Submission #826723

# Submission time Handle Problem Language Result Execution time Memory
826723 2023-08-15T22:59:57 Z arnold518 Catfish Farm (IOI22_fish) C++17
100 / 100
155 ms 39144 KB
#include "fish.h"
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAXN = 1e5;
const ll INF = 1e18;

int N, M;
vector<pii> V[MAXN+10];
vector<ll> dp1[MAXN+10], dp2[MAXN+10];

struct BIT
{
	ll tree[MAXN+10];
	void init() { for(int i=1; i<=N; i++) tree[i]=-INF; }
	void update(int i, ll k) { for(; i<=N; i+=(i&-i)) tree[i]=max(tree[i], k); }
	ll query(int i) { ll ret=-INF; for(; i>0; i-=(i&-i)) ret=max(ret, tree[i]); return ret; }
}bit1, bit2;

ll max_weights(int _N, int _M, vector<int> _X, vector<int> _Y, vector<int> _W)
{
	N=_N; M=_M;
	for(int i=0; i<M; i++)
	{
		int x=_X[i]+1, y=_Y[i]+1, w=_W[i];
		V[x].push_back({y, w});
	}
	for(int i=0; i<=N+1; i++)
	{
		sort(V[i].begin(), V[i].end());
		if(V[i].empty() || V[i][0].first!=1) V[i].push_back({1, 0});
		if(V[i].back().first!=N) V[i].push_back({N, 0});
		sort(V[i].begin(), V[i].end());

		dp1[i]=vector<ll>(V[i].size(), -INF);
		dp2[i]=vector<ll>(V[i].size(), -INF);
	}

	
	bit1.init(); bit2.init();
	dp2[0][0]=0; dp1[0][dp1[0].size()-1]=0;
	ll p=-INF, q=-INF, ans=0;
	for(int i=0; i<=N+1; i++)
	{
		int t=V[i].size();
		if(i-1>=0) p=max(p, dp2[i-1][0]);
		if(i-2>=0) q=max(q, dp1[i-2].back());

		dp1[i][0]=max(dp1[i][0], p+V[i][0].second);
		if(i-2>=0) dp1[i][0]=max(dp1[i][0], dp1[i-2].back()+V[i][0].second);
		dp2[i][t-1]=max(dp2[i][t-1], q+V[i][t-1].second);
		for(int j=0; j<t; j++)
		{
			auto [y, w] = V[i][j];
			dp1[i][j]=max(dp1[i][j], bit1.query(y-1)+w);
			bit1.update(y, dp1[i][j]);
		}
		for(int j=t-1; j>=0; j--)
		{
			auto [y, w] = V[i][j];
			dp2[i][j]=max(dp2[i][j], bit2.query(N-y)+w);
			bit2.update(N-y+1, dp2[i][j]);
		}

		ans=max(ans, dp2[i][0]);
		// for(auto it : dp1[i]) printf("%lld ", it); printf("\n");
		// for(auto it : dp2[i]) printf("%lld ", it); printf("\n");
		// printf("\n");
	}
	return ans;
}
# Verdict Execution time Memory Grader output
1 Correct 55 ms 20928 KB Output is correct
2 Correct 62 ms 22888 KB Output is correct
3 Correct 28 ms 18260 KB Output is correct
4 Correct 28 ms 18260 KB Output is correct
5 Correct 150 ms 32412 KB Output is correct
6 Correct 152 ms 33224 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 7252 KB Output is correct
2 Correct 83 ms 24764 KB Output is correct
3 Correct 121 ms 27736 KB Output is correct
4 Correct 53 ms 21012 KB Output is correct
5 Correct 62 ms 22988 KB Output is correct
6 Correct 3 ms 7252 KB Output is correct
7 Correct 3 ms 7356 KB Output is correct
8 Correct 3 ms 7356 KB Output is correct
9 Correct 3 ms 7252 KB Output is correct
10 Correct 27 ms 18264 KB Output is correct
11 Correct 28 ms 18244 KB Output is correct
12 Correct 55 ms 22376 KB Output is correct
13 Correct 64 ms 24760 KB Output is correct
14 Correct 55 ms 22396 KB Output is correct
15 Correct 66 ms 24148 KB Output is correct
16 Correct 54 ms 22464 KB Output is correct
17 Correct 61 ms 24112 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 27 ms 18308 KB Output is correct
2 Correct 34 ms 18404 KB Output is correct
3 Correct 38 ms 18532 KB Output is correct
4 Correct 37 ms 19056 KB Output is correct
5 Correct 55 ms 20612 KB Output is correct
6 Correct 51 ms 20536 KB Output is correct
7 Correct 69 ms 20632 KB Output is correct
8 Correct 52 ms 20564 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 7252 KB Output is correct
2 Correct 3 ms 7256 KB Output is correct
3 Correct 3 ms 7252 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 3 ms 7252 KB Output is correct
6 Correct 3 ms 7356 KB Output is correct
7 Correct 3 ms 7252 KB Output is correct
8 Correct 3 ms 7252 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 4 ms 7508 KB Output is correct
11 Correct 4 ms 7380 KB Output is correct
12 Correct 4 ms 7380 KB Output is correct
13 Correct 3 ms 7356 KB Output is correct
14 Correct 4 ms 7380 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 7252 KB Output is correct
2 Correct 3 ms 7256 KB Output is correct
3 Correct 3 ms 7252 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 3 ms 7252 KB Output is correct
6 Correct 3 ms 7356 KB Output is correct
7 Correct 3 ms 7252 KB Output is correct
8 Correct 3 ms 7252 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 4 ms 7508 KB Output is correct
11 Correct 4 ms 7380 KB Output is correct
12 Correct 4 ms 7380 KB Output is correct
13 Correct 3 ms 7356 KB Output is correct
14 Correct 4 ms 7380 KB Output is correct
15 Correct 3 ms 7380 KB Output is correct
16 Correct 4 ms 7408 KB Output is correct
17 Correct 17 ms 10324 KB Output is correct
18 Correct 17 ms 10580 KB Output is correct
19 Correct 17 ms 10568 KB Output is correct
20 Correct 18 ms 10564 KB Output is correct
21 Correct 17 ms 10452 KB Output is correct
22 Correct 35 ms 13632 KB Output is correct
23 Correct 6 ms 7892 KB Output is correct
24 Correct 13 ms 9300 KB Output is correct
25 Correct 5 ms 7368 KB Output is correct
26 Correct 6 ms 7852 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 7252 KB Output is correct
2 Correct 3 ms 7256 KB Output is correct
3 Correct 3 ms 7252 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 3 ms 7252 KB Output is correct
6 Correct 3 ms 7356 KB Output is correct
7 Correct 3 ms 7252 KB Output is correct
8 Correct 3 ms 7252 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 4 ms 7508 KB Output is correct
11 Correct 4 ms 7380 KB Output is correct
12 Correct 4 ms 7380 KB Output is correct
13 Correct 3 ms 7356 KB Output is correct
14 Correct 4 ms 7380 KB Output is correct
15 Correct 3 ms 7380 KB Output is correct
16 Correct 4 ms 7408 KB Output is correct
17 Correct 17 ms 10324 KB Output is correct
18 Correct 17 ms 10580 KB Output is correct
19 Correct 17 ms 10568 KB Output is correct
20 Correct 18 ms 10564 KB Output is correct
21 Correct 17 ms 10452 KB Output is correct
22 Correct 35 ms 13632 KB Output is correct
23 Correct 6 ms 7892 KB Output is correct
24 Correct 13 ms 9300 KB Output is correct
25 Correct 5 ms 7368 KB Output is correct
26 Correct 6 ms 7852 KB Output is correct
27 Correct 5 ms 7764 KB Output is correct
28 Correct 71 ms 22680 KB Output is correct
29 Correct 115 ms 28476 KB Output is correct
30 Correct 108 ms 28344 KB Output is correct
31 Correct 101 ms 28108 KB Output is correct
32 Correct 95 ms 28904 KB Output is correct
33 Correct 102 ms 28128 KB Output is correct
34 Correct 102 ms 28108 KB Output is correct
35 Correct 41 ms 15564 KB Output is correct
36 Correct 102 ms 28684 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 27 ms 18308 KB Output is correct
2 Correct 34 ms 18404 KB Output is correct
3 Correct 38 ms 18532 KB Output is correct
4 Correct 37 ms 19056 KB Output is correct
5 Correct 55 ms 20612 KB Output is correct
6 Correct 51 ms 20536 KB Output is correct
7 Correct 69 ms 20632 KB Output is correct
8 Correct 52 ms 20564 KB Output is correct
9 Correct 57 ms 22104 KB Output is correct
10 Correct 45 ms 17612 KB Output is correct
11 Correct 85 ms 28004 KB Output is correct
12 Correct 3 ms 7352 KB Output is correct
13 Correct 3 ms 7252 KB Output is correct
14 Correct 3 ms 7252 KB Output is correct
15 Correct 3 ms 7252 KB Output is correct
16 Correct 3 ms 7252 KB Output is correct
17 Correct 3 ms 7252 KB Output is correct
18 Correct 27 ms 18220 KB Output is correct
19 Correct 27 ms 18260 KB Output is correct
20 Correct 27 ms 18292 KB Output is correct
21 Correct 27 ms 18260 KB Output is correct
22 Correct 66 ms 24768 KB Output is correct
23 Correct 95 ms 31700 KB Output is correct
24 Correct 100 ms 32596 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 55 ms 20928 KB Output is correct
2 Correct 62 ms 22888 KB Output is correct
3 Correct 28 ms 18260 KB Output is correct
4 Correct 28 ms 18260 KB Output is correct
5 Correct 150 ms 32412 KB Output is correct
6 Correct 152 ms 33224 KB Output is correct
7 Correct 3 ms 7252 KB Output is correct
8 Correct 83 ms 24764 KB Output is correct
9 Correct 121 ms 27736 KB Output is correct
10 Correct 53 ms 21012 KB Output is correct
11 Correct 62 ms 22988 KB Output is correct
12 Correct 3 ms 7252 KB Output is correct
13 Correct 3 ms 7356 KB Output is correct
14 Correct 3 ms 7356 KB Output is correct
15 Correct 3 ms 7252 KB Output is correct
16 Correct 27 ms 18264 KB Output is correct
17 Correct 28 ms 18244 KB Output is correct
18 Correct 55 ms 22376 KB Output is correct
19 Correct 64 ms 24760 KB Output is correct
20 Correct 55 ms 22396 KB Output is correct
21 Correct 66 ms 24148 KB Output is correct
22 Correct 54 ms 22464 KB Output is correct
23 Correct 61 ms 24112 KB Output is correct
24 Correct 27 ms 18308 KB Output is correct
25 Correct 34 ms 18404 KB Output is correct
26 Correct 38 ms 18532 KB Output is correct
27 Correct 37 ms 19056 KB Output is correct
28 Correct 55 ms 20612 KB Output is correct
29 Correct 51 ms 20536 KB Output is correct
30 Correct 69 ms 20632 KB Output is correct
31 Correct 52 ms 20564 KB Output is correct
32 Correct 3 ms 7252 KB Output is correct
33 Correct 3 ms 7256 KB Output is correct
34 Correct 3 ms 7252 KB Output is correct
35 Correct 4 ms 7380 KB Output is correct
36 Correct 3 ms 7252 KB Output is correct
37 Correct 3 ms 7356 KB Output is correct
38 Correct 3 ms 7252 KB Output is correct
39 Correct 3 ms 7252 KB Output is correct
40 Correct 4 ms 7380 KB Output is correct
41 Correct 4 ms 7508 KB Output is correct
42 Correct 4 ms 7380 KB Output is correct
43 Correct 4 ms 7380 KB Output is correct
44 Correct 3 ms 7356 KB Output is correct
45 Correct 4 ms 7380 KB Output is correct
46 Correct 3 ms 7380 KB Output is correct
47 Correct 4 ms 7408 KB Output is correct
48 Correct 17 ms 10324 KB Output is correct
49 Correct 17 ms 10580 KB Output is correct
50 Correct 17 ms 10568 KB Output is correct
51 Correct 18 ms 10564 KB Output is correct
52 Correct 17 ms 10452 KB Output is correct
53 Correct 35 ms 13632 KB Output is correct
54 Correct 6 ms 7892 KB Output is correct
55 Correct 13 ms 9300 KB Output is correct
56 Correct 5 ms 7368 KB Output is correct
57 Correct 6 ms 7852 KB Output is correct
58 Correct 5 ms 7764 KB Output is correct
59 Correct 71 ms 22680 KB Output is correct
60 Correct 115 ms 28476 KB Output is correct
61 Correct 108 ms 28344 KB Output is correct
62 Correct 101 ms 28108 KB Output is correct
63 Correct 95 ms 28904 KB Output is correct
64 Correct 102 ms 28128 KB Output is correct
65 Correct 102 ms 28108 KB Output is correct
66 Correct 41 ms 15564 KB Output is correct
67 Correct 102 ms 28684 KB Output is correct
68 Correct 57 ms 22104 KB Output is correct
69 Correct 45 ms 17612 KB Output is correct
70 Correct 85 ms 28004 KB Output is correct
71 Correct 3 ms 7352 KB Output is correct
72 Correct 3 ms 7252 KB Output is correct
73 Correct 3 ms 7252 KB Output is correct
74 Correct 3 ms 7252 KB Output is correct
75 Correct 3 ms 7252 KB Output is correct
76 Correct 3 ms 7252 KB Output is correct
77 Correct 27 ms 18220 KB Output is correct
78 Correct 27 ms 18260 KB Output is correct
79 Correct 27 ms 18292 KB Output is correct
80 Correct 27 ms 18260 KB Output is correct
81 Correct 66 ms 24768 KB Output is correct
82 Correct 95 ms 31700 KB Output is correct
83 Correct 100 ms 32596 KB Output is correct
84 Correct 136 ms 37784 KB Output is correct
85 Correct 138 ms 38156 KB Output is correct
86 Correct 152 ms 38176 KB Output is correct
87 Correct 155 ms 39144 KB Output is correct
88 Correct 3 ms 7252 KB Output is correct
89 Correct 152 ms 39136 KB Output is correct
90 Correct 135 ms 37984 KB Output is correct
91 Correct 130 ms 37964 KB Output is correct