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답안 #1066614

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1066614 2024-08-20T03:21:55 Z Math4Life2020 Fireworks (APIO16_fireworks) C++17
100 / 100
 319 ms 59844 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
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);
		}
	}
	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 1 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 1 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 1 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 1 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 1 ms 348 KB Output is correct
10 Correct 1 ms 600 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 344 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 0 ms 348 KB Output is correct

Subtask #3
29.0 / 29.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 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 1 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 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 0 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 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 348 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 344 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 0 ms 348 KB Output is correct
30 Correct 1 ms 600 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 3 ms 860 KB Output is correct
36 Correct 2 ms 860 KB Output is correct
37 Correct 3 ms 1032 KB Output is correct
38 Correct 3 ms 856 KB Output is correct
39 Correct 3 ms 860 KB Output is correct
40 Correct 2 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 4 ms 1116 KB Output is correct
45 Correct 2 ms 928 KB Output is correct
46 Correct 3 ms 1368 KB Output is correct
47 Correct 3 ms 1372 KB Output is correct
48 Correct 3 ms 1116 KB Output is correct
49 Correct 5 ms 1372 KB Output is correct
50 Correct 2 ms 1368 KB Output is correct
51 Correct 2 ms 1116 KB Output is correct
52 Correct 3 ms 1112 KB Output is correct
53 Correct 3 ms 1368 KB Output is correct
54 Correct 3 ms 1368 KB Output is correct

Subtask #4
45.0 / 45.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 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 1 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 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 0 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 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 348 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 344 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 0 ms 348 KB Output is correct
30 Correct 1 ms 600 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 3 ms 860 KB Output is correct
36 Correct 2 ms 860 KB Output is correct
37 Correct 3 ms 1032 KB Output is correct
38 Correct 3 ms 856 KB Output is correct
39 Correct 3 ms 860 KB Output is correct
40 Correct 2 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 4 ms 1116 KB Output is correct
45 Correct 2 ms 928 KB Output is correct
46 Correct 3 ms 1368 KB Output is correct
47 Correct 3 ms 1372 KB Output is correct
48 Correct 3 ms 1116 KB Output is correct
49 Correct 5 ms 1372 KB Output is correct
50 Correct 2 ms 1368 KB Output is correct
51 Correct 2 ms 1116 KB Output is correct
52 Correct 3 ms 1112 KB Output is correct
53 Correct 3 ms 1368 KB Output is correct
54 Correct 3 ms 1368 KB Output is correct
55 Correct 6 ms 1884 KB Output is correct
56 Correct 30 ms 6352 KB Output is correct
57 Correct 47 ms 10332 KB Output is correct
58 Correct 61 ms 13100 KB Output is correct
59 Correct 89 ms 17608 KB Output is correct
60 Correct 112 ms 21588 KB Output is correct
61 Correct 132 ms 24676 KB Output is correct
62 Correct 139 ms 27220 KB Output is correct
63 Correct 182 ms 32340 KB Output is correct
64 Correct 178 ms 34128 KB Output is correct
65 Correct 62 ms 23744 KB Output is correct
66 Correct 64 ms 23916 KB Output is correct
67 Correct 66 ms 24004 KB Output is correct
68 Correct 127 ms 40272 KB Output is correct
69 Correct 160 ms 41300 KB Output is correct
70 Correct 171 ms 41360 KB Output is correct
71 Correct 294 ms 59844 KB Output is correct
72 Correct 319 ms 59732 KB Output is correct
73 Correct 270 ms 59732 KB Output is correct
74 Correct 305 ms 59732 KB Output is correct
75 Correct 289 ms 59124 KB Output is correct
76 Correct 278 ms 59160 KB Output is correct
77 Correct 274 ms 57740 KB Output is correct
78 Correct 296 ms 57684 KB Output is correct
79 Correct 294 ms 59240 KB Output is correct