oj.uz

Submission #758230

# Submission time Handle Problem Language Result Execution time Memory
758230 2023-06-14T09:48:04 Z amunduzbaev Catfish Farm (IOI22_fish) C++17
100 / 100
 440 ms 82180 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 86 ms 35296 KB Output is correct
2 Correct 100 ms 40936 KB Output is correct
3 Correct 43 ms 22984 KB Output is correct
4 Correct 53 ms 22984 KB Output is correct
5 Correct 291 ms 76220 KB Output is correct
6 Correct 399 ms 75636 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 146 ms 42268 KB Output is correct
3 Correct 171 ms 48024 KB Output is correct
4 Correct 88 ms 35252 KB Output is correct
5 Correct 112 ms 40932 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 0 ms 212 KB Output is correct
10 Correct 40 ms 22880 KB Output is correct
11 Correct 39 ms 22912 KB Output is correct
12 Correct 98 ms 39104 KB Output is correct
13 Correct 124 ms 45676 KB Output is correct
14 Correct 96 ms 37228 KB Output is correct
15 Correct 100 ms 34956 KB Output is correct
16 Correct 96 ms 37392 KB Output is correct
17 Correct 125 ms 41256 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 41 ms 22960 KB Output is correct
2 Correct 40 ms 22868 KB Output is correct
3 Correct 89 ms 23964 KB Output is correct
4 Correct 73 ms 25332 KB Output is correct
5 Correct 186 ms 28736 KB Output is correct
6 Correct 134 ms 28844 KB Output is correct
7 Correct 149 ms 28744 KB Output is correct
8 Correct 170 ms 29012 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 212 KB Output is correct
5 Correct 1 ms 212 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 340 KB Output is correct
10 Correct 2 ms 580 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 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 1 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 1 ms 212 KB Output is correct
5 Correct 1 ms 212 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 340 KB Output is correct
10 Correct 2 ms 580 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 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 2 ms 468 KB Output is correct
17 Correct 27 ms 5192 KB Output is correct
18 Correct 26 ms 4820 KB Output is correct
19 Correct 31 ms 4744 KB Output is correct
20 Correct 26 ms 4288 KB Output is correct
21 Correct 28 ms 4300 KB Output is correct
22 Correct 58 ms 8284 KB Output is correct
23 Correct 8 ms 1876 KB Output is correct
24 Correct 22 ms 4408 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 6 ms 1748 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 212 KB Output is correct
5 Correct 1 ms 212 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 340 KB Output is correct
10 Correct 2 ms 580 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 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 2 ms 468 KB Output is correct
17 Correct 27 ms 5192 KB Output is correct
18 Correct 26 ms 4820 KB Output is correct
19 Correct 31 ms 4744 KB Output is correct
20 Correct 26 ms 4288 KB Output is correct
21 Correct 28 ms 4300 KB Output is correct
22 Correct 58 ms 8284 KB Output is correct
23 Correct 8 ms 1876 KB Output is correct
24 Correct 22 ms 4408 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 6 ms 1748 KB Output is correct
27 Correct 4 ms 1364 KB Output is correct
28 Correct 139 ms 21080 KB Output is correct
29 Correct 219 ms 34060 KB Output is correct
30 Correct 243 ms 60084 KB Output is correct
31 Correct 278 ms 59468 KB Output is correct
32 Correct 180 ms 27888 KB Output is correct
33 Correct 251 ms 60652 KB Output is correct
34 Correct 278 ms 60644 KB Output is correct
35 Correct 84 ms 17656 KB Output is correct
36 Correct 234 ms 48228 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 41 ms 22960 KB Output is correct
2 Correct 40 ms 22868 KB Output is correct
3 Correct 89 ms 23964 KB Output is correct
4 Correct 73 ms 25332 KB Output is correct
5 Correct 186 ms 28736 KB Output is correct
6 Correct 134 ms 28844 KB Output is correct
7 Correct 149 ms 28744 KB Output is correct
8 Correct 170 ms 29012 KB Output is correct
9 Correct 156 ms 38092 KB Output is correct
10 Correct 100 ms 18068 KB Output is correct
11 Correct 278 ms 35796 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 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 39 ms 22972 KB Output is correct
19 Correct 40 ms 22904 KB Output is correct
20 Correct 46 ms 22932 KB Output is correct
21 Correct 44 ms 22916 KB Output is correct
22 Correct 182 ms 38856 KB Output is correct
23 Correct 281 ms 49912 KB Output is correct
24 Correct 290 ms 51608 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 86 ms 35296 KB Output is correct
2 Correct 100 ms 40936 KB Output is correct
3 Correct 43 ms 22984 KB Output is correct
4 Correct 53 ms 22984 KB Output is correct
5 Correct 291 ms 76220 KB Output is correct
6 Correct 399 ms 75636 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 146 ms 42268 KB Output is correct
9 Correct 171 ms 48024 KB Output is correct
10 Correct 88 ms 35252 KB Output is correct
11 Correct 112 ms 40932 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 0 ms 212 KB Output is correct
16 Correct 40 ms 22880 KB Output is correct
17 Correct 39 ms 22912 KB Output is correct
18 Correct 98 ms 39104 KB Output is correct
19 Correct 124 ms 45676 KB Output is correct
20 Correct 96 ms 37228 KB Output is correct
21 Correct 100 ms 34956 KB Output is correct
22 Correct 96 ms 37392 KB Output is correct
23 Correct 125 ms 41256 KB Output is correct
24 Correct 41 ms 22960 KB Output is correct
25 Correct 40 ms 22868 KB Output is correct
26 Correct 89 ms 23964 KB Output is correct
27 Correct 73 ms 25332 KB Output is correct
28 Correct 186 ms 28736 KB Output is correct
29 Correct 134 ms 28844 KB Output is correct
30 Correct 149 ms 28744 KB Output is correct
31 Correct 170 ms 29012 KB Output is correct
32 Correct 1 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 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 0 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 580 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 2 ms 468 KB Output is correct
44 Correct 1 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 2 ms 468 KB Output is correct
48 Correct 27 ms 5192 KB Output is correct
49 Correct 26 ms 4820 KB Output is correct
50 Correct 31 ms 4744 KB Output is correct
51 Correct 26 ms 4288 KB Output is correct
52 Correct 28 ms 4300 KB Output is correct
53 Correct 58 ms 8284 KB Output is correct
54 Correct 8 ms 1876 KB Output is correct
55 Correct 22 ms 4408 KB Output is correct
56 Correct 2 ms 468 KB Output is correct
57 Correct 6 ms 1748 KB Output is correct
58 Correct 4 ms 1364 KB Output is correct
59 Correct 139 ms 21080 KB Output is correct
60 Correct 219 ms 34060 KB Output is correct
61 Correct 243 ms 60084 KB Output is correct
62 Correct 278 ms 59468 KB Output is correct
63 Correct 180 ms 27888 KB Output is correct
64 Correct 251 ms 60652 KB Output is correct
65 Correct 278 ms 60644 KB Output is correct
66 Correct 84 ms 17656 KB Output is correct
67 Correct 234 ms 48228 KB Output is correct
68 Correct 156 ms 38092 KB Output is correct
69 Correct 100 ms 18068 KB Output is correct
70 Correct 278 ms 35796 KB Output is correct
71 Correct 0 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 1 ms 212 KB Output is correct
77 Correct 39 ms 22972 KB Output is correct
78 Correct 40 ms 22904 KB Output is correct
79 Correct 46 ms 22932 KB Output is correct
80 Correct 44 ms 22916 KB Output is correct
81 Correct 182 ms 38856 KB Output is correct
82 Correct 281 ms 49912 KB Output is correct
83 Correct 290 ms 51608 KB Output is correct
84 Correct 285 ms 73624 KB Output is correct
85 Correct 291 ms 75200 KB Output is correct
86 Correct 409 ms 79436 KB Output is correct
87 Correct 440 ms 82092 KB Output is correct
88 Correct 1 ms 304 KB Output is correct
89 Correct 405 ms 82180 KB Output is correct
90 Correct 314 ms 69604 KB Output is correct
91 Correct 252 ms 56032 KB Output is correct