Submission #1066618

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1066618	2024-08-20T03:23:52 Z	Math4Life2020	Fireworks (APIO16_fireworks)	C++17	100 / 100	261 ms	59828 KB

fireworks

#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[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	0 ms	348 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	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

Subtask #2
19.0 / 19.0

#	Verdict	Execution time	Memory	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	348 KB	Output is correct
5	Correct	0 ms	384 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	344 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	1 ms	404 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	0 ms	348 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	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	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	348 KB	Output is correct
15	Correct	0 ms	384 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	344 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	1 ms	404 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	0 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	1 ms	604 KB	Output is correct
35	Correct	2 ms	856 KB	Output is correct
36	Correct	2 ms	860 KB	Output is correct
37	Correct	2 ms	860 KB	Output is correct
38	Correct	2 ms	956 KB	Output is correct
39	Correct	2 ms	860 KB	Output is correct
40	Correct	1 ms	604 KB	Output is correct
41	Correct	1 ms	796 KB	Output is correct
42	Correct	2 ms	604 KB	Output is correct
43	Correct	2 ms	1116 KB	Output is correct
44	Correct	2 ms	1152 KB	Output is correct
45	Correct	2 ms	1116 KB	Output is correct
46	Correct	3 ms	1372 KB	Output is correct
47	Correct	2 ms	1372 KB	Output is correct
48	Correct	2 ms	1116 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	1112 KB	Output is correct
52	Correct	2 ms	1332 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	0 ms	348 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	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	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	348 KB	Output is correct
15	Correct	0 ms	384 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	344 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	1 ms	404 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	0 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	1 ms	604 KB	Output is correct
35	Correct	2 ms	856 KB	Output is correct
36	Correct	2 ms	860 KB	Output is correct
37	Correct	2 ms	860 KB	Output is correct
38	Correct	2 ms	956 KB	Output is correct
39	Correct	2 ms	860 KB	Output is correct
40	Correct	1 ms	604 KB	Output is correct
41	Correct	1 ms	796 KB	Output is correct
42	Correct	2 ms	604 KB	Output is correct
43	Correct	2 ms	1116 KB	Output is correct
44	Correct	2 ms	1152 KB	Output is correct
45	Correct	2 ms	1116 KB	Output is correct
46	Correct	3 ms	1372 KB	Output is correct
47	Correct	2 ms	1372 KB	Output is correct
48	Correct	2 ms	1116 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	1112 KB	Output is correct
52	Correct	2 ms	1332 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	1880 KB	Output is correct
56	Correct	29 ms	6232 KB	Output is correct
57	Correct	52 ms	10536 KB	Output is correct
58	Correct	57 ms	13148 KB	Output is correct
59	Correct	77 ms	17500 KB	Output is correct
60	Correct	106 ms	21584 KB	Output is correct
61	Correct	139 ms	24656 KB	Output is correct
62	Correct	126 ms	27216 KB	Output is correct
63	Correct	169 ms	32336 KB	Output is correct
64	Correct	189 ms	34064 KB	Output is correct
65	Correct	68 ms	23724 KB	Output is correct
66	Correct	70 ms	23892 KB	Output is correct
67	Correct	67 ms	23840 KB	Output is correct
68	Correct	128 ms	40272 KB	Output is correct
69	Correct	150 ms	41296 KB	Output is correct
70	Correct	144 ms	41300 KB	Output is correct
71	Correct	257 ms	59828 KB	Output is correct
72	Correct	261 ms	59732 KB	Output is correct
73	Correct	241 ms	59728 KB	Output is correct
74	Correct	233 ms	59728 KB	Output is correct
75	Correct	237 ms	58960 KB	Output is correct
76	Correct	213 ms	59216 KB	Output is correct
77	Correct	211 ms	57552 KB	Output is correct
78	Correct	220 ms	57936 KB	Output is correct
79	Correct	239 ms	59580 KB	Output is correct

Submission #1066618

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