Submission #908082

#TimeUsernameProblemLanguageResultExecution timeMemory
908082gaga999Let's Win the Election (JOI22_ho_t3)C++17
100 / 100
12 ms600 KiB
#include <cstdio> #include <stdio.h> #include <iostream> #include <math.h> #include <vector> #include <queue> #include <stack> #include <deque> #include <algorithm> #include <utility> #include <set> #include <map> #include <stdlib.h> #include <cstring> #include <string.h> #include <string> #include <sstream> #include <assert.h> #include <climits> #include <sstream> #include <numeric> #include <time.h> #include <limits.h> #include <list> #include <bitset> #include <unordered_map> #include <unordered_set> #include <random> #include <iomanip> #include <complex> #include <chrono> #include <fstream> #include <functional> #include <unistd.h> // #pragma GCC optimize("Ofast,no-stack-protector") // #pragma GCC optimize("O3,unroll-loops") // #pragma GCC target("avx,avx2,bmi,bmi2,lzcnt,popcnt") #define lowbit(x) ((x) & -(x)) #define ml(a, b) ((1ll * (a) * (b)) % M) #define tml(a, b) (a) = ((1ll * (a) * (b)) % M) #define ad(a, b) ((0ll + (a) + (b)) % M) #define tad(a, b) (a) = ((0ll + (a) + (b)) % M) #define mi(a, b) ((0ll + M + (a) - (b)) % M) #define tmi(a, b) (a) = ((0ll + M + (a) - (b)) % M) #define tmin(a, b) (a) = min((a), (b)) #define tmax(a, b) (a) = max((a), (b)) #define iter(a) (a).begin(), (a).end() #define riter(a) (a).rbegin(), (a).rend() #define init(a, b) memset((a), (b), sizeof(a)) #define cpy(a, b) memcpy((a), (b), sizeof(a)) #define uni(a) a.resize(unique(iter(a)) - a.begin()) #define pb emplace_back #define mpr make_pair #define ls(i) ((i) << 1) #define rs(i) ((i) << 1 | 1) #define INF 0x3f3f3f3f #define NIF 0xc0c0c0c0 #define eps 1e-9 #define F first #define S second #define AC cin.tie(0)->sync_with_stdio(0) using namespace std; typedef long long llt; typedef pair<int, int> pii; typedef pair<double, double> pdd; typedef pair<llt, llt> pll; typedef complex<double> cd; // const int M = 998244353; // random_device rm; // mt19937 rg(rm()); // default_random_engine rg(rm()); // uniform_int_distribution<int> rd(INT_MIN, INT_MAX); // uniform_real_distribution<double> rd(0, M_PI); void db() { cerr << "\n"; } template <class T, class... U> void db(T a, U... b) { cerr << a << " ", db(b...); } inline char gc() { const static int SZ = 1 << 16; static char buf[SZ], *p1, *p2; if (p1 == p2 && (p2 = buf + fread(p1 = buf, 1, SZ, stdin), p1 == p2)) return -1; return *p1++; } void rd() {} template <typename T, typename... U> void rd(T &x, U &...y) { x = 0; bool f = 0; char c = gc(); while (!isdigit(c)) f ^= !(c ^ 45), c = gc(); while (isdigit(c)) x = (x << 1) + (x << 3) + (c ^ 48), c = gc(); f && (x = -x), rd(y...); } template <typename T> void prt(T x) { if (x < 0) putchar('-'), x = -x; if (x > 9) prt(x / 10); putchar((x % 10) ^ 48); } const int N = 505; pii ar[N]; int ps[N]; float dp[N]; signed main() { int n, k; rd(n, k); for (int i = 0; i < n; i++) { rd(ar[i].S, ar[i].F); if (!~ar[i].F) ar[i].F = INF; } sort(ar, ar + n); { priority_queue<int, vector<int>, greater<int>> pq; for (int i = n - 1; i >= k; i--) pq.push(ar[i].S); for (int i = k - 1; i >= 0; i--) pq.push(ar[i].S), ps[i] = ps[i + 1] + pq.top(), pq.pop(); } float ans = ps[0]; auto slv = [&](int t) -> float { fill(dp, dp + t + 1, 1e12), dp[0] = 0; float res = 1e12; for (int i = 0; i < n; i++) { for (int j = t; j >= 0; j--) { dp[j] += ar[i].S / float(t + 1); if (j) tmin(dp[j], dp[j - 1] + ar[i].F / float(j)); } tmin(res, dp[t] + ps[i + 1] / float(t + 1)); } return res; }; int l = 1, r = k - 1; while (l < r - 2) { int m1 = (l * 2 + r) / 3, m2 = (l + r * 2) / 3; if (slv(m1) < slv(m2)) r = m2; else l = m1; } for (int i = l; i <= r; i++) tmin(ans, slv(i)); printf("%.10f\n", ans); }
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