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Submission #299496

# Submission time Handle Problem Language Result Execution time Memory
299496 2020-09-15T04:29:26 Z E869120 Mixture (BOI20_mixture) C++14
30 / 100
 1120 ms 49144 KB 
#include <bits/stdc++.h>
using namespace std;

struct Point {
	long long px, py, pz;
};

bool operator==(const Point &a1, const Point &a2) {
	if (a1.px != a2.px) return false;
	if (a1.py != a2.py) return false;
	if (a1.pz != a2.pz) return false;
	return true;
}

Point operator+(const Point &a1, const Point &a2) {
	return Point{a1.px + a2.px, a1.py + a2.py, a1.pz + a2.pz};
}

// Input
Point G;
Point GG = {10011LL, 86912LL, 123456LL};
long long Q;
char C[1 << 18];
long long D1[1 << 18], D2[1 << 18], D3[1 << 18];
long long DD[1 << 18];

// Points
long long N;
Point H[1 << 18];

// Tansaku
bool used[509];
bool dokuritsu[509][509];
bool r1[509];
bool r2[509][509];
bool r3[509][509][509];

long long gcd(long long a, long long b) {
	if (b == 0) return a;
	return gcd(b, a % b);
}

int calc(Point v1, Point v2) {
	long long f1 = gcd(v1.px, gcd(v1.py, v1.pz));
	long long f2 = gcd(v2.px, gcd(v2.py, v2.pz));
	Point w1 = Point{v1.px / f1, v1.py / f1, v1.pz / f1};
	Point w2 = Point{v2.px / f2, v2.py / f2, v2.pz / f2};
	if (w1 == w2) return 1;
	return 0;
}

int hantei(Point v1, Point v2, Point v3) {
	long long u1 = v1.px * v2.py * v3.pz;
	long long u2 = v1.py * v2.pz * v3.px;
	long long u3 = v1.pz * v2.px * v3.py;
	long long u4 = v1.px * v2.pz * v3.py;
	long long u5 = v1.py * v2.px * v3.pz;
	long long u6 = v1.pz * v2.py * v3.px;
	long long uu = u1 + u2 + u3 - u4 - u5 - u6;
	if (uu > 0) return 1;
	if (uu == 0) return 0;
	return -1;
}

bool solve1() {
	vector<int> vec;
	for (int i = 1; i <= N; i++) { if (used[i] == true) vec.push_back(i); }
	for (int i = 0; i < (int)vec.size(); i++) {
		if (r1[vec[i]] == true) return true;
	}
	return false;
}

bool solve2() {
	vector<int> vec;
	for (int i = 1; i <= N; i++) { if (used[i] == true) vec.push_back(i); }
	for (int i = 0; i < (int)vec.size(); i++) {
		for (int j = i + 1; j < (int)vec.size(); j++) {
			if (r2[vec[i]][vec[j]] == true) { return true; }
		}
	}
	return false;
}

bool solve3() {
	vector<int> vec;
	for (int i = 1; i <= N; i++) { if (used[i] == true) vec.push_back(i); }
	for (int i = 0; i < (int)vec.size(); i++) {
		for (int j = i + 1; j < (int)vec.size(); j++) {
			for (int k = j + 1; k < (int)vec.size(); k++) {
				if (r3[vec[i]][vec[j]][vec[k]] == true) return true;
			}
		}
	}
	return false;
}

int main() {
	// Step #1. Input
	cin >> G.px >> G.py >> G.pz;
	cin >> Q;
	assert(G.px + G.py + G.pz <= 1000);
	for (int i = 1; i <= Q; i++) {
		cin >> C[i];
		if (C[i] == 'A') {
			cin >> D1[i] >> D2[i] >> D3[i];
			N += 1;
			DD[i] = N;
			H[N] = Point{D1[i], D2[i], D3[i]};
		}
		if (C[i] == 'R') {
			cin >> D1[i];
		}
	}
	
	// Step #2. Tansaku
	for (int i = 1; i <= N; i++) {
		if (calc(H[i], G) == 1) r1[i] = true;
		for (int j = 1; j <= N; j++) {
			if (calc(H[i], H[j]) == 0) dokuritsu[i][j] = true;
		}
	}
	for (int i = 1; i <= N; i++) {
		for (int j = i + 1; j <= N; j++) {
			if (dokuritsu[i][j] == false) continue;
			if (hantei(H[i], H[j], G) == 0) {
				int v1 = hantei(H[i] + GG, G + GG, GG);
				int v2 = hantei(H[j] + GG, G + GG, GG);
				if (v1 != v2) r2[i][j] = true;
				//cout << "#" << i << " " << j << " " << v1 << " " << v2 << endl;
			}
			for (int k = j + 1; k <= N; k++) {
				if (dokuritsu[j][k] == false) continue;
				if (dokuritsu[k][i] == false) continue;
				int cnt1 = 0, cnt2 = 0, cnt3 = 0;
				int u1 = hantei(H[i], H[j], G); if (u1 == 1) cnt1 += 1; if (u1 == -1) cnt2 += 1; if (u1 == 0) cnt3 += 1;
				int u2 = hantei(H[j], H[k], G); if (u2 == 1) cnt1 += 1; if (u2 == -1) cnt2 += 1; if (u2 == 0) cnt3 += 1;
				int u3 = hantei(H[k], H[i], G); if (u3 == 1) cnt1 += 1; if (u3 == -1) cnt2 += 1; if (u3 == 0) cnt3 += 1;
				if ((cnt1 == 0 || cnt2 == 0) && cnt3 == 0) r3[i][j][k] = true;
			}
		}
	}
	
	// Step #3. Answer Query
	for (int i = 1; i <= Q; i++) {
		if (C[i] == 'A') used[DD[i]] = true;
		if (C[i] == 'R') used[D1[i]] = false;
		bool f1 = solve1();
		bool f2 = solve2();
		bool f3 = solve3();
		if (f1 == true) cout << "1" << endl;
		else if (f2 == true) cout << "2" << endl;
		else if (f3 == true) cout << "3" << endl;
		else cout << "0" << endl;
	}
	return 0;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 512 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 640 KB Output is correct
7 Correct 2 ms 512 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Correct 1 ms 512 KB Output is correct
14 Correct 1 ms 512 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 512 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 768 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 512 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 640 KB Output is correct
7 Correct 2 ms 512 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Correct 1 ms 512 KB Output is correct
14 Correct 1 ms 512 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 512 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 768 KB Output is correct
20 Correct 2 ms 512 KB Output is correct
21 Correct 2 ms 512 KB Output is correct
22 Correct 298 ms 888 KB Output is correct
23 Correct 314 ms 41976 KB Output is correct
24 Correct 833 ms 760 KB Output is correct
25 Correct 211 ms 39544 KB Output is correct
26 Correct 219 ms 41848 KB Output is correct
27 Correct 167 ms 13048 KB Output is correct
28 Correct 1120 ms 1272 KB Output is correct
29 Correct 64 ms 18528 KB Output is correct
30 Correct 142 ms 760 KB Output is correct
31 Correct 9 ms 640 KB Output is correct
32 Correct 292 ms 49144 KB Output is correct
33 Correct 9 ms 768 KB Output is correct
34 Correct 495 ms 11640 KB Output is correct
35 Correct 80 ms 760 KB Output is correct
36 Correct 76 ms 19832 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 512 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 640 KB Output is correct
7 Correct 2 ms 512 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Correct 1 ms 512 KB Output is correct
14 Correct 1 ms 512 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 512 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 768 KB Output is correct
20 Correct 2 ms 512 KB Output is correct
21 Correct 2 ms 512 KB Output is correct
22 Correct 298 ms 888 KB Output is correct
23 Correct 314 ms 41976 KB Output is correct
24 Correct 833 ms 760 KB Output is correct
25 Correct 211 ms 39544 KB Output is correct
26 Correct 219 ms 41848 KB Output is correct
27 Correct 167 ms 13048 KB Output is correct
28 Correct 1120 ms 1272 KB Output is correct
29 Correct 64 ms 18528 KB Output is correct
30 Correct 142 ms 760 KB Output is correct
31 Correct 9 ms 640 KB Output is correct
32 Correct 292 ms 49144 KB Output is correct
33 Correct 9 ms 768 KB Output is correct
34 Correct 495 ms 11640 KB Output is correct
35 Correct 80 ms 760 KB Output is correct
36 Correct 76 ms 19832 KB Output is correct
37 Correct 186 ms 26232 KB Output is correct
38 Runtime error 8 ms 512 KB Execution killed with signal 11
39 Halted 0 ms 0 KB -

Subtask #4
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 512 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 640 KB Output is correct
7 Correct 2 ms 512 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Correct 1 ms 512 KB Output is correct
14 Correct 1 ms 512 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 512 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 768 KB Output is correct
20 Correct 2 ms 512 KB Output is correct
21 Correct 2 ms 512 KB Output is correct
22 Correct 298 ms 888 KB Output is correct
23 Correct 314 ms 41976 KB Output is correct
24 Correct 833 ms 760 KB Output is correct
25 Correct 211 ms 39544 KB Output is correct
26 Correct 219 ms 41848 KB Output is correct
27 Correct 167 ms 13048 KB Output is correct
28 Correct 1120 ms 1272 KB Output is correct
29 Correct 64 ms 18528 KB Output is correct
30 Correct 142 ms 760 KB Output is correct
31 Correct 9 ms 640 KB Output is correct
32 Correct 292 ms 49144 KB Output is correct
33 Correct 9 ms 768 KB Output is correct
34 Correct 495 ms 11640 KB Output is correct
35 Correct 80 ms 760 KB Output is correct
36 Correct 76 ms 19832 KB Output is correct
37 Correct 186 ms 26232 KB Output is correct
38 Runtime error 8 ms 512 KB Execution killed with signal 11
39 Halted 0 ms 0 KB -