HDU4825 Xor Sum

题意:

询问\(m\)次,每次给出一个正整数\(k\),求数组中和他异或的最大值。

思路:

01字典树裸题,……但是我不会,特意学习一下。顺便回忆一下字典树
首先把数组中的每一个数,二进制存到字典树中,从高位开始,然后每次询问从上往下跑,尽量0走1,1走0。

注意数组的大小,-_-!!!!

#include<bits/stdc++.h>
using namespace std;
const int N = 100010;
const int inf = 0X3f3f3f3f;
const long long INF = 0x3f3f3f3f3f3f3f3f;
const double eps = 1e-6;
const double pi = acos(-1.0);
const int mod = 1000000007;
typedef long long ll;

int n, m;
int a[N], val[32 * N];
int tri[32 * N][2];
int cnt;

void Insert(int x, int id) {
    int u = 0;
    for (int i = 31; i >= 0; i--) {
        int bit = (x & (1 << i)) != 0; //int bit = (x & (1 << i)); 不太行
        if (!tri[u][bit])
            tri[u][bit] = cnt++;
        u = tri[u][bit];
//        cout << bit;
    }
//    cout << '\n';
    val[u] = id;
}

int Query(int x) {
    int u = 0;
    for (int i = 31; i >= 0; i--) {
        int bit = (x & (1 << i)) != 0;
        if (tri[u][bit ^ 1])
            u = tri[u][bit ^ 1];
        else
            u = tri[u][bit];
    }
    return a[val[u]];
}

int main() {
    int T;
    scanf("%d", &T);
    for (int k = 1; k <= T; k++) {
        scanf("%d %d", &n, &m);
        cnt = 1;
        memset(tri, 0, sizeof(tri));
        memset(val, 0, sizeof(val));
        for (int i = 1; i <= n; i++) {
            scanf("%d", &a[i]);
            Insert(a[i], i);
        }
        printf("Case #%d:\n", k);
        for (int i = 1; i <= m; i++) {
            int x;
            scanf("%d", &x);
            printf("%d\n", Query(x));
        }
    }
}

posted @ 2020-01-21 12:26  Frontierone  阅读(99)  评论(0编辑  收藏  举报