oj.uz

Submission #761007

# Submission time Handle Problem Language Result Execution time Memory
761007 2023-06-19T02:28:54 Z ducanh1234 Catfish Farm (IOI22_fish) C++17
100 / 100
 368 ms 82144 KB 
#include "fish.h"
 
#include "bits/stdc++.h"
using namespace std;
 
#ifndef EVAL
#include "grader.cpp"
#endif
 
#define ar array
typedef int32_t ii;
typedef long long ll;
#define int ll
 
/*
 
5 4
0 2 5
1 1 2
4 4 1
3 3 3
 
*/
 
const int INF = 1e18;
 
int max_weights(ii n, ii m, vector<ii> x, vector<ii> y, vector<ii> w) {
	
	vector<vector<ar<int, 2>>> a(n + 1);
	for(int i=0;i<m;i++){
		x[i]++, y[i]++;
		for(int t=-1;t<2;t++){
			if(0 < x[i] + t && x[i] + t <= n){
				a[x[i] + t].push_back({y[i], (t == 0) * w[i]});
			}
		}
	}
	
	vector<vector<ar<int, 2>>> dp(n + 1);
	vector<vector<int>> pref(n + 2);
	vector<vector<int>> tp(n + 1);
	for(int i=0;i<=n;i++){
		a[i].push_back({0, 0});
		sort(a[i].begin(), a[i].end());
		vector<ar<int, 2>> b;
		for(auto [x, w] : a[i]){
			if(b.empty() || b.back()[0] != x) b.push_back({x, 0});
			b.back()[1] += w;
		}
		swap(a[i], b);
		pref[i].resize(a[i].size());
		dp[i].resize(a[i].size());
		tp[i].resize(a[i].size());
		for(int j=1;j<(int)pref[i].size();j++){
			pref[i][j] = pref[i][j-1] + a[i][j][1];
		}
	}
	//~ auto low = [&](int i, int j){
		//~ int p = upper_bound(a[i].begin(), a[i].end(), (ar<int, 2>){j, INF}) - a[i].begin();
		//~ return p - 1;
	//~ };
	//~ auto upp = [&](int i, int j){
		//~ int p = lower_bound(a[i].begin(), a[i].end(), (ar<int, 2>){j, 0ll}) - a[i].begin();
		//~ return p - 1;
	//~ };
	
	vector<int> pref_tp, suff_tp, pref_00, suff_11, suff_01;
	
	{
		pref_tp.resize(a[1].size());
		pref_00.resize(a[1].size());
		suff_tp.resize(a[1].size());
		suff_01.resize(a[1].size());
		suff_11.resize(a[1].size());
	}
	
	vector<int> mx(n + 1);
	
/*	
 
5 4
0 2 5
1 1 2
4 4 1
3 3 3
 
*/
	
	for(int i=1;i<=n;i++){
		int j_ = 0;
		for(int j=1;j<(int)a[i].size();j++){ // int j_ = a[i][j][0];
			while(j_ + 1 < (int)a[i - 1].size() && a[i - 1][j_ + 1][0] <= a[i][j][0]) j_++;
			dp[i][j][0] = pref[i - 1][j_];
			if(3 <= i) dp[i][j][0] += mx[i - 3];
			
			if(i > 1){
				dp[i][j][0] = max(dp[i][j][0], pref_00[j] + pref[i - 1][j_]);
				dp[i][j][1] = max(dp[i][j][1], suff_11[j] - pref[i][j]);
				dp[i][j][1] = max(dp[i][j][1], suff_01[j] - pref[i][j]);
			}
			if(i > 2){
				dp[i][j][0] = max(dp[i][j][0], pref_tp[j] + pref[i - 1][j_]);
				dp[i][j][0] = max(dp[i][j][0], suff_tp[j]);
			}
			
			tp[i][j] = max(dp[i][j][0], dp[i][j][1]);
			mx[i] = max(mx[i], tp[i][j]);
		}
		
		//~ cout<<"here"<<endl;
		
		if(i < n){
			pref_00.resize(a[i + 1].size());
			pref_tp.resize(a[i + 1].size());
			
			suff_tp.resize(a[i + 1].size() + 1);
			suff_11.resize(a[i + 1].size() + 1);
			suff_01.resize(a[i + 1].size() + 1);
			
			int j_ = 1;
			for(int j=1;j<(int)a[i + 1].size();j++){
				pref_00[j] = pref_00[j - 1];
				while(j_ < (int)a[i].size() && a[i][j_][0] <= a[i + 1][j][0]){
					pref_00[j] = max(pref_00[j], dp[i][j_][0] - pref[i][j_]);
					j_++;
				} 
				//~ pref_00[j] = max(pref_00[j], dp[i][j][0] - pref[i][j]);
			}
			{
				int j_ = (int)a[i].size() - 1, _j = (int)a[i + 1].size() - 1;
				for(int j=_j;j>0;j--){
					suff_11[j] = suff_11[j + 1];
					while(j_ >= 0 && a[i][j_][0] > a[i + 1][j][0]){
						while(a[i][j_][0] < a[i + 1][_j][0]) _j--;
						suff_11[j] = max(suff_11[j], dp[i][j_][1] + pref[i + 1][_j]);
						j_--;
					}
					while(a[i][j_][0] < a[i + 1][_j][0]) _j--;
					suff_11[j] = max(suff_11[j], dp[i][j_][1] + pref[i + 1][_j]);
				}
				
				j_ = (int)a[i].size() - 1, _j = (int)a[i + 1].size() - 1;
				for(int j=_j;j>0;j--){
					suff_01[j] = suff_01[j + 1];
					while(j_ >= 0 && a[i][j_][0] > a[i + 1][j][0] + 1){
						while(a[i][j_][0] < a[i + 1][_j][0]) _j--;
						suff_01[j] = max(suff_01[j], dp[i][j_][0] + pref[i + 1][_j]);
						j_--;
					}
					while(a[i][j_][0] < a[i + 1][_j][0]) _j--;
					suff_01[j] = max(suff_01[j], dp[i][j_][0] + pref[i + 1][_j]);
				}
			}
			
			if(1 < i){
				int j_ = 1;
				for(int j=1;j<(int)a[i + 1].size();j++){
					pref_tp[j] = pref_tp[j - 1];
					while(j_ < (int)a[i - 1].size() && a[i - 1][j_][0] <= a[i + 1][j][0]){
						pref_tp[j] = max(pref_tp[j], tp[i - 1][j_]);
						j_++;
					}
				}
				
				{
					int j_ = (int)a[i - 1].size() - 1, _j = (int)a[i].size() - 1;
					for(int j = (int)a[i + 1].size() - 1;j>0;j--){
						suff_tp[j] = suff_tp[j + 1];
						while(j_ >= 0 && a[i - 1][j_][0] > a[i + 1][j][0]){
							while(a[i - 1][j_][0] < a[i][_j][0]) _j--;
							suff_tp[j] = max(suff_tp[j], tp[i - 1][j_] + pref[i][_j]);
							j_--;
						}
						while(a[i - 1][j_][0] < a[i][_j][0]) _j--;
						suff_tp[j] = max(suff_tp[j], tp[i - 1][j_] + pref[i][_j]);
					}
				}
			}
			
			{
				int j_ = 0;
				for(int j=1;j<(int)a[i].size();j++){
					while(j_ + 1 < (int)a[i + 1].size()	&& a[i + 1][j_ + 1][0] <= a[i][j][0]){
						j_++;
					}
					
					mx[i] = max(mx[i], tp[i][j] + pref[i + 1][j_]);
				}
			}
			
			//~ for(int j=1;j<=n;j++){
				//~ mx[i] = max(mx[i], tp[i][j] + pref[i + 1][j]);
				 
				//~ if(i > 1){
					//~ pref_tp[j] = max(pref_tp[j - 1], tp[i - 1][j]);
				//~ } 
				//~ pref_00[j] = max(pref_00[j - 1], dp[i][j][0] - pref[i][j]);
			//~ }
			//~ for(int j=n;j>=1;j--){
				//~ if(i > 1){
					//~ suff_tp[j] = max(suff_tp[j + 1], tp[i - 1][j] + pref[i][j]);
				//~ } 
				
				//~ suff_11[j] = max(suff_11[j + 1], dp[i][j][1] + pref[i + 1][j]);
				//~ suff_01[j] = max(suff_01[j + 1], dp[i][j][0] + pref[i + 1][j]);
			//~ }
		}
		mx[i] = max(mx[i-1], mx[i]);
	}
	
	return mx[n];
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 35288 KB Output is correct
2 Correct 85 ms 40936 KB Output is correct
3 Correct 33 ms 22892 KB Output is correct
4 Correct 32 ms 22912 KB Output is correct
5 Correct 236 ms 76108 KB Output is correct
6 Correct 348 ms 75752 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 336 KB Output is correct
2 Correct 122 ms 42264 KB Output is correct
3 Correct 151 ms 48088 KB Output is correct
4 Correct 70 ms 35212 KB Output is correct
5 Correct 89 ms 41000 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 32 ms 22872 KB Output is correct
11 Correct 32 ms 22888 KB Output is correct
12 Correct 83 ms 39072 KB Output is correct
13 Correct 100 ms 45696 KB Output is correct
14 Correct 82 ms 37280 KB Output is correct
15 Correct 83 ms 35032 KB Output is correct
16 Correct 77 ms 37212 KB Output is correct
17 Correct 87 ms 41320 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 23008 KB Output is correct
2 Correct 32 ms 22940 KB Output is correct
3 Correct 64 ms 23936 KB Output is correct
4 Correct 56 ms 25292 KB Output is correct
5 Correct 109 ms 28732 KB Output is correct
6 Correct 109 ms 28808 KB Output is correct
7 Correct 111 ms 28848 KB Output is correct
8 Correct 105 ms 28856 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 24 ms 5320 KB Output is correct
18 Correct 24 ms 4824 KB Output is correct
19 Correct 22 ms 4828 KB Output is correct
20 Correct 22 ms 4308 KB Output is correct
21 Correct 22 ms 4308 KB Output is correct
22 Correct 44 ms 8272 KB Output is correct
23 Correct 6 ms 1876 KB Output is correct
24 Correct 17 ms 4384 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 5 ms 1748 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 24 ms 5320 KB Output is correct
18 Correct 24 ms 4824 KB Output is correct
19 Correct 22 ms 4828 KB Output is correct
20 Correct 22 ms 4308 KB Output is correct
21 Correct 22 ms 4308 KB Output is correct
22 Correct 44 ms 8272 KB Output is correct
23 Correct 6 ms 1876 KB Output is correct
24 Correct 17 ms 4384 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 5 ms 1748 KB Output is correct
27 Correct 3 ms 1364 KB Output is correct
28 Correct 114 ms 21124 KB Output is correct
29 Correct 188 ms 34064 KB Output is correct
30 Correct 213 ms 60124 KB Output is correct
31 Correct 232 ms 59488 KB Output is correct
32 Correct 154 ms 27908 KB Output is correct
33 Correct 215 ms 60660 KB Output is correct
34 Correct 222 ms 60620 KB Output is correct
35 Correct 71 ms 17692 KB Output is correct
36 Correct 196 ms 48208 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 23008 KB Output is correct
2 Correct 32 ms 22940 KB Output is correct
3 Correct 64 ms 23936 KB Output is correct
4 Correct 56 ms 25292 KB Output is correct
5 Correct 109 ms 28732 KB Output is correct
6 Correct 109 ms 28808 KB Output is correct
7 Correct 111 ms 28848 KB Output is correct
8 Correct 105 ms 28856 KB Output is correct
9 Correct 115 ms 38084 KB Output is correct
10 Correct 74 ms 17988 KB Output is correct
11 Correct 175 ms 35792 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 32 ms 23000 KB Output is correct
19 Correct 32 ms 22984 KB Output is correct
20 Correct 41 ms 22948 KB Output is correct
21 Correct 33 ms 22896 KB Output is correct
22 Correct 145 ms 38884 KB Output is correct
23 Correct 209 ms 46376 KB Output is correct
24 Correct 204 ms 47648 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 35288 KB Output is correct
2 Correct 85 ms 40936 KB Output is correct
3 Correct 33 ms 22892 KB Output is correct
4 Correct 32 ms 22912 KB Output is correct
5 Correct 236 ms 76108 KB Output is correct
6 Correct 348 ms 75752 KB Output is correct
7 Correct 0 ms 336 KB Output is correct
8 Correct 122 ms 42264 KB Output is correct
9 Correct 151 ms 48088 KB Output is correct
10 Correct 70 ms 35212 KB Output is correct
11 Correct 89 ms 41000 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 32 ms 22872 KB Output is correct
17 Correct 32 ms 22888 KB Output is correct
18 Correct 83 ms 39072 KB Output is correct
19 Correct 100 ms 45696 KB Output is correct
20 Correct 82 ms 37280 KB Output is correct
21 Correct 83 ms 35032 KB Output is correct
22 Correct 77 ms 37212 KB Output is correct
23 Correct 87 ms 41320 KB Output is correct
24 Correct 32 ms 23008 KB Output is correct
25 Correct 32 ms 22940 KB Output is correct
26 Correct 64 ms 23936 KB Output is correct
27 Correct 56 ms 25292 KB Output is correct
28 Correct 109 ms 28732 KB Output is correct
29 Correct 109 ms 28808 KB Output is correct
30 Correct 111 ms 28848 KB Output is correct
31 Correct 105 ms 28856 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 2 ms 468 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 468 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 468 KB Output is correct
48 Correct 24 ms 5320 KB Output is correct
49 Correct 24 ms 4824 KB Output is correct
50 Correct 22 ms 4828 KB Output is correct
51 Correct 22 ms 4308 KB Output is correct
52 Correct 22 ms 4308 KB Output is correct
53 Correct 44 ms 8272 KB Output is correct
54 Correct 6 ms 1876 KB Output is correct
55 Correct 17 ms 4384 KB Output is correct
56 Correct 1 ms 468 KB Output is correct
57 Correct 5 ms 1748 KB Output is correct
58 Correct 3 ms 1364 KB Output is correct
59 Correct 114 ms 21124 KB Output is correct
60 Correct 188 ms 34064 KB Output is correct
61 Correct 213 ms 60124 KB Output is correct
62 Correct 232 ms 59488 KB Output is correct
63 Correct 154 ms 27908 KB Output is correct
64 Correct 215 ms 60660 KB Output is correct
65 Correct 222 ms 60620 KB Output is correct
66 Correct 71 ms 17692 KB Output is correct
67 Correct 196 ms 48208 KB Output is correct
68 Correct 115 ms 38084 KB Output is correct
69 Correct 74 ms 17988 KB Output is correct
70 Correct 175 ms 35792 KB Output is correct
71 Correct 1 ms 212 KB Output is correct
72 Correct 0 ms 212 KB Output is correct
73 Correct 0 ms 212 KB Output is correct
74 Correct 0 ms 212 KB Output is correct
75 Correct 0 ms 212 KB Output is correct
76 Correct 0 ms 212 KB Output is correct
77 Correct 32 ms 23000 KB Output is correct
78 Correct 32 ms 22984 KB Output is correct
79 Correct 41 ms 22948 KB Output is correct
80 Correct 33 ms 22896 KB Output is correct
81 Correct 145 ms 38884 KB Output is correct
82 Correct 209 ms 46376 KB Output is correct
83 Correct 204 ms 47648 KB Output is correct
84 Correct 263 ms 73608 KB Output is correct
85 Correct 257 ms 75260 KB Output is correct
86 Correct 319 ms 79560 KB Output is correct
87 Correct 332 ms 82124 KB Output is correct
88 Correct 0 ms 296 KB Output is correct
89 Correct 368 ms 82144 KB Output is correct
90 Correct 253 ms 69596 KB Output is correct
91 Correct 211 ms 56048 KB Output is correct