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답안 #1066608

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1066608 2024-08-20T03:16:13 Z Math4Life2020 Fireworks (APIO16_fireworks) C++17
100 / 100
 287 ms 64104 KB 
// Source: https://usaco.guide/general/io

#include <bits/stdc++.h>
using namespace std;
using ll = long long; using pii = pair<ll,ll>;

struct plf { //piecewise linear function
	ll m; //slope at 0
	ll b; //value at 0
	ll sz; //size
	multiset<ll> flip; //add a ReLU, vertext at that poitn
	void fuse(plf x0) {
		sz += x0.sz;
		m += x0.m;
		b += x0.b;
		for (ll x: x0.flip) {
			flip.insert(x);
		}
		//flip.erase(--flip.end());
	}
	void backerase(ll n) {
		for (ll i=0;i<n;i++) {
			flip.erase(--flip.end());
		}
	}
	void wipe() {
		flip.clear();
	}
	ll gmin() {
		ll mv = m; ll bv = b;
		ll ans = b;
		for (ll x: flip) {
			mv += 1; bv -= x;
			ans = min(ans,mv*x+bv);
		}
		return ans;
	}
	void ext(ll L) { //add segment of length L up front
		sz++; b += L;
		auto A = --flip.end(); auto B = A; B--;
		ll x,y; x = *A; y = *B;
		flip.erase(A); flip.erase(B);
		flip.insert(x+L); flip.insert(y+L);
	}
};

plf junct(ll L) {
	plf x0;
	x0.m=-1;
	x0.b=L;
	x0.sz=1;
	x0.flip.insert(L); x0.flip.insert(L);
	return x0;
}

int main() {
	ios_base::sync_with_stdio(false); cin.tie(0);
	ll N,M; cin >> N >> M;
	ll radj[N+M]; ll c[N+M];
	vector<ll> fadj[N];
	plf x0[M]; //element i corresponds to vertex N+i
	radj[0]=-1; c[0]=0;
	ll madd[M+N];
	for (ll i=1;i<(N+M);i++) {
		cin >> radj[i]; radj[i]--;
		fadj[radj[i]].push_back(i);
		cin >> c[i];
	}
	for (ll i=0;i<M;i++) {
		x0[i]=junct(c[i+N]);
		madd[N+i]=i;
	}
	for (ll i=(N-1);i>=0;i--) {
		ll maxv = -1; ll xc = -1;
		for (ll x: fadj[i]) {
			if (x0[madd[x]].sz>maxv) {
				maxv = x0[madd[x]].sz;
				xc = x;
			}
		}
		madd[i]=madd[xc];
		for (ll x: fadj[i]) {
			if (x != xc) {
				x0[madd[i]].fuse(x0[madd[x]]);
				x0[madd[x]].wipe();
			}
		}
		x0[madd[i]].backerase(fadj[i].size()-1);
		if (i != 0) {
			x0[madd[i]].ext(c[i]);
		} else {
			cout << x0[madd[i]].gmin();
		}
	}
}

Subtask #1
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct

Subtask #2
19.0 / 19.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 456 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct

Subtask #3
29.0 / 29.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 456 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 2 ms 604 KB Output is correct
35 Correct 2 ms 860 KB Output is correct
36 Correct 2 ms 804 KB Output is correct
37 Correct 3 ms 860 KB Output is correct
38 Correct 2 ms 1116 KB Output is correct
39 Correct 2 ms 1124 KB Output is correct
40 Correct 1 ms 900 KB Output is correct
41 Correct 1 ms 856 KB Output is correct
42 Correct 2 ms 856 KB Output is correct
43 Correct 2 ms 1168 KB Output is correct
44 Correct 3 ms 1112 KB Output is correct
45 Correct 2 ms 1116 KB Output is correct
46 Correct 3 ms 1488 KB Output is correct
47 Correct 4 ms 1512 KB Output is correct
48 Correct 2 ms 1228 KB Output is correct
49 Correct 3 ms 1372 KB Output is correct
50 Correct 2 ms 1116 KB Output is correct
51 Correct 2 ms 1328 KB Output is correct
52 Correct 3 ms 1372 KB Output is correct
53 Correct 3 ms 1372 KB Output is correct
54 Correct 3 ms 1372 KB Output is correct

Subtask #4
45.0 / 45.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 456 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 2 ms 604 KB Output is correct
35 Correct 2 ms 860 KB Output is correct
36 Correct 2 ms 804 KB Output is correct
37 Correct 3 ms 860 KB Output is correct
38 Correct 2 ms 1116 KB Output is correct
39 Correct 2 ms 1124 KB Output is correct
40 Correct 1 ms 900 KB Output is correct
41 Correct 1 ms 856 KB Output is correct
42 Correct 2 ms 856 KB Output is correct
43 Correct 2 ms 1168 KB Output is correct
44 Correct 3 ms 1112 KB Output is correct
45 Correct 2 ms 1116 KB Output is correct
46 Correct 3 ms 1488 KB Output is correct
47 Correct 4 ms 1512 KB Output is correct
48 Correct 2 ms 1228 KB Output is correct
49 Correct 3 ms 1372 KB Output is correct
50 Correct 2 ms 1116 KB Output is correct
51 Correct 2 ms 1328 KB Output is correct
52 Correct 3 ms 1372 KB Output is correct
53 Correct 3 ms 1372 KB Output is correct
54 Correct 3 ms 1372 KB Output is correct
55 Correct 7 ms 2196 KB Output is correct
56 Correct 26 ms 7004 KB Output is correct
57 Correct 48 ms 11604 KB Output is correct
58 Correct 67 ms 14936 KB Output is correct
59 Correct 94 ms 19792 KB Output is correct
60 Correct 104 ms 24404 KB Output is correct
61 Correct 130 ms 27704 KB Output is correct
62 Correct 136 ms 30608 KB Output is correct
63 Correct 187 ms 36436 KB Output is correct
64 Correct 187 ms 38472 KB Output is correct
65 Correct 69 ms 28752 KB Output is correct
66 Correct 71 ms 28692 KB Output is correct
67 Correct 80 ms 28844 KB Output is correct
68 Correct 128 ms 45028 KB Output is correct
69 Correct 160 ms 45936 KB Output is correct
70 Correct 154 ms 45860 KB Output is correct
71 Correct 287 ms 63892 KB Output is correct
72 Correct 268 ms 64104 KB Output is correct
73 Correct 238 ms 63828 KB Output is correct
74 Correct 255 ms 63824 KB Output is correct
75 Correct 220 ms 62804 KB Output is correct
76 Correct 227 ms 63164 KB Output is correct
77 Correct 236 ms 61652 KB Output is correct
78 Correct 246 ms 61764 KB Output is correct
79 Correct 219 ms 63188 KB Output is correct