Codeforces Gym: 2020-2021 ACM-ICPC Latin American Regional Programmin…

…g Contest

Codeforces Gym/103185C.cpp

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+/**
+ * @file 103185C.cpp
+ * @author Macesuted (i@macesuted.moe)
+ * @date 2024-09-09
+ *
+ * @copyright Copyright (c) 2024
+ *
+ */
+
+#include <bits/stdc++.h>
+using namespace std;
+
+#define maxn 100005
+
+int a[maxn], b[maxn], fa[maxn];
+int n;
+
+int getfa(int p) { return fa[p] == p ? p : fa[p] = getfa(fa[p]); }
+
+int64_t calc(void) {
+    int64_t tot = 0, v = 0;
+    for (int i = 1; i <= n; i++) b[i] = a[i], v += b[i];
+    v /= n;
+    for (int i = 1; i <= n; i++) fa[i] = (b[i] >= v ? i % n + 1 : i);
+    for (int i = 1; i <= n; i++) {
+        if (b[i] <= v) continue;
+        int p = getfa(i), rest = b[i] - v;
+        b[i] = v;
+        while (rest && b[p] + rest >= v)
+            rest -= v - b[p], tot += int64_t(v - b[p]) * ((p - i + n) % n), b[p] = v, p = fa[p] = getfa(p % n + 1);
+        if (rest) b[p] += rest, tot += rest * ((p - i + n) % n);
+    }
+    return tot;
+}
+
+void solve(void) {
+    cin >> n;
+    for (int i = 1; i <= n; i++) cin >> a[i];
+    int64_t ans = calc();
+    reverse(a + 1, a + n + 1);
+    cout << min(ans, calc()) << endl;
+    return;
+}
+
+int main() {
+    ios::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
+
+    int _ = 1;
+    while (_--) solve();
+
+    return 0;
+}

Codeforces Gym/103185H.cpp

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+/**
+ * @file 103185H.cpp
+ * @author Macesuted (i@macesuted.moe)
+ * @date 2024-09-09
+ *
+ * @copyright Copyright (c) 2024
+ *
+ */
+
+#include <bits/stdc++.h>
+using namespace std;
+
+class Dinic {
+   private:
+    struct Edge {
+        int to, cap, rev;
+    };
+
+    vector<vector<Edge>> graph;
+    vector<vector<Edge>::iterator> cur;
+    vector<int> dist;
+    queue<int> que;
+    int n, S, T;
+
+    bool bfs(void) {
+        for (int i = 1; i <= n; i++) dist[i] = INT_MAX, cur[i] = graph[i].begin();
+        que.push(S), dist[S] = 0;
+        while (!que.empty()) {
+            int p = que.front();
+            que.pop();
+            for (auto i : graph[p])
+                if (i.cap && dist[i.to] > dist[p] + 1) dist[i.to] = dist[p] + 1, que.push(i.to);
+        }
+        return dist[T] != INT_MAX;
+    }
+    int dfs(int p, int rest) {
+        if (p == T || !rest) return rest;
+        int used = 0, c;
+        for (auto i = cur[p]; i != graph[p].end() && rest; i++) {
+            cur[p] = i;
+            if (!i->cap || dist[i->to] != dist[p] + 1) continue;
+            if (!(c = dfs(i->to, min(rest, i->cap)))) dist[i->to] = -1;
+            i->cap -= c, graph[i->to][i->rev].cap += c, used += c, rest -= c;
+        }
+        return used;
+    }
+
+   public:
+    void resize(int _n) { return n = _n, graph.resize(n + 1), cur.resize(n + 1), dist.resize(n + 1); }
+    void addEdge(int from, int to, int cap) {
+        return graph[from].push_back(Edge{to, cap, (int)graph[to].size()}),
+               graph[to].push_back(Edge{from, 0, (int)graph[from].size() - 1});
+    }
+    int maxFlow(int _S, int _T) {
+        S = _S, T = _T;
+        int ans = 0;
+        while (bfs()) ans += dfs(S, INT_MAX);
+        return ans;
+    }
+};
+
+void solve(void) {
+    int n;
+    cin >> n;
+    int S = n + 1, T = n + 2;
+    Dinic dnc;
+    dnc.resize(T);
+    for (int i = 1; i <= n; i++) {
+        string op;
+        cin >> op;
+        if (op == "*") {
+            int v;
+            cin >> v;
+            int x = i, y = v;
+            if (x == 1) x = S;
+            if (y == 1) y = T;
+            dnc.addEdge(x, y, 1e8);
+        } else {
+            int m = stoi(op);
+            for (int j = 0, t; j < m; j++) {
+                cin >> t;
+                int x = i, y = t;
+                if (x == 1) x = S;
+                if (y == 1) y = T;
+                dnc.addEdge(x, y, 1);
+            }
+        }
+    }
+    int ans = dnc.maxFlow(S, T);
+    if (ans >= 1e8) return cout << '*' << endl, void();
+    cout << ans + 1 << endl;
+    return;
+}
+
+int main() {
+    ios::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
+
+    int _ = 1;
+    while (_--) solve();
+
+    return 0;
+}

Codeforces Gym/103185L.cpp

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+/**
+ * @file 103185L.cpp
+ * @author Macesuted (i@macesuted.moe)
+ * @date 2024-09-09
+ *
+ * @copyright Copyright (c) 2024
+ *
+ */
+
+#include <bits/stdc++.h>
+using namespace std;
+
+#define maxn 10005
+
+typedef pair<int, int> pii;
+
+pii a[maxn];
+
+int flr(int x, int y) { return x >= 0 ? x / y : (x / y - (x % y != 0)); }
+
+void solve(void) {
+    int n, X;
+    cin >> n >> X;
+    for (int i = 1, s, d; i <= n; i++) cin >> s >> d, a[i] = {s, s + d};
+    pii ans = {INT_MAX, INT_MAX};
+    for (int i = 0; i <= 480; i++) {
+        int tot = 0;
+        for (int j = 1; j <= n; j++) {
+            if (a[j].second < i) continue;
+            int l = max(-1, flr(a[j].first - 1 - i, X)), r = (a[j].second - i) / X;
+            tot += r - l;
+        }
+        ans = min(ans, pii{tot, i});
+    }
+    cout << ans.second << ' ' << ans.first << endl;
+    return;
+}
+
+int main() {
+    ios::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
+
+    int _ = 1;
+    while (_--) solve();
+
+    return 0;
+}