Gambling

#include <bits/stdc++.h>

using namespace std;

typedef bitset<20> bs;
typedef int64_t ll;
typedef pair<ll,ll> PLL;
typedef pair<int, pair<int,int>> PQ;

int main() {

  cout << std::setprecision(15);
  
  int n, c, s, p, w;
  cin >> n >> c >> s >> p >> w;

  int MAX = n+c+10;
  
  vector<double> prob (MAX);
  prob[c] = 1;

  double p_lose = (p-1)*1./s;
  
  for (int i=0; i<n; i++) {
    vector<double> pn (MAX);

    pn[0] = prob[0];
    
    for (int j=1; j<MAX; j++) {
      //Lose
      pn[j-1] += p_lose*prob[j];
      pn[min(MAX-1, j+w)] += (1-p_lose)*prob[j];
    }

    /*
    for (int j=0; j<MAX; j++) {
      std::cout << j << ":" << pn[j] << " ";
    }
    cout << endl;
    */

    swap(prob, pn);
  }

  double res = 0;
  for (int j=c+1; j<MAX; j++) {
    res += prob[j];
  }

  cout << res << endl;
}

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

Verdict: ACCEPTED

Test 4

Verdict: ACCEPTED

Test 5

Verdict: ACCEPTED

Test 6

Verdict: ACCEPTED

Test 7

Verdict: ACCEPTED

Test 8

Verdict: ACCEPTED

Test 9

Verdict: ACCEPTED

Test 10

Verdict: ACCEPTED

Test 11

Verdict: ACCEPTED

Test 12

Verdict: ACCEPTED

Test 13

Verdict: ACCEPTED

Test 14

Verdict: ACCEPTED

Test 15

Verdict: ACCEPTED

Test 16

Verdict: ACCEPTED

Test 17

Verdict: ACCEPTED

Test 18

Verdict: ACCEPTED

Test 19

Verdict: ACCEPTED

Test 20

Verdict: ACCEPTED

Test 21

Verdict: ACCEPTED

Test 22

Verdict: ACCEPTED

Test 23

Verdict: ACCEPTED

Test 24

Verdict: ACCEPTED

Test 25

Verdict: ACCEPTED

Test 26

Verdict: ACCEPTED