xor

CSES - CSES Problem Set/Range_Queries/Dynamic_Range_Sum_Queries.cpp

@@ -10,7 +10,7 @@ vector<ll> construct(vector<ll> &input) {
         output[input.size() + i] = input[i];
     }
     for (int i = input.size() - 1; i > 0; i--) {
-        output[i] = output[2*i] + output[2*i + 1];
+        output[i] = (output[2*i] ^ output[2*i + 1]);
     }
     return output;
 }
@@ -20,7 +20,7 @@ void update(int k, ll x, int n, vector<ll> &tree) {
     tree[k] = x;
     k /= 2;
     for (; k >= 1; k /= 2) {
-        tree[k] = tree[2*k + 1] + tree[2*k];
+        tree[k] = (tree[2*k + 1] ^ tree[2*k]);
     }
 }
 
@@ -30,11 +30,11 @@ ll query(int a, int b, int n, vector<ll> &tree) {
     ll s = 0;
     while (a <= b) {
         if (a % 2 == 1) {
-            s += tree[a];
+            s ^= tree[a];
             a++;
         }
         if (b % 2 == 0) {
-            s += tree[b];
+            s ^= tree[b];
             b--;
         }
         a /= 2; b /= 2;

CSES - CSES Problem Set/Range_Queries/Range_XOR_Query.cpp

@@ -0,0 +1,60 @@
+//
+// Created by darian on 17.06.24.
+//
+
+#include <bits/stdc++.h>
+
+using namespace std;
+using ll = long long;
+
+void update(int x, ll u, vector<ll> &tree, int n) {
+    x--;
+    x += n;
+    tree[x] = u;
+    x /= 2;
+    for (; x >= 1; x /= 2) {
+        tree[x] = tree[2*x] ^ tree[2*x + 1];
+    }
+}
+
+vector<ll> construct(vector<ll> &input) {
+    int n = input.size();
+    vector<ll> output(2 * n);
+    for (int i = n; i < 2 * n; i++) {
+        output[i] = input[i - n];
+    }
+    for (int i = n - 1; i >= 1; i --) {
+        output[i] = output[2 * i] ^ output[2 * i + 1];
+    }
+    return output;
+}
+
+ll query(int a, int b, vector<ll> &tree, int n) {
+    a--; b--;
+    a += n; b += n;
+    ll s = 0;
+    while (a <= b) {
+        if (a % 2 == 1) {
+            s ^= tree[a];
+            a++;
+        }
+        if (b % 2 == 0) {
+            s ^= tree[b];
+            b--;
+        }
+        a /= 2; b /= 2;
+    }
+    return s;
+}
+
+int main() {
+    int n; cin >> n;
+    int q; cin >> q;
+    vector<ll> input(n);
+    for (int i{}; i < n; i++) cin >> input[i];
+    auto seg = construct(input);
+    for (int i{}; i < q; i++) {
+        int a, b; cin >> a >> b;
+        cout << query(a, b, seg, n) << endl;
+    }
+}