제출 #617800

#제출 시각아이디문제언어결과실행 시간메모리
617800Drew_Roller Coaster Railroad (IOI16_railroad)C++17
0 / 100
167 ms29900 KiB
#include "railroad.h" #include <bits/stdc++.h> using namespace std; #define pb push_back #define mp make_pair #define f1 first #define s2 second #define size(x) (int)x.size() using ll = long long; using ii = pair<int, int>; const ll inf = 1e18 + 69; namespace sub1 { ll solve(vector<int> s,vector<int> t) { int n = size(s); vector<ii> v(n); for (int i = 0; i < n; ++i) v[i] = {s[i], t[i]}; sort(v.begin(), v.end()); ll mn = inf; do { ll ctr = 0; for (int i = 0, cur = 1; i < n; ++i) { ctr += max(0, cur - v[i].f1); cur = v[i].s2; } mn = min(mn, ctr); if (ctr == 8) { for (auto [l, r] : v) cout << l << " " << r << " -- "; cout << '\n'; for (auto [l, r] : v) if (l < r) cout << l << " " << r << " __ "; cout << '\n'; for (auto [l, r] : v) if (l >= r) cout << l << " " << r << " -- "; cout << "\n\n"; } } while (next_permutation(v.begin(), v.end())); return mn; } } namespace sub2 { ll solve(vector<int> s, vector<int> t) { int N = size(s); vector<vector<ll>> dp(N, vector<ll>(1 << N, inf)); const auto rc = [&](const auto &self, int id, int mask) -> ll { if (mask == (1 << N) - 1) return 0; if (dp[id][mask] != inf) return dp[id][mask]; for (int i = 0; i < N; ++i) if (~mask >> i & 1) dp[id][mask] = min(dp[id][mask], max(0, t[id] - s[i]) + self(self, i, mask | (1 << i))); return dp[id][mask]; }; ll res = inf; for (int i = 0; i < N; ++i) res = min(res, rc(rc, i, 1 << i)); return res; } } namespace full { const int MAX = 4e5 + 69; int ds[MAX]; inline int frep(int x) { return ds[x] == x ? x : ds[x] = frep(ds[x]); } inline void join(int x, int y) { ds[frep(x)] = frep(y); } ll solve(vector<int> s, vector<int> t) { int n = size(s); vector<int> zip = {}; for (int x : s) zip.pb(x); for (int x : t) zip.pb(x); sort(zip.begin(), zip.end()); zip.resize(unique(zip.begin(), zip.end()) - zip.begin()); for (int &x : s) x = (int)(lower_bound(zip.begin(), zip.end(), x) - zip.begin()); for (int &x : t) x = (int)(lower_bound(zip.begin(), zip.end(), x) - zip.begin()); vector<ii> v(n); for (int i = 0; i < n; ++i) v.pb({s[i], t[i]}); sort(v.begin(), v.end()); vector<ll> pfx(size(zip), 0); pfx[0]--; for (int i = 0; i < size(zip); ++i) pfx[s[i]]++, pfx[t[i]]--; for (int i = 1; i < size(zip); ++i) pfx[i] += pfx[i-1]; ll res = 0; for (int i = 0; i+1 < size(zip); ++i) res += max(0ll, pfx[i]) * (zip[i+1] - zip[i]); iota(ds, ds + MAX, 0); for (int i = 0; i < n; ++i) join(s[i], t[i]); for (int i = 0; i+1 < size(zip); ++i) { if (pfx[i]) join(i, i+1); } vector<array<int, 3>> edges; for (int i = 0; i+1 < size(zip); ++i) { if (frep(i) != frep(i+1)) edges.pb({zip[i+1] - zip[i], frep(i), frep(i+1)}); } sort(edges.begin(), edges.end()); for (auto [w, u, v] : edges) { if (frep(u) != frep(v)) join(u, v), res += w; } return res; } } ll plan_roller_coaster(vector<int> s, vector<int> t) { return full :: solve(s, t); } // int main() { // mt19937 RNG(69); // const auto randint = [&](int l, int r) -> int // { // return uniform_int_distribution<int>(l, r)(RNG); // }; // for (int rep = 0; rep < 100; ++rep) // { // cerr << "rep " << rep << '\n'; // int n = 4; // vector<int> s(n), t(n); // for (int i = 0; i < n; ++i) // s[i] = randint(1, 10), t[i] = randint(1, 10); // int ans = full :: solve(s, t); // int key = sub2 :: solve(s, t); // if (ans != key) // { // cout << ans << " and " << key << "\n\n"; // cout << n << '\n'; // for (int i = 0; i < n; ++i) // cout << s[i] << " " << t[i] << '\n'; // return 0; // } // } // return 0; // }
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