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답안 #1066619

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1066619 2024-08-20T03:24:40 Z Math4Life2020 Fireworks (APIO16_fireworks) C++17
100 / 100
 292 ms 100380 KB 
#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;
		flip.merge(x0.flip);
	}
	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[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 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 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 0 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 344 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 412 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 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 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct

Subtask #3
29.0 / 29.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 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 0 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 344 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 412 KB Output is correct
15 Correct 0 ms 344 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 0 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 1 ms 348 KB Output is correct
25 Correct 0 ms 344 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 1 ms 860 KB Output is correct
35 Correct 2 ms 860 KB Output is correct
36 Correct 2 ms 1116 KB Output is correct
37 Correct 2 ms 1116 KB Output is correct
38 Correct 2 ms 1116 KB Output is correct
39 Correct 2 ms 1116 KB Output is correct
40 Correct 1 ms 604 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 2 ms 860 KB Output is correct
43 Correct 2 ms 1116 KB Output is correct
44 Correct 2 ms 1116 KB Output is correct
45 Correct 2 ms 1116 KB Output is correct
46 Correct 3 ms 1880 KB Output is correct
47 Correct 3 ms 2136 KB Output is correct
48 Correct 3 ms 1628 KB Output is correct
49 Correct 3 ms 1628 KB Output is correct
50 Correct 2 ms 1372 KB Output is correct
51 Correct 2 ms 1372 KB Output is correct
52 Correct 2 ms 1628 KB Output is correct
53 Correct 3 ms 1628 KB Output is correct
54 Correct 3 ms 1884 KB Output is correct

Subtask #4
45.0 / 45.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 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 0 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 344 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 412 KB Output is correct
15 Correct 0 ms 344 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 0 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 1 ms 348 KB Output is correct
25 Correct 0 ms 344 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 1 ms 860 KB Output is correct
35 Correct 2 ms 860 KB Output is correct
36 Correct 2 ms 1116 KB Output is correct
37 Correct 2 ms 1116 KB Output is correct
38 Correct 2 ms 1116 KB Output is correct
39 Correct 2 ms 1116 KB Output is correct
40 Correct 1 ms 604 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 2 ms 860 KB Output is correct
43 Correct 2 ms 1116 KB Output is correct
44 Correct 2 ms 1116 KB Output is correct
45 Correct 2 ms 1116 KB Output is correct
46 Correct 3 ms 1880 KB Output is correct
47 Correct 3 ms 2136 KB Output is correct
48 Correct 3 ms 1628 KB Output is correct
49 Correct 3 ms 1628 KB Output is correct
50 Correct 2 ms 1372 KB Output is correct
51 Correct 2 ms 1372 KB Output is correct
52 Correct 2 ms 1628 KB Output is correct
53 Correct 3 ms 1628 KB Output is correct
54 Correct 3 ms 1884 KB Output is correct
55 Correct 6 ms 2652 KB Output is correct
56 Correct 24 ms 9308 KB Output is correct
57 Correct 46 ms 15696 KB Output is correct
58 Correct 57 ms 20300 KB Output is correct
59 Correct 84 ms 26860 KB Output is correct
60 Correct 99 ms 33740 KB Output is correct
61 Correct 141 ms 38224 KB Output is correct
62 Correct 140 ms 42836 KB Output is correct
63 Correct 161 ms 52028 KB Output is correct
64 Correct 167 ms 53212 KB Output is correct
65 Correct 69 ms 23920 KB Output is correct
66 Correct 67 ms 23844 KB Output is correct
67 Correct 65 ms 23972 KB Output is correct
68 Correct 126 ms 47396 KB Output is correct
69 Correct 154 ms 48468 KB Output is correct
70 Correct 156 ms 48468 KB Output is correct
71 Correct 275 ms 100008 KB Output is correct
72 Correct 292 ms 100380 KB Output is correct
73 Correct 246 ms 87632 KB Output is correct
74 Correct 237 ms 87892 KB Output is correct
75 Correct 242 ms 86868 KB Output is correct
76 Correct 242 ms 87124 KB Output is correct
77 Correct 249 ms 83916 KB Output is correct
78 Correct 263 ms 81640 KB Output is correct
79 Correct 257 ms 87232 KB Output is correct