Submission #1066608

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1066608	2024-08-20T03:16:13 Z	Math4Life2020	Fireworks (APIO16_fireworks)	C++17	100 / 100	287 ms	64104 KB

fireworks

// Source: https://usaco.guide/general/io

#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;
		for (ll x: x0.flip) {
			flip.insert(x);
		}
		//flip.erase(--flip.end());
	}
	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	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	1 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	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	456 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	1 ms	460 KB	Output is correct
7	Correct	1 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	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	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	1 ms	344 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	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	1 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	0 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	0 ms	456 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 ms	460 KB	Output is correct
17	Correct	1 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	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	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	1 ms	344 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	1 ms	604 KB	Output is correct
34	Correct	2 ms	604 KB	Output is correct
35	Correct	2 ms	860 KB	Output is correct
36	Correct	2 ms	804 KB	Output is correct
37	Correct	3 ms	860 KB	Output is correct
38	Correct	2 ms	1116 KB	Output is correct
39	Correct	2 ms	1124 KB	Output is correct
40	Correct	1 ms	900 KB	Output is correct
41	Correct	1 ms	856 KB	Output is correct
42	Correct	2 ms	856 KB	Output is correct
43	Correct	2 ms	1168 KB	Output is correct
44	Correct	3 ms	1112 KB	Output is correct
45	Correct	2 ms	1116 KB	Output is correct
46	Correct	3 ms	1488 KB	Output is correct
47	Correct	4 ms	1512 KB	Output is correct
48	Correct	2 ms	1228 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	1328 KB	Output is correct
52	Correct	3 ms	1372 KB	Output is correct
53	Correct	3 ms	1372 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	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	1 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	0 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	0 ms	456 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 ms	460 KB	Output is correct
17	Correct	1 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	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	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	1 ms	344 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	1 ms	604 KB	Output is correct
34	Correct	2 ms	604 KB	Output is correct
35	Correct	2 ms	860 KB	Output is correct
36	Correct	2 ms	804 KB	Output is correct
37	Correct	3 ms	860 KB	Output is correct
38	Correct	2 ms	1116 KB	Output is correct
39	Correct	2 ms	1124 KB	Output is correct
40	Correct	1 ms	900 KB	Output is correct
41	Correct	1 ms	856 KB	Output is correct
42	Correct	2 ms	856 KB	Output is correct
43	Correct	2 ms	1168 KB	Output is correct
44	Correct	3 ms	1112 KB	Output is correct
45	Correct	2 ms	1116 KB	Output is correct
46	Correct	3 ms	1488 KB	Output is correct
47	Correct	4 ms	1512 KB	Output is correct
48	Correct	2 ms	1228 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	1328 KB	Output is correct
52	Correct	3 ms	1372 KB	Output is correct
53	Correct	3 ms	1372 KB	Output is correct
54	Correct	3 ms	1372 KB	Output is correct
55	Correct	7 ms	2196 KB	Output is correct
56	Correct	26 ms	7004 KB	Output is correct
57	Correct	48 ms	11604 KB	Output is correct
58	Correct	67 ms	14936 KB	Output is correct
59	Correct	94 ms	19792 KB	Output is correct
60	Correct	104 ms	24404 KB	Output is correct
61	Correct	130 ms	27704 KB	Output is correct
62	Correct	136 ms	30608 KB	Output is correct
63	Correct	187 ms	36436 KB	Output is correct
64	Correct	187 ms	38472 KB	Output is correct
65	Correct	69 ms	28752 KB	Output is correct
66	Correct	71 ms	28692 KB	Output is correct
67	Correct	80 ms	28844 KB	Output is correct
68	Correct	128 ms	45028 KB	Output is correct
69	Correct	160 ms	45936 KB	Output is correct
70	Correct	154 ms	45860 KB	Output is correct
71	Correct	287 ms	63892 KB	Output is correct
72	Correct	268 ms	64104 KB	Output is correct
73	Correct	238 ms	63828 KB	Output is correct
74	Correct	255 ms	63824 KB	Output is correct
75	Correct	220 ms	62804 KB	Output is correct
76	Correct	227 ms	63164 KB	Output is correct
77	Correct	236 ms	61652 KB	Output is correct
78	Correct	246 ms	61764 KB	Output is correct
79	Correct	219 ms	63188 KB	Output is correct

Submission #1066608

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