Submission #1066612

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1066612	2024-08-20T03:20:42 Z	Math4Life2020	Fireworks (APIO16_fireworks)	C++17	100 / 100	294 ms	59832 KB

fireworks

#include <bits/stdc++.h>
#pragma GCC optimize("O3,Ofast")
#pragma GCC target("avx2,sse4")
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

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	1 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	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	344 KB	Output is correct

Subtask #2
19.0 / 19.0

#	Verdict	Execution time	Memory	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	1 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	1 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	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	0 ms	348 KB	Output is correct

Subtask #3
29.0 / 29.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	1 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	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	344 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	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 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	1 ms	348 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	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	0 ms	348 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	2 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	856 KB	Output is correct
37	Correct	2 ms	772 KB	Output is correct
38	Correct	2 ms	860 KB	Output is correct
39	Correct	3 ms	936 KB	Output is correct
40	Correct	1 ms	604 KB	Output is correct
41	Correct	2 ms	604 KB	Output is correct
42	Correct	1 ms	604 KB	Output is correct
43	Correct	2 ms	860 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	1372 KB	Output is correct
47	Correct	3 ms	1372 KB	Output is correct
48	Correct	3 ms	1116 KB	Output is correct
49	Correct	3 ms	1444 KB	Output is correct
50	Correct	3 ms	1296 KB	Output is correct
51	Correct	2 ms	1112 KB	Output is correct
52	Correct	3 ms	1116 KB	Output is correct
53	Correct	3 ms	1116 KB	Output is correct
54	Correct	3 ms	1372 KB	Output is correct

Subtask #4
45.0 / 45.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	1 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	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	344 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	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 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	1 ms	348 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	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	0 ms	348 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	2 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	856 KB	Output is correct
37	Correct	2 ms	772 KB	Output is correct
38	Correct	2 ms	860 KB	Output is correct
39	Correct	3 ms	936 KB	Output is correct
40	Correct	1 ms	604 KB	Output is correct
41	Correct	2 ms	604 KB	Output is correct
42	Correct	1 ms	604 KB	Output is correct
43	Correct	2 ms	860 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	1372 KB	Output is correct
47	Correct	3 ms	1372 KB	Output is correct
48	Correct	3 ms	1116 KB	Output is correct
49	Correct	3 ms	1444 KB	Output is correct
50	Correct	3 ms	1296 KB	Output is correct
51	Correct	2 ms	1112 KB	Output is correct
52	Correct	3 ms	1116 KB	Output is correct
53	Correct	3 ms	1116 KB	Output is correct
54	Correct	3 ms	1372 KB	Output is correct
55	Correct	6 ms	1884 KB	Output is correct
56	Correct	27 ms	6352 KB	Output is correct
57	Correct	46 ms	10324 KB	Output is correct
58	Correct	65 ms	13148 KB	Output is correct
59	Correct	81 ms	17612 KB	Output is correct
60	Correct	107 ms	21596 KB	Output is correct
61	Correct	126 ms	24656 KB	Output is correct
62	Correct	151 ms	27220 KB	Output is correct
63	Correct	196 ms	32340 KB	Output is correct
64	Correct	227 ms	34336 KB	Output is correct
65	Correct	76 ms	23892 KB	Output is correct
66	Correct	72 ms	23888 KB	Output is correct
67	Correct	68 ms	23888 KB	Output is correct
68	Correct	133 ms	40332 KB	Output is correct
69	Correct	154 ms	41200 KB	Output is correct
70	Correct	169 ms	41296 KB	Output is correct
71	Correct	264 ms	59832 KB	Output is correct
72	Correct	267 ms	59732 KB	Output is correct
73	Correct	284 ms	59804 KB	Output is correct
74	Correct	294 ms	59728 KB	Output is correct
75	Correct	239 ms	59092 KB	Output is correct
76	Correct	236 ms	59116 KB	Output is correct
77	Correct	232 ms	57684 KB	Output is correct
78	Correct	240 ms	57592 KB	Output is correct
79	Correct	241 ms	59336 KB	Output is correct

Submission #1066612

Compilation message

Subtask #1 7.0 / 7.0

Subtask #2 19.0 / 19.0

Subtask #3 29.0 / 29.0

Subtask #4 45.0 / 45.0

Subtask #1
7.0 / 7.0

Subtask #2
19.0 / 19.0

Subtask #3
29.0 / 29.0

Subtask #4
45.0 / 45.0