UVA 10081 Tight numbers(POJ 2537)

#include <map>
#include <set>
#include <list>
#include <cmath>
#include <ctime>
#include <deque>
#include <stack>
#include <queue>
#include <cctype>
#include <cstdio>
#include <string>
#include <vector>
#include <climits>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <algorithm>
#define LL long long
#define PI 3.1415926535897932626
using namespace std;
int gcd(int a, int b) {return a % b == 0 ? b : gcd(b, a % b);}
double dp[105][15];
int N,K;
void slove()
{
    if (K <= 1) {puts("100.00000");return;}
    for (int i = 0 ;i < 105; i++) for (int j = 0;j <15; j++) dp[i][j]=0.0;
    for (int i = 0 ;i <= K; i++) dp[1][i]=100.0/(double)(K+1);
    for (int i = 2; i <= N; i++)
    {
        dp[i][0] = 1.0/(double)(K+1) * ( dp[i-1][0] + dp[i-1][1]);
        for (int j = 1; j <= K ; j++)
        {
            if (j == K) dp[i][j] = 1.0/(double)(K+1) * (dp[i-1][K] + dp[i-1][K-1]);
            else  dp[i][j] = 1.0/(double)(K+1) * (dp[i-1][j-1] + dp[i-1][j] + dp[i-1][j+1]);
        }
    }
    double ans=0.0;
    for (int i = 0 ;i <= K; i ++) ans+=dp[N][i];
    printf("%.5lf\n",ans);
}
int main()
{
    while (scanf("%d%d",&K,&N)!=EOF)
    slove();
    return 0;
}