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  • [GXOI/GZOI2019]与或和

    /*
    显然位之间会互不影响, 然后分位来统计, 显然&只有全1才有贡献, 显然|只有全0才没贡献
    分别n^2处理即可
    
    
    */
    
    #include<cstdio>
    #include<algorithm>
    #include<cstring>
    #include<iostream>
    #include<queue>
    #define ll long long
    #define M 1010
    using namespace std;
    int read() {
    	int nm = 0, f = 1;
    	char c = getchar();
    	for(; !isdigit(c); c = getchar()) if(c == '-') f = -1;
    	for(; isdigit(c); c = getchar()) nm = nm * 10 + c - '0';
    	return nm * f;
    }
    const int mod = 1000000007;
    void add(int &a, int b) {
    	a += b;
    	a -= a >= mod ? mod : 0;
    	a += a < 0 ? mod : 0;
    }
    int mul(int a, int b) {
    	return 1ll * a * b % mod;
    }
    int a[M][M], ans, ans2, b[M][M];
    int que[M], l, r, n;
    int work() {
    #define h b
    	int tmp = 0, sum = 0;
    	for(int i = 1; i <= n; i++) {
    		sum = 0;
    		l = 1, r = 0;
    		for(int j = 1; j <= n; j++) {
    			while(l <= r && h[i][que[r]] >= h[i][j]) {
    				sum -= (que[r] - que[r - 1]) * h[i][que[r]];
    				r--;
    			}
    			que[++r] = j;
    			sum += (j - que[r - 1]) * h[i][j];
    			add(tmp, sum);
    		}
    	}
    	return tmp;
    }
    
    
    int main() {
    	n = read();
    	for(int i = 1; i <= n; i++) {
    		for(int j = 1; j <= n; j++) {
    			a[i][j] = read();
    			add(ans2, mul(i, mul(j, (1ll << 31) - 1ll)));
    		}
    	}
    	for(int k = 0; k <= 30; k++) {
    		int tmp = 0, tmd = 0;
    		for(int i = 1; i <= n; i++)
    			for(int j = 1; j <= n; j++)
    				if(a[i][j] & (1 << k)) b[i][j] = 1;
    				else b[i][j] = 0;
    		for(int i = 1; i <= n; i++) {
    			for(int j = 1; j <= n; j++) {
    				if(b[i][j] == 1) b[i][j] += b[i - 1][j];
    			}
    		}
    		add(tmp, work());
    		for(int i = 1; i <= n; i++)
    			for(int j = 1; j <= n; j++)
    				if(a[i][j] & (1 << k)) b[i][j] = 0;
    				else b[i][j] = 1;
    		for(int i = 1; i <= n; i++) {
    			for(int j = 1; j <= n; j++) {
    				if(b[i][j] == 1) b[i][j] += b[i - 1][j];
    			}
    		}
    		add(tmd, work());
    		add(ans, mul(1 << k, tmp));
    		add(ans2, -mul(1 << k, tmd));
    	}
    	cout << ans << " " << ans2 << "
    ";
    	return 0;
    }
    /*
    3
    0 0 0
    0 0 0
    0 0 0
    
    1 
    0
    
    2
    0 0 
    0 0
    */
    
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  • 原文地址:https://www.cnblogs.com/luoyibujue/p/10757412.html
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