Submission #1066614

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1066614	2024-08-20T03:21:55 Z	Math4Life2020	Fireworks (APIO16_fireworks)	C++17	100 / 100	319 ms	59844 KB

fireworks

#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

#	Verdict	Execution time	Memory	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

#	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	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

#	Verdict	Execution time	Memory	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

#	Verdict	Execution time	Memory	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

Submission #1066614

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