Submission #1216454

#	Time	Username	Problem	Language	Result	Execution time	Memory
1216454		PenguinsAreCute	Bodyguard (JOI21_bodyguard)	C++17	42 / 100	25046 ms	740604 KiB

bodyguard

#include <bits/stdc++.h>
using namespace std;
int main() {
	int n, q;
	cin >> n >> q;
	vector<long long> x1(n), y1(n), x2(n), y2(n), x, y;
	vector<int> c(n);
	for(int i=0;i<n;i++) {
		int t, a, b;
		cin >> t >> a >> b >> c[i];
		long long st = t, sx = a;
		long long et = t + abs(b - a), ex = b;
		x1[i] = st + sx;
		y1[i] = st - sx;
		x2[i] = et + ex;
		y2[i] = et - ex;
		x.push_back(x1[i]);
		x.push_back(x2[i]);
		y.push_back(y1[i]);
		y.push_back(y2[i]);
		c[i] /= 2;
	}
	sort(x.begin(),x.end());
	sort(y.begin(),y.end());
	long long dp[2*n][2*n], xdelta[2*n-1][2*n], ydelta[2*n][2*n-1];
	memset(xdelta,0,sizeof(xdelta));
	memset(ydelta,0,sizeof(ydelta));
	memset(dp,0,sizeof(dp));
	for(int i=0;i<n;i++) {
		x1[i] = lower_bound(x.begin(),x.end(),x1[i]) - x.begin();
		y1[i] = lower_bound(y.begin(),y.end(),y1[i]) - y.begin();
		x2[i] = lower_bound(x.begin(),x.end(),x2[i]) - x.begin();
		y2[i] = lower_bound(y.begin(),y.end(),y2[i]) - y.begin();
		assert(x1[i] == x2[i] || y1[i] == y2[i]);
		if(x1[i] == x2[i])
			for(int j=y1[i];j<y2[i];j++)
				ydelta[x1[i]][j] += c[i] * (y[j+1] - y[j]);
		else
			for(int j=x1[i];j<x2[i];j++)
				xdelta[j][y1[i]] += c[i] * (x[j+1] - x[j]);
	}
	for(int i=2*n;i--;)
		for(int j=2*n;j--;) {
			if(i<2*n-1)
				dp[i][j] = max(dp[i][j],dp[i+1][j]+xdelta[i][j]);
			if(j<2*n-1)
				dp[i][j] = max(dp[i][j],dp[i][j+1]+ydelta[i][j]);
		}
	while(q--) {
		int t, p;
		cin >> t >> p;
		int cx = t + p, cy = t - p;
		int gx = lower_bound(x.begin(),x.end(),cx) - x.begin();
		int gy = lower_bound(y.begin(),y.end(),cy) - y.begin();
		if(gx >= 2 * n || gy >= 2 * n)
			cout << "0\n";
		else {
			long long ans = dp[gx][gy];
			if(gx)
				for(int i=gy;i<2*n;i++)
					ans = max(ans,xdelta[gx-1][i] / (x[gx]-x[gx-1]) * (x[gx] - cx) + dp[gx][i]);
			if(gy)
				for(int i=gx;i<2*n;i++)
					ans = max(ans,ydelta[i][gy-1] / (y[gy]-y[gy-1]) * (y[gy] - cy) + dp[i][gy]);
			cout << ans << "\n";
		}
	}
}

• Subtask 1: 0 / 6
• Subtask 2: 7 / 7
• Subtask 3: 15 / 15
• Subtask 4: 20 / 20
• Subtask 5: 0 / 52