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CodeForces - 835C - Star sky (dp + 周期)

热度:116   发布时间:2023-11-06 18:10:39.0

The Cartesian coordinate system is set in the sky. There you can see n stars, the i-th has coordinates (xiyi), a maximum brightness c, equal for all stars, and an initial brightness si (0?≤?si?≤?c).

Over time the stars twinkle. At moment 0 the i-th star has brightness si. Let at moment t some star has brightness x. Then at moment (t?+?1) this star will have brightness x?+?1, if x?+?1?≤?c, and 0, otherwise.

You want to look at the sky q times. In the i-th time you will look at the moment tiand you will see a rectangle with sides parallel to the coordinate axes, the lower left corner has coordinates (x1iy1i) and the upper right — (x2iy2i). For each view, you want to know the total brightness of the stars lying in the viewed rectangle.

A star lies in a rectangle if it lies on its border or lies strictly inside it.

Input

The first line contains three integers nqc (1?≤?n,?q?≤?1051?≤?c?≤?10) — the number of the stars, the number of the views and the maximum brightness of the stars.

The next n lines contain the stars description. The i-th from these lines contains three integers xiyisi (1?≤?xi,?yi?≤?1000?≤?si?≤?c?≤?10) — the coordinates of i-th star and its initial brightness.

The next q lines contain the views description. The i-th from these lines contains five integers tix1iy1ix2iy2i (0?≤?ti?≤?1091?≤?x1i?<?x2i?≤?1001?≤?y1i?<?y2i?≤?100) — the moment of the i-th view and the coordinates of the viewed rectangle.

Output

For each view print the total brightness of the viewed stars.

Example
Input
2 3 3
1 1 1
3 2 0
2 1 1 2 2
0 2 1 4 5
5 1 1 5 5
Output
3
0
3
Input
3 4 5
1 1 2
2 3 0
3 3 1
0 1 1 100 100
1 2 2 4 4
2 2 1 4 7
1 50 50 51 51
Output
3
3
5
0
Note

Let's consider the first example.

At the first view, you can see only the first star. At moment 2 its brightness is 3, so the answer is 3.

At the second view, you can see only the second star. At moment 0 its brightness is 0, so the answer is 0.

At the third view, you can see both stars. At moment 5 brightness of the first is 2, and brightness of the second is 1, so the answer is 3.


注意星星到达最大亮度之后就会变回0;

开三维数组第一个变量代表时间。


#include<iostream>  
#include<cstdio>  
#include<cstring>  
#include<algorithm>
#include<cmath>  
using namespace std;
int ma[12][110][110];
int  n ,q ,c;
int main(){scanf("%d%d%d", &n, &q, &c);int x, y, s;for(int i = 0; i < n; i++){scanf("%d%d%d", &x,&y ,&s);for(int k = 0; k <= 10; k++){     //初始化11个时间 ma[k][x][y] += (s + k) % ( c + 1);   //应该是+=  }}for(int k = 0; k <= 10; k++)for(int i = 1; i <= 100; i++)for(int a = 1; a <= 100; a++){ma[k][i][a] += ma[k][i][a-1] + ma[k][i-1][a] - ma[k][i-1][a-1];      //写错加等于自己 } int x1, y1, x2, y2, ti;while(q--){scanf("%d%d%d%d%d", &ti, &x1, &y1, &x2, &y2);ti %= (c + 1);int te = ma[ti][x2][y2] - ma[ti][x1 -1][y2] -ma[ti][x2][y1-1] + ma[ti][x1 -1][y1 - 1];printf("%d\n", te);}return 0;
}


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