Codeforces 606 B Testing Robots【模拟】

B. Testing Robots

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

The Cybernetics Failures (CF) organisation made a prototype of a bomb technician robot. To find the possible problems it was decided to carry out a series of tests. At the beginning of each test the robot prototype will be placed in cell (x0, y0) of a rectangular squared field of size x × y, after that a mine will be installed into one of the squares of the field. It is supposed to conduct exactly x·y tests, each time a mine is installed into a square that has never been used before. The starting cell of the robot always remains the same.

After placing the objects on the field the robot will have to run a sequence of commands given by strings, consisting only of characters 'L', 'R', 'U', 'D'. These commands tell the robot to move one square to the left, to the right, up or down, or stay idle if moving in the given direction is impossible. As soon as the robot fulfills all the sequence of commands, it will blow up due to a bug in the code. But if at some moment of time the robot is at the same square with the mine, it will also blow up, but not due to a bug in the code.

Moving to the left decreases coordinate y, and moving to the right increases it. Similarly, moving up decreases thex coordinate, and moving down increases it.

The tests can go on for very long, so your task is to predict their results. For eachk from0 tolength(s) your task is to find in how many tests the robot will run exactly k commands before it blows up.

Input

The first line of the input contains four integersx,y,x0,y0 (1 ≤ x, y ≤ 500, 1 ≤ x0 ≤ x, 1 ≤ y0 ≤ y) — the sizes of the field and the starting coordinates of the robot. The coordinate axisX is directed downwards and axisY is directed to the right.

The second line contains a sequence of commandss, which should be fulfilled by the robot. It has length from1 to100 000 characters and only consists of characters 'L', 'R', 'U', 'D'.

Output

Print the sequence consisting of (length(s) + 1) numbers. On the k-th position, starting with zero, print the number of tests where the robot will run exactlyk commands before it blows up.

Examples

Input

3 4 2 2
UURDRDRL

Output

1 1 0 1 1 1 1 0 6

Input

2 2 2 2
ULD

Output

1 1 1 1

Note

In the first sample, if we exclude the probable impact of the mines, the robot's route will look like that:.

 

题目大意：

第一行输入四个数，前两个数表示矩阵的大小，后两个数表示起点（1,1为左上角的一个矩阵）。

然后由一串指令，对应指令进行上下左右四个方向的移动，对应没有走过的点，输出1，对应走过的点输出0，最后一个数表示有多少个点没有走过。

对应如果下一步将走出边界，那么相当于没走

思路：

模拟即可。

Ac代码：

#include<stdio.h>#include<string.h>using namespace std;int vis[505][505];char a[1000000];int main(){    int n,m,x,y;    while(~scanf("%d%d%d%d",&n,&m,&x,&y))    {        memset(vis,0,sizeof(vis));        scanf("%s",a);        int lena=strlen(a);        printf("1 ");        vis[x][y]=1;        for(int i=0;i<lena;i++)        {            int tmpx=x;            int tmpy=y;            if(a[i]=='U')x--;            if(a[i]=='D')x++;            if(a[i]=='L')y--;            if(a[i]=='R')y++;            if(x<1||x>n)x=tmpx;            if(y<1||y>m)y=tmpy;            if(i==lena-1)            {                break;            }            if(vis[x][y]==1)            {                printf("0 ");            }            else printf("1 ");            vis[x][y]=1;        }        int output=0;        for(int i=1;i<=n;i++)        {            for(int j=1;j<=m;j++)            {                if(vis[i][j]==0)output++;            }        }        printf("%d\n",output);    }}