Codeforces: 1906

2023-2024 ICPC, Asia Jakarta Regional Contest (Online Mirror, Unrated, ICPC Rules, Teams Preferred)

Codeforces/1906F.cpp

@@ -0,0 +1,88 @@
+/**
+ * @file 1906F.cpp
+ * @author Macesuted (i@macesuted.moe)
+ * @date 2024-09-12
+ *
+ * @copyright Copyright (c) 2024
+ *
+ */
+
+#include <bits/stdc++.h>
+using namespace std;
+
+#define endl '\n'
+#define maxn 1000005
+
+typedef pair<int, int> pii;
+typedef tuple<int, int, int> tiii;
+
+class SegmentTree {
+   private:
+    struct Node {
+        int64_t sum, ansl, ansr, ans;
+        Node(void) { sum = ansl = ansr = ans = 0; }
+        Node(int64_t v) { sum = ans = ansl = ansr = v; }
+        Node operator+(const Node& o) const {
+            Node ans;
+            ans.sum = this->sum + o.sum;
+            ans.ansl = max(this->ansl, this->sum + o.ansl);
+            ans.ansr = max(o.ansr, o.sum + this->ansr);
+            ans.ans = max({this->ans, o.ans, this->ansr + o.ansl});
+            return ans;
+        }
+    };
+
+    Node tree[maxn << 2];
+    int n;
+
+    void update(int p, int l, int r, int qp, int v) {
+        if (l == r) return tree[p] = Node(tree[p].sum + v), void();
+        int mid = (l + r) >> 1;
+        qp <= mid ? update(p << 1, l, mid, qp, v) : update(p << 1 | 1, mid + 1, r, qp, v);
+        return tree[p] = tree[p << 1] + tree[p << 1 | 1], void();
+    }
+    Node query(int p, int l, int r, int ql, int qr) {
+        if (ql <= l && r <= qr) return tree[p];
+        int mid = (l + r) >> 1;
+        if (qr <= mid) return query(p << 1, l, mid, ql, qr);
+        if (ql > mid) return query(p << 1 | 1, mid + 1, r, ql, qr);
+        return query(p << 1, l, mid, ql, qr) + query(p << 1 | 1, mid + 1, r, ql, qr);
+    }
+
+   public:
+    void resize(int _n) { return n = _n, void(); }
+    void update(int p, int v) { return update(1, 1, n, p, v); }
+    int64_t query(int l, int r) { return query(1, 1, n, l, r).ans; }
+};
+
+SegmentTree SGT;
+vector<pii> ops[maxn];
+vector<tiii> ques[maxn];
+int a[maxn];
+int64_t ans[maxn];
+
+void solve(void) {
+    int n, m;
+    cin >> n >> m;
+    for (int i = 1, l, r, v; i <= m; i++) cin >> l >> r >> v, ops[l].emplace_back(i, v), ops[r + 1].emplace_back(i, -v);
+    int q;
+    cin >> q;
+    for (int i = 1, p, l, r; i <= q; i++) cin >> p >> l >> r, ques[p].emplace_back(i, l, r);
+
+    SGT.resize(m);
+    for (int i = 1; i <= q; i++) {
+        for (auto [p, v] : ops[i]) SGT.update(p, v);
+        for (auto [id, l, r] : ques[i]) ans[id] = SGT.query(l, r);
+    }
+    for (int i = 1; i <= q; i++) cout << ans[i] << endl;
+    return;
+}
+
+int main() {
+    ios::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
+
+    int _ = 1;
+    while (_--) solve();
+
+    return 0;
+}

Codeforces/1906H.cpp

@@ -0,0 +1,70 @@
+/**
+ * @file 1906H.cpp
+ * @author Macesuted (i@macesuted.moe)
+ * @date 2024-09-12
+ *
+ * @copyright Copyright (c) 2024
+ *
+ */
+
+#include <bits/stdc++.h>
+using namespace std;
+
+#define maxn 200005
+#define mod 998244353
+
+int64_t qpow(int64_t a, int64_t x) {
+    int64_t ans = 1;
+    while (x) {
+        if (x & 1) ans = ans * a % mod;
+        a = a * a % mod, x >>= 1;
+    }
+    return ans;
+}
+int64_t inv(int64_t a) { return qpow(a, mod - 2); }
+
+int A[30], B[30];
+int64_t fac[maxn], ifac[maxn], f[30][maxn];
+
+int64_t C(int n, int m) { return fac[n] * ifac[m] % mod * ifac[n - m] % mod; }
+
+void solve(void) {
+    int n, m;
+    cin >> n >> m;
+    string SA, SB;
+    cin >> SA >> SB;
+
+    for (int i = 0; i < n; i++) A[SA[i] - 'A']++;
+    for (int i = 0; i < m; i++) B[SB[i] - 'A']++;
+
+    int64_t base = 1, sum = 0;
+    for (int i = 0; i < 26; i++) sum += A[i], base = base * C(sum, A[i]) % mod;
+
+    f[0][B[0]] = 1;
+    for (int i = 1; i < 26; i++) {
+        int64_t sum = 0;
+        for (int j = B[i - 1]; j > A[i - 1]; j--) sum = (sum + f[i - 1][j]) % mod;
+        for (int j = 0; j <= min(A[i - 1], B[i]); j++) {
+            sum = (sum + f[i - 1][A[i - 1] - j]) % mod;
+            f[i][B[i] - j] = sum * C(A[i - 1], j) % mod;
+        }
+    }
+    int64_t ans = 0;
+    for (int j = A[25]; j <= B[25]; j++) ans = (ans + f[25][j]) % mod;
+    cout << ans * base % mod << endl;
+    return;
+}
+
+int main() {
+    ios::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
+
+    fac[0] = ifac[0] = 1;
+    for (int i = 1; i < maxn; i++) fac[i] = fac[i - 1] * i % mod;
+    ifac[maxn - 1] = inv(fac[maxn - 1]);
+    for (int i = maxn - 2; i; i--) ifac[i] = ifac[i + 1] * (i + 1) % mod;
+
+    int _ = 1;
+    while (_--) solve();
+
+    return 0;
+}

Codeforces/1906J.cpp

@@ -0,0 +1,48 @@
+/**
+ * @file 1906J.cpp
+ * @author Macesuted (i@macesuted.moe)
+ * @date 2024-09-12
+ *
+ * @copyright Copyright (c) 2024
+ *
+ */
+
+#include <bits/stdc++.h>
+using namespace std;
+
+#define maxn 5005
+#define mod 998244353
+
+int a[maxn];
+int64_t f[maxn][maxn], g[maxn][maxn], pow2[maxn];
+
+void solve(void) {
+    int n;
+    cin >> n;
+    for (int i = 1; i <= n; i++) cin >> a[i];
+
+    f[1][0] = g[1][0] = 1;
+
+    for (int i = 2; i <= n; i++) {
+        for (int j = 1; j < i; j++) {
+            if (a[i - 1] < a[i]) f[i][j] = f[i - 1][j];
+            f[i][j] = (f[i][j] + g[i - 1][j - 1]) % mod;
+            f[i][j] = f[i][j] * pow2[i - j - 1] % mod;
+        }
+        for (int j = 1; j < i; j++) g[i][j] = (g[i][j - 1] + f[i][j]) % mod;
+    }
+    cout << g[n][n - 1] << endl;
+    return;
+}
+
+int main() {
+    ios::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
+
+    pow2[0] = 1;
+    for (int i = 1; i < maxn; i++) pow2[i] = pow2[i - 1] * 2 % mod;
+
+    int _ = 1;
+    while (_--) solve();
+
+    return 0;
+}

Codeforces/1906M.cpp

@@ -0,0 +1,35 @@
+/**
+ * @file 1906M.cpp
+ * @author Macesuted (i@macesuted.moe)
+ * @date 2024-09-12
+ *
+ * @copyright Copyright (c) 2024
+ *
+ */
+
+#include <bits/stdc++.h>
+using namespace std;
+
+#define maxn 200005
+
+int a[maxn];
+
+void solve(void) {
+    int n;
+    cin >> n;
+    int64_t sum = 0;
+    for (int i = 1; i <= n; i++) cin >> a[i], sum += a[i];
+    int64_t ans = sum / 3;
+    for (int i = 1; i <= n; i++) ans = min(ans, sum - a[i]);
+    cout << ans << endl;
+    return;
+}
+
+int main() {
+    ios::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
+
+    int _ = 1;
+    while (_--) solve();
+
+    return 0;
+}