new file: P16055.cpp

P16055.cpp

@@ -0,0 +1,54 @@
+#include <bits/stdc++.h>
+using namespace std;
+int n, m;
+vector<pair<int, double>> o;
+double st1[200005][21], st2[200005][21];
+int main() {
+    scanf("%d%d", &n, &m);
+    o.push_back({0, 0});
+    for (int i = 1; i <= n; ++i) {
+        int op;
+        double k;
+        scanf("%d%lf", &op, &k);
+        o.push_back({op, k});
+        if (op == 1) {
+            st1[i][0] = k;
+            st2[i][0] = 0;
+
+        } else {
+            st1[i][0] = cos(k);
+            st2[i][0] = sin(k);
+        }
+    }
+    for (int i = 1; i <= 20; i++) {
+        for (int j = 1; j + (1 << i) - 1 <= n; j++) {
+            double tmp11 = st1[j][i - 1], tmp12 = st2[j][i - 1];
+            double tmp21 = st1[j + (1 << (i - 1))][i - 1],
+                tmp22 = st2[j + (1 << (i - 1))][i - 1];
+            st1[j][i] = tmp11 * tmp21 - tmp12 * tmp22;
+            st2[j][i] = tmp11 * tmp22 + tmp12 * tmp21;
+        }
+    }
+    while (m--) {
+        int l, r, x, y;
+        scanf("%d%d%d%d", &l, &r, &x, &y);
+        double nx = x, ny = y;
+        r++;
+        for (int i = 20; i >= 0; i--) {
+            if (l + (1 << i) <= r) {
+                double tmpx = st1[l][i] * nx - st2[l][i] * ny,
+                       tmpy = st2[l][i] * nx + st1[l][i] * ny;
+                nx = tmpx, ny = tmpy;
+                l += 1 << i;
+            }
+        }
+        printf("%f %f\n", nx, ny);
+    }
+    return 0;
+}
+/*
+k1 -k2
+k2 k1
+
+
+*/