Submission #1321095

#TimeUsernameProblemLanguageResultExecution timeMemory
1321095kasamchiWiring (IOI17_wiring)C++20
30 / 100
1096 ms20164 KiB
#include "wiring.h" #include <bits/stdc++.h> using namespace std; struct Node { long long val, tag; Node (void) : val(0), tag(0) {} }; vector<Node> SEG; #define L(x) ((x) + (x)) #define R(x) (L(x) + 1) void push(int id) { SEG[L(id)].val += SEG[id].tag; SEG[R(id)].val += SEG[id].tag; SEG[L(id)].tag += SEG[id].tag; SEG[R(id)].tag += SEG[id].tag; SEG[id].tag = 0; } void mod(int ml, int mr, int l, int r, long long x, int id) { if (ml <= l && r <= mr) { SEG[id].val += x; SEG[id].tag += x; } else { push(id); int m = l + (r - l) / 2; if (ml <= m) { mod(ml, mr, l, m, x, L(id)); } if (mr > m) { mod(ml, mr, m + 1, r, x, R(id)); } SEG[id].val = min(SEG[L(id)].val, SEG[R(id)].val); } } long long qry(int ql, int qr, int l, int r, int id) { if (ql <= l && r <= qr) { return SEG[id].val; } else { push(id); int m = l + (r - l) / 2; long long ret = 1e18; if (ql <= m) { ret = min(ret, qry(ql, qr, l, m, L(id))); } if (qr > m) { ret = min(ret, qry(ql, qr, m + 1, r, R(id))); } return ret; } } long long min_total_length(vector<int> r, vector<int> b) { int N = r.size() + b.size(); int ridx = 0, bidx = 0; vector<int> pos = {0}, col = {0}; while (ridx < r.size() || bidx < b.size()) { if (bidx == b.size()) { pos.push_back(r[ridx]); col.push_back(0); ridx++; } else if (ridx == r.size()) { pos.push_back(b[bidx]); col.push_back(1); bidx++; } else if (r[ridx] < b[bidx]) { pos.push_back(r[ridx]); col.push_back(0); ridx++; } else { pos.push_back(b[bidx]); col.push_back(1); bidx++; } } vector<pair<int, int>> seg; for (int i = 1; i <= N; ) { int j = i; while (j <= N && col[i] == col[j]) { j++; } seg.push_back(make_pair(i, j - 1)); i = j; } vector<long long> pre(N + 1); for (int i = 1; i <= N; i++) { pre[i] = pre[i - 1] + pos[i]; } vector<long long> dp(N + 1, (long long)1e18); SEG.clear(), SEG.resize(N * 4); for (int sid = 1; sid < seg.size(); sid++) { int clb = seg[sid].first, crb = seg[sid].second; int plb = seg[sid - 1].first, prb = seg[sid - 1].second; int psz = prb - plb + 1; vector<long long> dqb(psz); for (int i = 0, p = plb; i < psz; i++, p++) { dqb[i] += min(dp[p - 1], dp[p]); dqb[i] += pre[p - 1] - pre[plb - 1]; } mod(plb, plb, 1, N, dqb[0], 1); for (int i = 1; i < psz; i++) { mod(plb + i, plb + i, 1, N, -dqb[i - 1] + dqb[i], 1); } for (int c = clb; c <= crb; c++) { int csz = c - clb + 1; long long sum = 0; sum += pre[c] - pre[clb - 1]; sum -= pre[prb] - pre[plb - 1]; if (psz <= csz) { sum -= (long long)pos[prb] * (csz - psz); } else { sum += (long long)pos[clb] * (psz - csz); } if (sid == 1) { dp[c] = sum; } else { vector<pair<pair<int, int>, long long>> ops; mod(plb, plb, 1, N, sum, 1); ops.push_back(make_pair(make_pair(plb, plb), sum)); if (1 <= psz - csz) { mod(plb + 1, plb + (psz - csz), 1, N, -pos[clb], 1); ops.push_back(make_pair(make_pair(plb + 1, plb + (psz - csz)), -pos[clb])); } if (max(0, psz - csz) + 1 < psz) { mod(plb + (max(0, psz - csz) + 1), plb + (psz - 1), 1, N, -pos[prb], 1); ops.push_back(make_pair(make_pair(plb + (max(0, psz - csz) + 1), plb + (psz - 1)), -pos[prb])); } long long cur = 0; for (int i = 0, p = plb; i < psz; i++, p++) { cur += qry(p, p, 1, N, 1); dp[c] = min(dp[c], cur); } for (auto &[pos, val] : ops) { mod(pos.first, pos.second, 1, N, -val, 1); } } } } return dp[N]; }
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