Submission #871855

#TimeUsernameProblemLanguageResultExecution timeMemory
871855HorizonWestLet's Win the Election (JOI22_ho_t3)C++17
0 / 100
2556 ms1002816 KiB
#include <bits/stdc++.h> using namespace std; #define endl '\n' #define db double #define ll __int128 #define int long long #define pb push_back #define fs first #define sd second #define Mod long(1e9 + 7) #define all(x) x.begin(), x.end() #define unvisited long(-1) #define Eps double(1e-9) #define _for(i, n) for(int i = 0; i < (n); i++) #define dbg(x) cout << #x ": " << x << endl; const int Max = 1e6 + 7, Inf = 1e9 + 7; void print(bool x) { cout << (x ? "YES" : "NO") << endl; } string tostring (__int128 x) { string ans = ""; while(x > 0) { ans += (x % 10 + '0'); x /= 10; } reverse(all(ans)); return ans; } void printdb(double ans, int k) { cout << setiosflags(ios::fixed) << setiosflags(ios::showpoint) << setprecision(k) << ans << endl; } pair <db, db> fmin(pair<db, db> a, pair <db, db> b, db j) { if(db(a.fs + a.sd / j) < db(b.fs + b.sd / j)) return a; else return b; } int prec(vector <pair<db, db>> a, vector <pair<db, db>> b, int n, int m) { vector <db> take(n, 1); for(db i = 1; i <= m; i++) { db Z1 = 0.0, Z2 = b[i-1].fs / i; int cnt = i - 1; //cerr << b[i-1].fs << endl; for(int j = 0; j < n; j++) { //cerr << a[j].fs << " "; if(cnt == m) break; Z1 += take[a[j].sd] * a[j].fs / i; cnt += take[a[j].sd]; } cnt = i; take[b[i-1].sd] = 0; for(int j = 0; j < n; j++) { if(cnt == m) break; Z2 += take[a[j].sd] * a[j].fs / (i + 1); cnt += take[a[j].sd]; } //cerr << Z1 << " " << Z2 << endl; if(Z1 <= Z2) return i; } return m; } void solve() { int n, m; cin >> n >> m; vector <pair<db, db>> v(n), a(n), b(n); for(int i = 0; i < n; i++) { cin >> v[i].sd >> v[i].fs; if(v[i].fs == -1) v[i].fs = Inf; a[i].fs = v[i].sd; b[i].fs = v[i].fs; a[i].sd = b[i].sd = i; } sort(all(v)); sort(all(a)); sort(all(b)); db ans = Inf; int fx = prec(a, b, n, m); //cerr << fx << endl; for(db l = fx-2; l <= min(fx + 2, m); l++) { vector <vector<vector<db>>> dp(n + 2, vector <vector<db>> ( m + 2, vector <db> (m + 2, Inf) )); dp[0][1][0] = 0.000; for(db i = 0; i < n; i++) { for(db j = 1; j <= l; j++) { for(db k = 0; k <= m; k++) { dp[i+1][j][k] = min(dp[i+1][j][k], dp[i][j][k]); dp[i+1][j][k+1] = min(dp[i+1][j][k+1], dp[i][j][k] + v[i].sd / l); if(v[i].fs != Inf) { dp[i+1][j+1][k+1] = min(dp[i+1][j+1][k+1], dp[i][j][k] + v[i].fs / j); } } } ans = min(ans, dp[i+1][l][m]); } } printdb(ans, 5); } int32_t main() { ios_base::sync_with_stdio(0); cin.tie(0); int Q = 1; //cin >> Q; while (Q--) { solve(); } return 0; }
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