From 885f9e76f8e65014bd24deef2cd09b8026ae4a86 Mon Sep 17 00:00:00 2001 From: Baoshuo Date: Sun, 29 Jan 2023 15:09:55 +0800 Subject: [PATCH] =?UTF-8?q?#3097.=20=E3=80=8CSNOI2019=E3=80=8D=E9=80=9A?= =?UTF-8?q?=E4=BF=A1?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit https://loj.ac/s/1686309 --- LibreOJ/3097/3097.cpp | 174 +++++++++++++++++++++++++++++++++++++ LibreOJ/3097/data/1.1.in | 3 + LibreOJ/3097/data/1.1.out | 3 + LibreOJ/3097/data/1.2.in | 3 + LibreOJ/3097/data/1.2.out | 3 + LibreOJ/3097/data/1.3.in | 3 + LibreOJ/3097/data/1.3.out | 3 + LibreOJ/3097/data/10.1.in | 3 + LibreOJ/3097/data/10.1.out | 3 + LibreOJ/3097/data/10.2.in | 3 + LibreOJ/3097/data/10.2.out | 3 + LibreOJ/3097/data/10.3.in | 3 + LibreOJ/3097/data/10.3.out | 3 + LibreOJ/3097/data/10.4.in | 3 + LibreOJ/3097/data/10.4.out | 3 + LibreOJ/3097/data/10.5.in | 3 + LibreOJ/3097/data/10.5.out | 3 + LibreOJ/3097/data/10.6.in | 3 + LibreOJ/3097/data/10.6.out | 3 + 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dist[s] = 0; + vis[s] = true; + + while (!q.empty()) { + int u = q.front(); + q.pop(); + + vis[u] = false; + + for (int i = head[u]; ~i; i = next[i]) { + int v = ver[i], + flow = edge[i].first, + cost = edge[i].second; + + if (flow && dist[v] > dist[u] + cost) { + dist[v] = dist[u] + cost; + + if (!vis[v]) { + q.emplace(v); + vis[v] = true; + } + } + } + } + + return dist[t] != INF; +} + +int dinic(int u, int limit) { + if (u == t) return limit; + + int flow = 0; + + vis[u] = true; + + for (int i = head[u]; ~i && flow < limit; i = next[i]) { + int v = ver[i], + f = edge[i].first, + w = edge[i].second; + + if (dist[v] == dist[u] + w && f && !vis[v]) { + int k = dinic(v, std::min(f, limit - flow)); + + if (!k) dist[v] = INF; + + edge[i].first -= k; + edge[i ^ 1].first += k; + flow += k; + cost += k * w; + } + } + + vis[u] = false; + + return flow; +} + +void solve(int l, int r) { + if (l == r) return; + + int mid = (l + r) >> 1; + + solve(l, mid); + solve(mid + 1, r); + + std::vector nums; + + for (int i = l; i <= r; i++) { + nums.emplace_back(a[i]); + } + + std::sort(nums.begin(), nums.end()); + nums.erase(std::unique(nums.begin(), nums.end()), nums.end()); + + for (int i = 0; i < nums.size() - 1; i++) { + add(tot + 1 + i, tot + 1 + i + 1, INF, nums[i + 1] - nums[i]); + add(tot + 1 + i + 1, tot + 1 + i, 0, -(nums[i + 1] - nums[i])); + + add(tot + 1 + i + 1, tot + 1 + i, INF, nums[i + 1] - nums[i]); + add(tot + 1 + i, tot + 1 + i + 1, 0, -(nums[i + 1] - nums[i])); + } + + for (int i = l; i <= r; i++) { + int pos = std::lower_bound(nums.begin(), nums.end(), a[i]) - nums.begin(); + + if (i <= mid) { + add(tot + 1 + pos, pos2[i], 1, 0); + add(pos2[i], tot + 1 + pos, 0, 0); + } else { + add(pos1[i], tot + 1 + pos, 1, 0); + add(tot + 1 + pos, pos1[i], 0, 0); + } + } + + tot += nums.size(); +} + +int main() { + std::ios::sync_with_stdio(false); + cin.tie(nullptr); + + std::fill(std::begin(head), std::end(head), -1); + + cin >> n >> w; + + for (int i = 1; i <= n; i++) { + cin >> a[i]; + } + + s = 0, t = ++tot; + + for (int i = 1; i <= n; i++) { + pos1[i] = ++tot; + pos2[i] = ++tot; + + // S -> i_1 + add(s, pos1[i], 1, 0); + add(pos1[i], s, 0, 0); + + // i_1 -> T + add(pos1[i], t, 1, w); + add(t, pos1[i], 0, -w); + + // i_2 -> T + add(pos2[i], t, 1, 0); + add(t, pos2[i], 0, 0); + } + + solve(1, n); + + while (spfa()) { + while (dinic(s, INF)) {} + } + + cout << cost << endl; + + return 0; +} diff --git a/LibreOJ/3097/data/1.1.in b/LibreOJ/3097/data/1.1.in new file mode 100644 index 00000000..fd902837 --- /dev/null +++ b/LibreOJ/3097/data/1.1.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:aea11b7d5d9ea68b773d25a283d339f187812f29a2a5461ff7eaa9bcf8af4476 +size 56 diff --git a/LibreOJ/3097/data/1.1.out b/LibreOJ/3097/data/1.1.out new file mode 100644 index 00000000..eaae0f56 --- /dev/null +++ b/LibreOJ/3097/data/1.1.out @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid 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