P3812 【模板】线性基

https://www.luogu.com.cn/record/76955036

Luogu/P3812/P3812.cpp

@@ -0,0 +1,50 @@
+#include <iostream>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 55;
+
+int n;
+long long x, a[N], ans;
+
+void insert(long long x) {
+    for (int i = 50; ~i; i--) {
+        if (!(x & (1ll << i))) continue;
+
+        if (a[i]) {
+            x ^= a[i];
+        } else {
+            for (int k = 0; k < i; k++) {
+                if (x & (1ll << k)) x ^= a[k];
+            }
+
+            for (int k = i + 1; k <= 50; k++) {
+                if (a[k] & (1ll << i)) a[k] ^= x;
+            }
+
+            a[i] = x;
+            return;
+        }
+    }
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    cin >> n;
+
+    for (int i = 1; i <= n; i++) {
+        cin >> x;
+
+        insert(x);
+    }
+
+    for (int i = 0; i <= 50; i++) ans ^= a[i];
+
+    cout << ans << endl;
+
+    return 0;
+}