#10129. 「一本通 4.3 练习 3」维护序列

https://loj.ac/s/1004217
2024-12-24 17:32:00 +00:00 · 2021-01-03 00:10:37 +08:00 · 2021-01-03 00:10:37 +08:00 · e5537e4602
commit e5537e4602
parent 2472ddce52
1 changed files with 95 additions and 0 deletions
--- a/LibreOJ/10129/10129.cpp
+++ b/LibreOJ/10129/10129.cpp
@ -0,0 +1,95 @@
+#include <bits/stdc++.h>
+
+using namespace std;
+
+struct node {
+    int l, r;
+    long long s, d, x;
+
+    node() {
+        l = r = s = d = 0;
+        x = 1;
+    }
+    node(int _l, int _r) {
+        l = _l, r = _r;
+        s = d = 0;
+        x = 1;
+    }
+} tr[100005 << 2];
+int n, m, p, op, x, y;
+long long k, a[100005];
+
+void pushup(int u) {
+    tr[u].s = (tr[u << 1].s + tr[u << 1 | 1].s) % p;
+}
+
+void pushdown(int u) {
+    tr[u << 1].s = ((tr[u << 1].s * tr[u].x) + (tr[u << 1].r - tr[u << 1].l + 1) * tr[u].d) % p;
+    tr[u << 1].x = tr[u << 1].x * tr[u].x % p;
+    tr[u << 1].d = (tr[u << 1].d * tr[u].x + tr[u].d) % p;
+    tr[u << 1 | 1].s = ((tr[u << 1 | 1].s * tr[u].x) + (tr[u << 1 | 1].r - tr[u << 1 | 1].l + 1) * tr[u].d) % p;
+    tr[u << 1 | 1].x = tr[u << 1 | 1].x * tr[u].x % p;
+    tr[u << 1 | 1].d = (tr[u << 1 | 1].d * tr[u].x + tr[u].d) % p;
+    tr[u].d = 0;
+    tr[u].x = 1;
+}
+
+void build(int u, int l, int r) {
+    tr[u] = node(l, r);
+    if (l == r) {
+        tr[u].s = a[l] % p;
+        return;
+    }
+    int mid = l + r >> 1;
+    build(u << 1, l, mid);
+    build(u << 1 | 1, mid + 1, r);
+    pushup(u);
+}
+
+void modify(int u, int l, int r, long long x, long long d) {
+    if (tr[u].l >= l && tr[u].r <= r) {
+        tr[u].s = ((tr[u].s * x) + (tr[u].r - tr[u].l + 1) * d) % p;
+        tr[u].x = tr[u].x * x % p;
+        tr[u].d = (tr[u].d * x + d) % p;
+        return;
+    }
+    int mid = tr[u].l + tr[u].r >> 1;
+    pushdown(u);
+    if (l <= mid) modify(u << 1, l, r, x, d);
+    if (r > mid) modify(u << 1 | 1, l, r, x, d);
+    pushup(u);
+}
+
+long long query(int u, int l, int r) {
+    if (tr[u].l >= l && tr[u].r <= r) {
+        return tr[u].s;
+    }
+    int mid = tr[u].l + tr[u].r >> 1;
+    long long s = 0;
+    pushdown(u);
+    if (l <= mid) s = query(u << 1, l, r);
+    if (r > mid) s = (s + query(u << 1 | 1, l, r)) % p;
+    return s;
+}
+
+signed main() {
+    cin >> n >> p;
+    for (int i = 1; i <= n; i++) {
+        cin >> a[i];
+    }
+    build(1, 1, n);
+    cin >> m;
+    while (m--) {
+        cin >> op >> x >> y;
+        if (op == 1) {
+            cin >> k;
+            modify(1, x, y, k, 0);
+        } else if (op == 2) {
+            cin >> k;
+            modify(1, x, y, 1, k);
+        } else if (op == 3) {
+            cout << query(1, x, y) % p << endl;
+        }
+    }
+    return 0;
+}