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Submission #611606

#TimeUsernameProblemLanguageResultExecution timeMemory
611606cheissmartMeetings (IOI18_meetings)C++14
100 / 100
3480 ms406448 KiB
#include "meetings.h" #include <bits/stdc++.h> #define IO_OP std::ios::sync_with_stdio(0); std::cin.tie(0); #define F first #define S second #define V vector #define PB push_back #define EB emplace_back #define MP make_pair #define SZ(v) int((v).size()) #define ALL(v) (v).begin(), (v).end() using namespace std; typedef long long ll; typedef pair<int, int> pi; typedef V<int> vi; const int INF = 1e9 + 7, N = 750005; const ll oo = 1e18; int n, q; bool f = false; pi max2(pi a, pi b) { if(a.F != b.F) return max(a, b); return min(a, b); } pi st[N][20]; int argmax(int L, int R) { // [L, R] int k = __lg(R - L + 1); if(f) return max2(st[L][k], st[R - (1 << k) + 1][k]).S; else return max(st[L][k], st[R - (1 << k) + 1][k]).S; }; ll ans[N]; vi G[N]; namespace segtree { struct node { ll l_val, r_val; ll m, b; ll lz; int tl, tr; node(ll val = 0) { l_val = r_val = val; m = b = lz = 0; } } t[N * 4]; void pull(int v) { t[v].l_val = t[v * 2].l_val; t[v].r_val = t[v * 2 + 1].r_val; } void apply_add(int v, ll x) { t[v].l_val += x, t[v].r_val += x; if(t[v].m) { t[v].b += x; } else { t[v].lz += x; } } void apply_set(int v, ll m, ll b) { t[v].l_val = t[v].tl * m + b; t[v].r_val = (t[v].tr - 1) * m + b; t[v].m = m, t[v].b = b; t[v].lz = 0; } void push(int v) { if(t[v].m) { // set apply_set(v * 2, t[v].m, t[v].b); apply_set(v * 2 + 1, t[v].m, t[v].b); t[v].m = t[v].b = 0; } else { // add apply_add(v * 2, t[v].lz); apply_add(v * 2 + 1, t[v].lz); t[v].lz = 0; } } void build(int v = 1, int tl = 0, int tr = n) { t[v] = node(); t[v].tl = tl, t[v].tr = tr; if(tr - tl == 1) return; int tm = (tl + tr) / 2; build(v * 2, tl, tm); build(v * 2 + 1, tm, tr); } void add(int l, int r, ll x, int v = 1, int tl = 0, int tr = n) { if(l <= tl && tr <= r) { apply_add(v, x); return; } push(v); int tm = (tl + tr) / 2; if(l < tm) add(l, r, x, v * 2, tl, tm); if(r > tm) add(l, r, x, v * 2 + 1, tm, tr); pull(v); } ll qry(int pos, int v = 1, int tl = 0, int tr = n) { if(tr - tl == 1) return t[v].l_val; push(v); int tm = (tl + tr) / 2; if(pos < tm) return qry(pos, v * 2, tl, tm); else return qry(pos, v * 2 + 1, tm, tr); } void cmin(int l, int r, ll m, ll b, int v = 1, int tl = 0, int tr = n) { if(l <= tl && tr <= r) { if(t[v].r_val >= m * (tr - 1) + b) { apply_set(v, m, b); return; } if(t[v].l_val <= m * tl + b) return; } push(v); int tm = (tl + tr) / 2; if(l < tm) cmin(l, r, m, b, v * 2, tl, tm); if(r > tm) cmin(l, r, m, b, v * 2 + 1, tm, tr); pull(v); } } // segtree using namespace segtree; int h[N], l[N], r[N]; void dfs(int L, int R) { // [L, R] if(L > R) return; int m = argmax(L, R); dfs(L, m - 1), dfs(m + 1, R); for(int i:G[m]) { ll cur = 1LL * (m - l[i] + 1) * h[m]; assert(L <= l[i] && r[i] <= R); if(r[i] > m) cur += qry(r[i]); ans[i] = min(ans[i], cur); } add(m, R + 1, 1LL * (m - L + 1) * h[m]); if(L < m) cmin(m, R + 1, h[m], qry(m - 1) - 1LL * h[m] * (m - 1)); } void solve() { for(int i = 0; i < n; i++) st[i][0] = {h[i], i}; for(int j = 1; j < 20; j++) for(int i = 0; i + (1 << j) - 1 < n; i++) { if(f) st[i][j] = max2(st[i][j - 1], st[i + (1 << (j - 1))][j - 1]); else st[i][j] = max(st[i][j - 1], st[i + (1 << (j - 1))][j - 1]); } for(int i = 0; i < q; i++) G[argmax(l[i], r[i])].PB(i); build(); dfs(0, n - 1); for(int i = 0; i < n; i++) G[i].clear(); } V<ll> minimum_costs(vi _h, vi _l, vi _r) { n = SZ(_h), q = SZ(_l); for(int i = 0; i < n; i++) h[i] = _h[i]; for(int i = 0; i < q; i++) l[i] = _l[i], r[i] = _r[i], ans[i] = oo; solve(); reverse(h, h + n); for(int i = 0; i < q; i++) { swap(l[i], r[i]); l[i] = n - l[i] - 1, r[i] = n - r[i] - 1; } f = true; solve(); V<ll> tt; for(int i = 0; i < q; i++) tt.PB(ans[i]); return tt; }
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