#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#ifdef DEBUG
#include "debug.h"
#else
#define debug(...) ;
#endif
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define repp(i, n, m) for (int i = (n); i < (m); ++i)
#define repr(i, n) for (int i = (n) - 1; i >= 0; --i)
#define reppr(i, n, m) for (int i = (m) - 1; i >= (n); --i)
using vi = vector<int>;
using vvi = vector<vi>;
using vll = vector<ll>;
using pi = pair<int, int>;
using pll = pair<ll, ll>;
template <typename T, typename V> void mini(T& a, V b) {if (b < a) a = b; }
template <typename T, typename V> void maxi(T& a, V b) {if (b > a) a = b; }
void solve() {
int n, m;
cin >> n >> m;
string s;
cin >> s;
// assert(n == 1);
int a = 0, b = 16;
auto has = [&](int i){
if (i < 0 || i >= m || s[i] == '.')
return 0.0;
if (s[i] == 'O')
return 1.0;
else
return 0.5;
};
auto hasnot = [&](int i){
return 1.0 - has(i);
};
rep(i, m) {
double p1 = hasnot(i-1) * has(i) - hasnot(i-1) * has(i) * has(i+1) * hasnot(i+2);
debug(i, p1);
a += p1 * b;
}
int g = __gcd(a, b);
a /= g;
b /= g;
cout << a << '/' << b << '\n';
}
int main() {
#ifndef DEBUG
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
#endif
int z = 1;
// scanf("%d", &z);
while (z--)
solve();
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 | #include <bits/stdc++.h> using namespace std; using ll = long long; #ifdef DEBUG #include "debug.h" #else #define debug(...) ; #endif #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) #define rep(i, n) for (int i = 0; i < (n); ++i) #define repp(i, n, m) for (int i = (n); i < (m); ++i) #define repr(i, n) for (int i = (n) - 1; i >= 0; --i) #define reppr(i, n, m) for (int i = (m) - 1; i >= (n); --i) using vi = vector<int>; using vvi = vector<vi>; using vll = vector<ll>; using pi = pair<int, int>; using pll = pair<ll, ll>; template <typename T, typename V> void mini(T& a, V b) {if (b < a) a = b; } template <typename T, typename V> void maxi(T& a, V b) {if (b > a) a = b; } void solve() { int n, m; cin >> n >> m; string s; cin >> s; // assert(n == 1); int a = 0, b = 16; auto has = [&](int i){ if (i < 0 || i >= m || s[i] == '.') return 0.0; if (s[i] == 'O') return 1.0; else return 0.5; }; auto hasnot = [&](int i){ return 1.0 - has(i); }; rep(i, m) { double p1 = hasnot(i-1) * has(i) - hasnot(i-1) * has(i) * has(i+1) * hasnot(i+2); debug(i, p1); a += p1 * b; } int g = __gcd(a, b); a /= g; b /= g; cout << a << '/' << b << '\n'; } int main() { #ifndef DEBUG ios_base::sync_with_stdio(false); cin.tie(nullptr); #endif int z = 1; // scanf("%d", &z); while (z--) solve(); return 0; } |
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