답안 #851446

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
851446	2023-09-19T18:53:31 Z	LucaIlie	Power Plant (JOI20_power)	C++17	100 / 100	607 ms	32600 KB

power

#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 2e5;
const int INF = 1e9;
bool hasPP[MAX_N + 1], vis[MAX_N + 1];
int sizee[MAX_N + 1], dp[MAX_N + 1];
vector<int> edges[MAX_N + 1];

int centroid;
void findCentroid( int u, int p, int sizeTotal ) {
    int maxSize = 0;

    for ( int v: edges[u] ) {
        if ( v == p || vis[v] )
            continue;

        findCentroid( v, u , sizeTotal);
        maxSize = max( maxSize, sizee[v] );
    }
    maxSize = max( maxSize, sizeTotal - sizee[u] );

    if ( maxSize <= sizeTotal / 2 )
        centroid = u;
}

void calcSizes( int u, int p ) {
    sizee[u] = 1;
    for ( int v: edges[u] ) {
        if ( v == p || vis[v] )
            continue;

        calcSizes( v, u );
        sizee[u] += sizee[v];
    }
}

void calcDP( int u, int p ) {
    int sum = 0;
    for ( int v: edges[u] ) {
        if ( v == p || vis[v] )
            continue;
        calcDP( v, u );
        sum += (dp[v] >= 0 ? dp[v] : 0);
    }
    dp[u] = max( sum > 0 ? sum - hasPP[u] : -INF, (hasPP[u] ? 1 : -INF) );
}

int maxProfit = 1;
void decomp( int u ) {
    calcSizes( u, 0 );
    centroid = -1;
    findCentroid( u, 0, sizee[u] );
    int c = centroid;
    vis[c] = true;

    int maxDP[3];
    maxDP[0] = 0;
    maxDP[1] = maxDP[2] = -INF;
    for ( int v: edges[c] ) {
        if ( vis[v] )
            continue;
        calcDP( v, c );
        maxDP[2] = max( maxDP[2], max( maxDP[1], maxDP[2] ) + dp[v] );
        maxDP[1] = max( maxDP[1], maxDP[0] + dp[v] );
    }
    if ( hasPP[c] )
        maxProfit = max( maxProfit, maxDP[1] + 1 );
    maxProfit = max( maxProfit, maxDP[2] - hasPP[c] );

    for ( int v: edges[c] ) {
        if ( vis[v] )
            continue;
        decomp( v );
    }
}

int main() {
    int n;

    cin >> n;
    for ( int i = 0; i < n - 1; i++ ) {
        int u, v;
        cin >> u >> v;
        edges[u].push_back( v );
        edges[v].push_back( u );
    }
    for ( int u = 1; u <= n; u++ ) {
        char ch;
        cin >> ch;
        hasPP[u] = ch - '0';
    }

    decomp( 1 );

    cout << maxProfit;

    return 0;
}

Subtask #1
6.0 / 6.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	6744 KB	Output is correct
2	Correct	1 ms	6744 KB	Output is correct
3	Correct	1 ms	6748 KB	Output is correct
4	Correct	1 ms	6748 KB	Output is correct
5	Correct	1 ms	6744 KB	Output is correct
6	Correct	1 ms	6744 KB	Output is correct
7	Correct	1 ms	6748 KB	Output is correct
8	Correct	2 ms	6744 KB	Output is correct
9	Correct	1 ms	6744 KB	Output is correct
10	Correct	3 ms	6744 KB	Output is correct
11	Correct	1 ms	6744 KB	Output is correct
12	Correct	1 ms	6744 KB	Output is correct
13	Correct	1 ms	6744 KB	Output is correct
14	Correct	1 ms	6748 KB	Output is correct
15	Correct	2 ms	6744 KB	Output is correct
16	Correct	2 ms	6744 KB	Output is correct
17	Correct	1 ms	6744 KB	Output is correct
18	Correct	1 ms	6744 KB	Output is correct
19	Correct	1 ms	6744 KB	Output is correct
20	Correct	1 ms	6744 KB	Output is correct
21	Correct	1 ms	6744 KB	Output is correct

Subtask #2
41.0 / 41.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	6744 KB	Output is correct
2	Correct	1 ms	6744 KB	Output is correct
3	Correct	1 ms	6748 KB	Output is correct
4	Correct	1 ms	6748 KB	Output is correct
5	Correct	1 ms	6744 KB	Output is correct
6	Correct	1 ms	6744 KB	Output is correct
7	Correct	1 ms	6748 KB	Output is correct
8	Correct	2 ms	6744 KB	Output is correct
9	Correct	1 ms	6744 KB	Output is correct
10	Correct	3 ms	6744 KB	Output is correct
11	Correct	1 ms	6744 KB	Output is correct
12	Correct	1 ms	6744 KB	Output is correct
13	Correct	1 ms	6744 KB	Output is correct
14	Correct	1 ms	6748 KB	Output is correct
15	Correct	2 ms	6744 KB	Output is correct
16	Correct	2 ms	6744 KB	Output is correct
17	Correct	1 ms	6744 KB	Output is correct
18	Correct	1 ms	6744 KB	Output is correct
19	Correct	1 ms	6744 KB	Output is correct
20	Correct	1 ms	6744 KB	Output is correct
21	Correct	1 ms	6744 KB	Output is correct
22	Correct	3 ms	6744 KB	Output is correct
23	Correct	3 ms	6748 KB	Output is correct
24	Correct	3 ms	6748 KB	Output is correct
25	Correct	3 ms	7000 KB	Output is correct
26	Correct	4 ms	6744 KB	Output is correct
27	Correct	3 ms	6744 KB	Output is correct
28	Correct	3 ms	6896 KB	Output is correct
29	Correct	3 ms	6748 KB	Output is correct
30	Correct	3 ms	6756 KB	Output is correct
31	Correct	3 ms	6744 KB	Output is correct
32	Correct	3 ms	6744 KB	Output is correct
33	Correct	3 ms	6748 KB	Output is correct
34	Correct	3 ms	6744 KB	Output is correct
35	Correct	3 ms	6744 KB	Output is correct
36	Correct	3 ms	6744 KB	Output is correct
37	Correct	3 ms	6748 KB	Output is correct
38	Correct	2 ms	6744 KB	Output is correct
39	Correct	3 ms	6744 KB	Output is correct
40	Correct	4 ms	7000 KB	Output is correct
41	Correct	3 ms	6744 KB	Output is correct
42	Correct	3 ms	6744 KB	Output is correct
43	Correct	3 ms	6744 KB	Output is correct
44	Correct	3 ms	6744 KB	Output is correct
45	Correct	3 ms	6744 KB	Output is correct
46	Correct	3 ms	6748 KB	Output is correct
47	Correct	3 ms	6744 KB	Output is correct
48	Correct	3 ms	6744 KB	Output is correct
49	Correct	3 ms	6744 KB	Output is correct
50	Correct	3 ms	6744 KB	Output is correct
51	Correct	3 ms	6744 KB	Output is correct
52	Correct	3 ms	6748 KB	Output is correct
53	Correct	3 ms	6744 KB	Output is correct
54	Correct	3 ms	6744 KB	Output is correct
55	Correct	3 ms	6744 KB	Output is correct
56	Correct	2 ms	6744 KB	Output is correct
57	Correct	3 ms	7004 KB	Output is correct
58	Correct	2 ms	6744 KB	Output is correct
59	Correct	2 ms	6744 KB	Output is correct
60	Correct	3 ms	6744 KB	Output is correct
61	Correct	2 ms	6744 KB	Output is correct
62	Correct	3 ms	6744 KB	Output is correct
63	Correct	2 ms	6744 KB	Output is correct

Subtask #3
53.0 / 53.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	6744 KB	Output is correct
2	Correct	1 ms	6744 KB	Output is correct
3	Correct	1 ms	6748 KB	Output is correct
4	Correct	1 ms	6748 KB	Output is correct
5	Correct	1 ms	6744 KB	Output is correct
6	Correct	1 ms	6744 KB	Output is correct
7	Correct	1 ms	6748 KB	Output is correct
8	Correct	2 ms	6744 KB	Output is correct
9	Correct	1 ms	6744 KB	Output is correct
10	Correct	3 ms	6744 KB	Output is correct
11	Correct	1 ms	6744 KB	Output is correct
12	Correct	1 ms	6744 KB	Output is correct
13	Correct	1 ms	6744 KB	Output is correct
14	Correct	1 ms	6748 KB	Output is correct
15	Correct	2 ms	6744 KB	Output is correct
16	Correct	2 ms	6744 KB	Output is correct
17	Correct	1 ms	6744 KB	Output is correct
18	Correct	1 ms	6744 KB	Output is correct
19	Correct	1 ms	6744 KB	Output is correct
20	Correct	1 ms	6744 KB	Output is correct
21	Correct	1 ms	6744 KB	Output is correct
22	Correct	3 ms	6744 KB	Output is correct
23	Correct	3 ms	6748 KB	Output is correct
24	Correct	3 ms	6748 KB	Output is correct
25	Correct	3 ms	7000 KB	Output is correct
26	Correct	4 ms	6744 KB	Output is correct
27	Correct	3 ms	6744 KB	Output is correct
28	Correct	3 ms	6896 KB	Output is correct
29	Correct	3 ms	6748 KB	Output is correct
30	Correct	3 ms	6756 KB	Output is correct
31	Correct	3 ms	6744 KB	Output is correct
32	Correct	3 ms	6744 KB	Output is correct
33	Correct	3 ms	6748 KB	Output is correct
34	Correct	3 ms	6744 KB	Output is correct
35	Correct	3 ms	6744 KB	Output is correct
36	Correct	3 ms	6744 KB	Output is correct
37	Correct	3 ms	6748 KB	Output is correct
38	Correct	2 ms	6744 KB	Output is correct
39	Correct	3 ms	6744 KB	Output is correct
40	Correct	4 ms	7000 KB	Output is correct
41	Correct	3 ms	6744 KB	Output is correct
42	Correct	3 ms	6744 KB	Output is correct
43	Correct	3 ms	6744 KB	Output is correct
44	Correct	3 ms	6744 KB	Output is correct
45	Correct	3 ms	6744 KB	Output is correct
46	Correct	3 ms	6748 KB	Output is correct
47	Correct	3 ms	6744 KB	Output is correct
48	Correct	3 ms	6744 KB	Output is correct
49	Correct	3 ms	6744 KB	Output is correct
50	Correct	3 ms	6744 KB	Output is correct
51	Correct	3 ms	6744 KB	Output is correct
52	Correct	3 ms	6748 KB	Output is correct
53	Correct	3 ms	6744 KB	Output is correct
54	Correct	3 ms	6744 KB	Output is correct
55	Correct	3 ms	6744 KB	Output is correct
56	Correct	2 ms	6744 KB	Output is correct
57	Correct	3 ms	7004 KB	Output is correct
58	Correct	2 ms	6744 KB	Output is correct
59	Correct	2 ms	6744 KB	Output is correct
60	Correct	3 ms	6744 KB	Output is correct
61	Correct	2 ms	6744 KB	Output is correct
62	Correct	3 ms	6744 KB	Output is correct
63	Correct	2 ms	6744 KB	Output is correct
64	Correct	344 ms	16160 KB	Output is correct
65	Correct	323 ms	15956 KB	Output is correct
66	Correct	331 ms	15956 KB	Output is correct
67	Correct	309 ms	15956 KB	Output is correct
68	Correct	327 ms	15952 KB	Output is correct
69	Correct	319 ms	16292 KB	Output is correct
70	Correct	354 ms	15952 KB	Output is correct
71	Correct	338 ms	16156 KB	Output is correct
72	Correct	340 ms	16164 KB	Output is correct
73	Correct	584 ms	31308 KB	Output is correct
74	Correct	607 ms	31236 KB	Output is correct
75	Correct	286 ms	15912 KB	Output is correct
76	Correct	332 ms	15956 KB	Output is correct
77	Correct	384 ms	16040 KB	Output is correct
78	Correct	363 ms	15864 KB	Output is correct
79	Correct	335 ms	15952 KB	Output is correct
80	Correct	326 ms	15860 KB	Output is correct
81	Correct	168 ms	16328 KB	Output is correct
82	Correct	148 ms	16080 KB	Output is correct
83	Correct	436 ms	22388 KB	Output is correct
84	Correct	496 ms	24968 KB	Output is correct
85	Correct	452 ms	24296 KB	Output is correct
86	Correct	417 ms	17772 KB	Output is correct
87	Correct	406 ms	16976 KB	Output is correct
88	Correct	252 ms	17512 KB	Output is correct
89	Correct	279 ms	17532 KB	Output is correct
90	Correct	249 ms	17272 KB	Output is correct
91	Correct	304 ms	17548 KB	Output is correct
92	Correct	278 ms	17948 KB	Output is correct
93	Correct	295 ms	22828 KB	Output is correct
94	Correct	332 ms	24376 KB	Output is correct
95	Correct	283 ms	21192 KB	Output is correct
96	Correct	315 ms	19024 KB	Output is correct
97	Correct	239 ms	17488 KB	Output is correct
98	Correct	223 ms	16580 KB	Output is correct
99	Correct	261 ms	16592 KB	Output is correct
100	Correct	258 ms	20192 KB	Output is correct
101	Correct	270 ms	17900 KB	Output is correct
102	Correct	256 ms	16916 KB	Output is correct
103	Correct	261 ms	16720 KB	Output is correct
104	Correct	116 ms	16896 KB	Output is correct
105	Correct	525 ms	27496 KB	Output is correct
106	Correct	119 ms	16576 KB	Output is correct
107	Correct	113 ms	16496 KB	Output is correct
108	Correct	537 ms	32336 KB	Output is correct
109	Correct	123 ms	16840 KB	Output is correct
110	Correct	526 ms	32600 KB	Output is correct
111	Correct	230 ms	16208 KB	Output is correct

답안 #851446

Compilation message

Subtask #1 6.0 / 6.0

Subtask #2 41.0 / 41.0

Subtask #3 53.0 / 53.0

Subtask #1
6.0 / 6.0

Subtask #2
41.0 / 41.0

Subtask #3
53.0 / 53.0