
commands = [input().split() for i in range(n)]
a = []
for command in commands:
if len(command) == 2:
if command[0] == '0':
a.append(int(command[1]))
elif command[0] == '1':
print(int(a[int(command[1])]))
else:
a.pop(len(a) - 1)
``` | instruction | 0 | 18,559 | 5 | 37,118 |
Yes | output | 1 | 18,559 | 5 | 37,119 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations:
* pushBack($x$): add element $x$ at the end of $A$
* randomAccess($p$):print element $a_p$
* popBack(): delete the last element of $A$
$A$ is a 0-origin array and it is empty in the initial state.
Constraints
* $1 \leq q \leq 200,000$
* $0 \leq p < $ the size of $A$
* $-1,000,000,000 \leq x \leq 1,000,000,000$
Input
The input is given in the following format.
$q$
$query_1$
$query_2$
:
$query_q$
Each query $query_i$ is given by
0 $x$
or
1 $p$
or
2
where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively.
randomAccess and popBack operations will not be given for an empty array.
Output
For each randomAccess, print $a_p$ in a line.
Example
Input
8
0 1
0 2
0 3
2
0 4
1 0
1 1
1 2
Output
1
2
4
Submitted Solution:
```
# -*- coding: utf-8 -*-
from collections import deque
n = int(input())
word = deque()
for i in range(n):
command, num = int(input().split())
if command == 0:
word.append(num)
elif command == 1:
print('{0}'.format(word[num]))
elif command == 2:
word.pop()
``` | instruction | 0 | 18,561 | 5 | 37,122 |
No | output | 1 | 18,561 | 5 | 37,123 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations:
* pushBack($x$): add element $x$ at the end of $A$
* randomAccess($p$):print element $a_p$
* popBack(): delete the last element of $A$
$A$ is a 0-origin array and it is empty in the initial state.
Constraints
* $1 \leq q \leq 200,000$
* $0 \leq p < $ the size of $A$
* $-1,000,000,000 \leq x \leq 1,000,000,000$
Input
The input is given in the following format.
$q$
$query_1$
$query_2$
:
$query_q$
Each query $query_i$ is given by
0 $x$
or
1 $p$
or
2
where the first digits 0, 1 and 2 represent pushBack, randomAccess and popBack operations respectively.
randomAccess and popBack operations will not be given for an empty array.
Output
For each randomAccess, print $a_p$ in a line.
Example
Input
8
0 1
0 2
0 3
2
0 4
1 0
1 1
1 2
Output
1
2
4
Submitted Solution:
```
cnt = int(input())
a = []
for i in range(cnt):
op,n = map(int,input().split())
if op == 0:
a.append(n)
elif op ==1:
print(a[n])
else:
a.pop(-1)
``` | instruction | 0 | 18,563 | 5 | 37,126 |
No | output | 1 | 18,563 | 5 | 37,127 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given an array a of n integers and an integer k (2 ≤ k ≤ n), where each element of the array is denoted by a_i (0 ≤ i < n). Perform the operation z given below on a and print the value of z(a,k) modulo 10^{9}+7.
function z(array a, integer k):
if length(a) < k:
return 0
else:
b = empty array
ans = 0
for i = 0 .. (length(a) - k):
temp = a[i]
for j = i .. (i + k - 1):
temp = max(temp, a[j])
append temp to the end of b
ans = ans + temp
return ans + z(b, k)
Input
The first line of input contains two integers n and k (2 ≤ k ≤ n ≤ 10^6) — the length of the initial array a and the parameter k.
The second line of input contains n integers a_0, a_1, …, a_{n - 1} (1 ≤ a_{i} ≤ 10^9) — the elements of the array a.
Output
Output the only integer, the value of z(a,k) modulo 10^9+7.
Examples
Input
3 2
9 1 10
Output
29
Input
5 3
5 8 7 1 9
Output
34
Note
In the first example:
* for a=(9,1,10), ans=19 and b=(9,10),
* for a=(9,10), ans=10 and b=(10),
* for a=(10), ans=0.
So the returned value is 19+10+0=29.
In the second example:
* for a=(5,8,7,1,9), ans=25 and b=(8,8,9),
* for a=(8,8,9), ans=9 and b=(9),
* for a=(9), ans=0.
So the returned value is 25+9+0=34.
Submitted Solution:
```
def z(a,k):
if len(a)<k:
return 0
else:
b=[]
ans=0
for i in range(0,len(a)-k+1):
temp=a[i]
for j in range(i,i+k):
temp=max(temp,a[j])
b.append(temp)
ans+=temp
return ans+z(b,k)
n,k=input().split()
m=list(map(int,input().split()))
b=z(m,int(k))
print(b)
``` | instruction | 0 | 18,566 | 5 | 37,132 |
No | output | 1 | 18,566 | 5 | 37,133 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given an array a of n integers and an integer k (2 ≤ k ≤ n), where each element of the array is denoted by a_i (0 ≤ i < n). Perform the operation z given below on a and print the value of z(a,k) modulo 10^{9}+7.
function z(array a, integer k):
if length(a) < k:
return 0
else:
b = empty array
ans = 0
for i = 0 .. (length(a) - k):
temp = a[i]
for j = i .. (i + k - 1):
temp = max(temp, a[j])
append temp to the end of b
ans = ans + temp
return ans + z(b, k)
Input
The first line of input contains two integers n and k (2 ≤ k ≤ n ≤ 10^6) — the length of the initial array a and the parameter k.
The second line of input contains n integers a_0, a_1, …, a_{n - 1} (1 ≤ a_{i} ≤ 10^9) — the elements of the array a.
Output
Output the only integer, the value of z(a,k) modulo 10^9+7.
Examples
Input
3 2
9 1 10
Output
29
Input
5 3
5 8 7 1 9
Output
34
Note
In the first example:
* for a=(9,1,10), ans=19 and b=(9,10),
* for a=(9,10), ans=10 and b=(10),
* for a=(10), ans=0.
So the returned value is 19+10+0=29.
In the second example:
* for a=(5,8,7,1,9), ans=25 and b=(8,8,9),
* for a=(8,8,9), ans=9 and b=(9),
* for a=(9), ans=0.
So the returned value is 25+9+0=34.
Submitted Solution:
```
def z(a, k):
if len(a)<k:
return 0
else:
b = []
ans = 0
for i in range(0, len(a)-k+1):
temp = a[i]
for j in range(i, i+k):
temp = max(temp, a[j])
b.append(temp)
ans = ans + temp
return ans+z(b, k)
nu = [int(x) for x in input().strip().split(" ")]
n, k = nu[0], nu[1]
a = [int(x) for x in input().strip().split(" ")]
print(z(a, k))
``` | instruction | 0 | 18,567 | 5 | 37,134 |
No | output | 1 | 18,567 | 5 | 37,135 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given an array a of n integers and an integer k (2 ≤ k ≤ n), where each element of the array is denoted by a_i (0 ≤ i < n). Perform the operation z given below on a and print the value of z(a,k) modulo 10^{9}+7.
function z(array a, integer k):
if length(a) < k:
return 0
else:
b = empty array
ans = 0
for i = 0 .. (length(a) - k):
temp = a[i]
for j = i .. (i + k - 1):
temp = max(temp, a[j])
append temp to the end of b
ans = ans + temp
return ans + z(b, k)
Input
The first line of input contains two integers n and k (2 ≤ k ≤ n ≤ 10^6) — the length of the initial array a and the parameter k.
The second line of input contains n integers a_0, a_1, …, a_{n - 1} (1 ≤ a_{i} ≤ 10^9) — the elements of the array a.
Output
Output the only integer, the value of z(a,k) modulo 10^9+7.
Examples
Input
3 2
9 1 10
Output
29
Input
5 3
5 8 7 1 9
Output
34
Note
In the first example:
* for a=(9,1,10), ans=19 and b=(9,10),
* for a=(9,10), ans=10 and b=(10),
* for a=(10), ans=0.
So the returned value is 19+10+0=29.
In the second example:
* for a=(5,8,7,1,9), ans=25 and b=(8,8,9),
* for a=(8,8,9), ans=9 and b=(9),
* for a=(9), ans=0.
So the returned value is 25+9+0=34.
Submitted Solution:
```
class Heap:
def __init__(self, compare=lambda x, y: x < y):
self.queue = []
self.items = []
self.pos = []
self.compare = compare
@staticmethod
def left_child(x): return x * 2 + 1
@staticmethod
def right_child(x): return x * 2 + 2
@staticmethod
def root(x): return (x - 1) // 2
def upheap(self, node):
queue = self.queue
pos = self.pos
child = node
parent = Heap.root(child)
while parent >= 0 and self.compare(self.items[queue[child]], self.items[queue[parent]]):
queue[child], queue[parent] = queue[parent], queue[child]
pos[queue[child]], pos[queue[parent]
] = pos[queue[parent]], pos[queue[child]]
child = parent
parent = Heap.root(child)
return child
def push(self, item):
queue = self.queue
pos = self.pos
node = len(queue)
queue.append(len(self.items))
pos.append(node)
self.items.append(item)
self.upheap(node)
def remove(self, item):
index = self.pos[item]
if index < 0:
return None, index
return self.pop(index), index
def pop(self, index=0):
queue = self.queue
pos = self.pos
node = index
len_queue = len(queue)
while node > 0:
parent = Heap.root(node)
queue[node], queue[parent] = queue[parent], queue[node]
pos[queue[node]], pos[queue[parent]
] = pos[queue[parent]], pos[queue[node]]
node = parent
if node == len_queue - 1:
return queue.pop()
u = queue[node]
pos[u] = -1
queue[node] = queue.pop()
pos[queue[node]] = node
len_queue -= 1
child = Heap.left_child(node)
while child < len_queue:
right = child + 1
if right < len_queue and self.compare(self.items[queue[right]], self.items[queue[child]]):
child = right
if not self.compare(self.items[queue[child]], self.items[queue[node]]):
break
queue[node], queue[child] = queue[child], queue[node]
pos[queue[node]], pos[queue[child]
] = pos[queue[child]], pos[queue[node]]
node = child
child = Heap.left_child(node)
return u
def z(a, n, k):
ans = 0
for _ in range(k, n + 1, k - 1):
heap = Heap(lambda x, y: x >= y)
for x in a[:k]:
heap.push(x)
b = [a[heap.queue[0]]]
ans += b[0]
for i in range(k, len(a)):
heap.remove(i - k)
heap.push(a[i])
b.append(a[heap.queue[0]])
ans += b[-1]
print(b)
a = b
return ans
def main():
n, k = input().split()
a = input().split()
n, k = int(n), int(k)
heap = Heap(lambda x, y: x >= y)
for x in a:
heap.push(int(x))
b = []
l = n
while l >= k:
l -= k - 1
b.append([0] * l)
while heap.queue:
index = heap.queue[0]
value = heap.items[heap.pop()]
l = n
i = 0
head = index
max_head = 0
while l >= k:
l -= k - 1
tail = min(l, index + 1)
if tail <= max_head:
break
head = max(head - k + 1, max_head)
for j in reversed(range(head, tail)):
if b[i][j] > 0:
max_head = j + 1
else:
b[i][j] = value
i += 1
# [print(x) for x in b]
# print(z(heap.items, n, k) % (10 ** 9 + 7))
print(sum(sum(x) for x in b) % (10 ** 9 + 7))
main()
``` | instruction | 0 | 18,568 | 5 | 37,136 |
No | output | 1 | 18,568 | 5 | 37,137 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given an array a of n integers and an integer k (2 ≤ k ≤ n), where each element of the array is denoted by a_i (0 ≤ i < n). Perform the operation z given below on a and print the value of z(a,k) modulo 10^{9}+7.
function z(array a, integer k):
if length(a) < k:
return 0
else:
b = empty array
ans = 0
for i = 0 .. (length(a) - k):
temp = a[i]
for j = i .. (i + k - 1):
temp = max(temp, a[j])
append temp to the end of b
ans = ans + temp
return ans + z(b, k)
Input
The first line of input contains two integers n and k (2 ≤ k ≤ n ≤ 10^6) — the length of the initial array a and the parameter k.
The second line of input contains n integers a_0, a_1, …, a_{n - 1} (1 ≤ a_{i} ≤ 10^9) — the elements of the array a.
Output
Output the only integer, the value of z(a,k) modulo 10^9+7.
Examples
Input
3 2
9 1 10
Output
29
Input
5 3
5 8 7 1 9
Output
34
Note
In the first example:
* for a=(9,1,10), ans=19 and b=(9,10),
* for a=(9,10), ans=10 and b=(10),
* for a=(10), ans=0.
So the returned value is 19+10+0=29.
In the second example:
* for a=(5,8,7,1,9), ans=25 and b=(8,8,9),
* for a=(8,8,9), ans=9 and b=(9),
* for a=(9), ans=0.
So the returned value is 25+9+0=34.
Submitted Solution:
```
def func(A,k):
if len(A) < k:
return 0
else:
b=[]
ans=0
for i in range(len(A)-k+1):
temp=A[i]
for j in range(i+k-1+1):
temp = max(temp, A[j])
b.append(temp);
# print("temp=",temp)
ans=ans+temp;
# print("ans=",ans)
return ans + func(b, k)
n,k=map(int,input().split())
L=list(map(int ,input().split()))
# print(L)
print(func(L,k))
``` | instruction | 0 | 18,569 | 5 | 37,138 |
No | output | 1 | 18,569 | 5 | 37,139 |
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