QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#446208#8525. Mercenariesucup-team3924WA 535ms69436kbC++205.3kb2024-06-17 01:32:352024-06-17 01:32:35

Judging History

你现在查看的是最新测评结果

  • [2024-06-17 01:32:35]
  • 评测
  • 测评结果:WA
  • 用时:535ms
  • 内存:69436kb
  • [2024-06-17 01:32:35]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;


struct pt{
    long long x, y;
    bool operator<(const pt & p) const {
		return tie(x, y) < tie(p.x, p.y);
	}
	bool operator==(const pt & p) const {
		return tie(x,y) == tie(p.x, p.y);
	}
    pt operator + (const pt & p) const {
        return pt{x + p.x, y + p.y};
    }
    pt operator - (const pt & p) const {
        return pt{x - p.x, y - p.y};
    }
    long long cross(const pt & p) const {
        return x * p.y - y * p.x;
    }
    long long cross(const pt & a, const pt & b) const{
		return (a-*this).cross(b-*this);
	}
};

long long det(const pt &a, const pt &b, const pt &c){
	return a.cross(b, c);
}

int sgn(long long d){
	return (d > 0) - (d < 0);
}


struct Line {
	int a, b; long long c;
};

bool half(Line m){return m.a < 0 || (m.a == 0 && m.b < 0);};

bool operator<(Line m, Line n){
	return make_pair(half(m), (long long)m.b * n.a) <
		   make_pair(half(n), (long long)m.a * n.b);
}



Line LineFromPoints(int x1, int y1, int x2, int y2) {
	int a = y1 - y2, b = x2 - x1;
	long long c = (long long)a * x1 + (long long)b * y1;
	return {a, b, c}; // halfplane points to the l e f t of vec .
}

vector<pt>minkowski(const vector<pt> &P, const vector<pt> &Q){
	int n = P.size(), m = Q.size();
	vector<pt>res = {P[0] + Q[0]};
	for(int i = 1, j = 1; i < n || j < m; ){
		if(i < n && (j == m ||
			(P[i] - P[i-1]).cross(Q[j] - Q[j-1]) < 0)){
			res.push_back(res.back() + P[i] - P[i-1]);
			++i;
		} else {
			res.push_back(res.back() + Q[j] - Q[j-1]);
			++j;
		}
	}
	return res;
}

vector<pt> merge(const vector<pt> &a, const vector<pt> &b){
	vector<pt> res;
	int n = a.size(), m = b.size();
	int j = 0;
	for(int i = 0; i < n; i++){
		while(j < m && b[j] < a[i])res.push_back(b[j++]);
		if(j < m && b[j] == a[i])continue;
		res.push_back(a[i]);
	}
	while(j < m)res.push_back(b[j++]);
	return res;
}

vector<pt>convexHull(vector<pt> P, bool sorted=false){
	if(!sorted){
		sort(P.begin(), P.end());
		P.erase(unique(P.begin(), P.end()), P.end());
	}
	if(P.size() <= 1)return P;
	vector<pt>ret;
	for(auto p : P){
		while(ret.size() > 0 && p.y >= ret.back().y)ret.pop_back();
		while(ret.size() >= 2 && sgn(det(ret.end()[-2], ret.end()[-1], p)) > 0)ret.pop_back();
		ret.push_back(p);
	}
	return ret;
}
	
pt bestie(const vector<pt> &hull, Line L){
	int l = 0, r = hull.size()-1;
	while(l <= r){
		int m = (l + r)/2;
		Line M = LineFromPoints(hull[m].x, hull[m].y, hull[m+1].x, hull[m+1].y);
		if(M < L)r = m - 1;
		else l = m + 1;
	}
	return hull[(l >= (int)hull.size()? l - 1: l)];
}
	

//vector<vector<pt>> items;
//vector<vector<pt>> merc;
int n;

//void build_items(const vector<vector<pt>>&hulls, int v, int tl, int tr){
	//if(tl == tr){
		//items[v] = hulls[tl];
	//} else {
		//int tm = (tl + tr)/2;
		//build_items(hulls, v*2, tl, tm);
		//build_items(hulls, v*2 + 1, tm + 1, tr);
		//items[v] = minkowski(items[v*2], items[v*2 + 1]);
	//}
//}




bool check(const pt &p, const Line &L){
	return ((long long)p.x * L.a + (long long)p.y * L.b) >= L.c;
}

const vector<pt>org = {pt{0, 0}};

struct SegTree{
	vector<vector<pt>> items; int n;
	vector<vector<pt>> merc;
	SegTree(int n) : merc(2*n, org), items(2 * n, org), n(n){}
	

	
	void build_items(){
		for(int i = n - 1; i > 0; i--)items[i] = minkowski(items[2*i], items[2*i + 1]);
	}

	void build_merc(){
		for(int i = n - 1; i > 0; i--){
			merc[i] = convexHull(merge(minkowski(merc[2 * i], items[2 * i + 1]), merc[2* i + 1]), true);
		}
	}

	
	vector<pt> sum(int b, int e) {
		vector<pt>r1 = org, r2 = org;
		for(b += n, e += n; b < e; b /= 2, e /= 2){
			if(b%2) r1 = minkowski(r1, items[b++]);
			if(e%2) r2 = minkowski(items[--e], r2);
		}
		return minkowski(r1, r2);
	}
	
	int solve(int city, pt shift, Line L, int v, int tl, int tr, int l, int r){
		//cout << v << ' ' << l << ' ' << r << '\n';
		if(l > r)return -1;
		if(l == tl && r == tr){
			if(!check(bestie(merc[v], L) + shift, L)){
				//cout << "current shift is " << shift.x << ' ' << shift.y << '\n';
				//cout << "available mercenaries are: ";
				//for(auto p : merc[v])cout << p.x << ' ' << p.y << '\t';
				//cout << "\nno mercenary in " << l << ' ' << r << " can beat the monster\n";
				return -1;
			}
			if(tl == tr)return tl;
		}
		int tm = (tl + tr)/2;
		int right = solve(city, shift, L, v * 2 +1, tm+1, tr, max(l, tm+1), r);
		if(right != -1)return right;
		//cout << "there is no mercenary in " << max(l, tm + 1) << ' ' << r << " that can win so i need to remove items: ";
		//cout << "the interval is " << max(l, tm+1) << ' ' << r << '\n';
		//for(auto x : sum(max(l, tm+1), r+1))cout << x.x << ' ' << x.y << '\t';
		//cout << '\n';
		shift = shift + bestie(sum(max(l, tm+1), r+1), L);
		return solve(city, shift, L, v*2, tl, tm, l, min(r, tm));
	}
		
	
};

SegTree tree(0);



int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin >> n;
	int N = n;
	while(__builtin_popcount(N) != 1)N++;
	tree = SegTree(N);
	for(int i = 0; i < n; i++){
		int x, y;
		cin >> x >> y;
		tree.merc[N+i] = {pt{x, y}};
		if(i + 1 == n)break;
		int r;
		cin >> r;
		vector<pt> pts(r);
		for(auto &p : pts){
			cin >> p.x >> p.y;
		}
		tree.items[N+i+1]= convexHull(pts);
	}
	tree.build_items();
	tree.build_merc();
	int q;
	cin >> q;
	while(q--){
		int v; int a, b;
		long long c;
		cin >> v >> a >> b >> c;
		Line L{a, b, c};
		int ans = tree.solve(v, pt{0, 0}, L, 1, 0, n-1, 0, v-1);
		cout << (ans == -1? -1 : ans + 1) << '\n';
		
	}
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3572kb

input:

3
1 1
2 1 2 1 2
3 2
5 1 5 4 3 3 4 5 1 1 2
4 5
12
1 1 1 1
2 1 1 1
3 1 1 1
3 1 1 9
3 2 2 20
3 1 2 18
3 1 2 19
3 1 2 20
3 0 1 8
2 1 0 4
2 1 0 3
2 1 0 2

output:

1
2
3
3
2
2
1
-1
1
-1
2
2

result:

ok 12 numbers

Test #2:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

2
47 11
1 98 25
9 90
10
1 32 28 1811
2 17 44 4114
1 36 88 2661
2 79 33 3681
1 53 26 2778
2 59 20 2332
2 63 45 4616
2 72 11 10835
1 13 28 919
2 16 59 4445

output:

1
-1
-1
2
-1
1
2
1
1
2

result:

ok 10 numbers

Test #3:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

3
87 42
5 69 12 82 79 10 88 45 51 40 3
18 6
5 73 100 58 41 40 88 54 5 40 98
31 63
100
3 32 13 1811
1 51 21 5318
1 32 5 2994
2 77 51 19184
2 78 60 1763
1 10 1 913
1 22 51 4057
1 2 5 385
2 50 15 989
2 65 53 1488
1 49 82 7708
2 33 90 1133
1 23 33 3388
1 92 36 9516
3 39 61 10014
2 43 55 1103
2 48 38 127...

output:

3
1
1
1
2
-1
-1
-1
2
2
-1
2
-1
1
2
2
-1
3
2
2
3
1
1
1
-1
1
1
1
3
1
-1
1
-1
1
2
1
2
1
1
1
1
1
-1
1
-1
-1
1
1
-1
-1
1
1
2
1
1
-1
2
-1
1
1
1
1
3
1
2
3
2
2
1
1
-1
1
1
3
1
1
1
3
2
1
1
2
1
2
1
2
1
-1
-1
-1
1
2
1
1
-1
-1
1
3
2
2

result:

ok 100 numbers

Test #4:

score: 0
Accepted
time: 167ms
memory: 18912kb

input:

2
309248041 338995438
500000 1235 4866 1931 3652 1921 258 545 587 3001 542 3074 1694 4944 206 3217 3135 2388 4791 1890 3281 3840 4614 4491 1339 4660 1708 2225 3199 736 1306 4175 4652 906 3509 2571 1578 50 981 402 4975 2730 2198 4546 3120 40 815 2492 518 2102 2651 1018 3996 1764 808 3934 4312 1981 40...

output:

2
1
-1
2
2
2
1
1
2
-1
2
2
1
1
2
1
2
2
1
2
2
1
-1
-1
1
-1
2
-1
1
2
1
1
1
1
-1
1
-1
-1
-1
1
2
2
1
1
1
2
-1
-1
1
-1
1
2
-1
1
2
1
2
2
-1
2
1
2
2
-1
2
2
-1
2
1
2
1
-1
-1
1
1
-1
2
1
2
2
1
1
1
1
2
2
-1
-1
1
2
2
-1
2
-1
-1
-1
1
2
1
1
2
2
1
-1
-1
2
2
2
1
-1
1
2
2
-1
1
-1
-1
-1
1
2
1
2
1
-1
-1
1
2
2
-1
2
2
2
...

result:

ok 200000 numbers

Test #5:

score: -100
Wrong Answer
time: 535ms
memory: 69436kb

input:

200000
999999511 993051669
2 5000 5000 5000 5000
1000000000 1000000000
3 5000 5000 5000 5000 5000 5000
995868520 999999999
2 5000 5000 5000 5000
660478427 999992996
3 5000 5000 5000 5000 5000 5000
999999979 999999998
2 5000 5000 5000 5000
861450412 989532141
3 5000 5000 5000 5000 5000 5000
949861679...

output:

145800
152589
112658
29436
38091
122582
7727
87686
152589
97288
60184
836
39235
152589
121422
117149
152589
152589
152589
56603
69911
152589
152589
124250
103223
110099
152589
11459
37052
28918
57236
143793
19234
10313
75590
6597
18202
152589
102394
152589
5171
152589
72023
56758
88764
17257
100583
...

result:

wrong answer 2nd numbers differ - expected: '198491', found: '152589'