📄 1852.cpp
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/* This Code is Submitted by wywcgs for Problem 1852 on 2005-12-21 at 11:29:41 */
#include <cstdio>
const int MAX = 128;
const int N_MAX = 10;
int main()
{
double p[MAX][N_MAX];
int n, k;
int i, j;
while(scanf("%d %d", &k, &n) != EOF) {
if(k == 0) {
printf("100.00000\n");
} else {
for(i = 1; i <= n; i++) {
for(j = 0; j <= k; j++) {
if(i == 1) p[i][j] = 100 / (double)(k+1);
else {
p[i][j] = p[i-1][j];
if(j != 0) p[i][j] += p[i-1][j-1];
if(j != k) p[i][j] += p[i-1][j+1];
p[i][j] /= k + 1;
}
}
}
double r = 0;
for(i = 0; i <= k; i++) {
r += p[n][i];
}
printf("%.5lf\n", r);
}
}
return 0;
}
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