P4140 奇数国

https://www.luogu.com.cn/record/89121079

Luogu/P4140/P4140.cpp

@@ -0,0 +1,89 @@
+#include <iostream>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 1e5 + 5;
+const int mod = 19961993;
+const int primes[]{0, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281};
+
+int n, a[N], c[61][N], p[61][N];
+
+int lowbit(int x) {
+    return x & -x;
+}
+
+void add(int* c, int x, int y) {
+    for (; x <= 100000; x += lowbit(x)) c[x] += y;
+}
+
+int sum(int* c, int x) {
+    int res = 0;
+    for (; x; x -= lowbit(x)) res += c[x];
+    return res;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    cin >> n;
+
+    for (int i = 1; i <= 100000; i++) {
+        a[i] = 3;
+        add(c[2], i, 1);
+    }
+
+    for (int i = 1; i <= 60; i++) {
+        p[i][0] = 1;
+
+        for (int j = 1; j <= 100000; j++) {
+            p[i][j] = static_cast<long long>(p[i][j - 1]) * (j > 1 ? primes[i] : (primes[i] - 1)) % mod;
+        }
+    }
+
+    for (int i = 1, op, x, y; i <= n; i++) {
+        cin >> op >> x >> y;
+
+        if (op == 0) {
+            int ans = 1;
+
+            for (int j = 1; j <= 60; j++) {
+                ans = static_cast<long long>(ans) * p[j][sum(c[j], y) - sum(c[j], x - 1)] % mod;
+            }
+
+            cout << ans << endl;
+        } else {  // op == 1
+            for (int i = 1; i <= 60; i++) {
+                if (a[x] % primes[i] == 0) {
+                    int cnt = 0, t = a[x];
+
+                    while (t % primes[i] == 0) {
+                        t /= primes[i];
+                        cnt++;
+                    }
+
+                    add(c[i], x, -cnt);
+                }
+            }
+
+            a[x] = y;
+
+            for (int i = 1; i <= 60; i++) {
+                if (a[x] % primes[i] == 0) {
+                    int cnt = 0, t = a[x];
+
+                    while (t % primes[i] == 0) {
+                        t /= primes[i];
+                        cnt++;
+                    }
+
+                    add(c[i], x, cnt);
+                }
+            }
+        }
+    }
+
+    return 0;
+}