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Submission #833381

# Submission time Handle Problem Language Result Execution time Memory
833381 2023-08-22T05:11:14 Z pavement Catfish Farm (IOI22_fish) C++17
100 / 100
 163 ms 55552 KB 
#include "fish.h"
#include <bits/stdc++.h>
using namespace std;

#define eb emplace_back
#define mp make_pair

using ll = long long;
using ii = pair<int, int>;

ll max_weights(int N, int M, vector<int> X, vector<int> Y, vector<int> W) {
	auto tmp = vector<ll>(N + M), tmp2 = vector<ll>(N + M);
	auto dp = vector<vector<ll> >(N + M, vector<ll>(4, 0));
	auto col = vector<vector<ii> >(N);
	for (int i = 0; i < M; i++) {
		col[X[i]].eb(Y[i], i);
	}
	for (int i = 0; i < N; i++) {
		sort(col[i].begin(), col[i].end());
	}
	for (int i = 0; i <= N; i++) {
		{
			// ty == 0
			if (i > 0) {
				dp[i][0] = max({0ll, dp[i - 1][0], dp[i - 1][1]});
			} else {
				dp[i][0] = 0;
			}
			if (i && !col[i - 1].empty()) {
				dp[i][0] = max(dp[i][0], dp[col[i - 1][0].second][2]);
			}
		}
		{
			// ty == 1
			if (i > 0) {
				dp[i][1] = max({0ll, dp[i - 1][0], dp[i - 1][1]});
			} else {
				dp[i][1] = 0;
			}
			if (i && !col[i - 1].empty()) {
				dp[i][1] = max(dp[i][1], dp[col[i - 1][0].second][2]);
				dp[i][1] = max(dp[i][1], dp[col[i - 1].back().second][3]);
			}
		}
		if (i < N) {
			// ty == 2
			{
				ll sum_all = 0;
				for (int _ = (int)col[i].size() - 1; _ >= 0; _--) {
					int p = col[i][_].second, x = X[p];
					sum_all += W[p];
					if (x - 1 >= 0) {
						dp[p][2] = max(dp[p][2], dp[x - 1][1] + sum_all);
					}
				}
				if (i && !col[i - 1].empty()) {
					int ptr = 0;
					ll pf_sum = 0;
					for (int _ = 0; _ < (int)col[i - 1].size(); _++) {
						while (ptr < (int)col[i].size() && col[i - 1][_].first > col[i][ptr].first) {
							pf_sum += W[col[i][ptr].second];
							ptr++;
						}
						tmp[_] = pf_sum;
					}
					pf_sum = 0;
					for (int _ = 0; _ < (int)col[i].size(); _++) {
						tmp2[_] = pf_sum;
						pf_sum += W[col[i][_].second];
					}
					ptr = (int)col[i - 1].size() - 1;
					ll rs = -(ll)1e16;
					for (int _ = (int)col[i].size() - 1; _ >= 0; _--) {
						while (ptr >= 0 && col[i - 1][ptr].first > col[i][_].first) {
							rs = max(rs, dp[col[i - 1][ptr].second][2] + tmp[ptr]);
							ptr--;
						}
						dp[col[i][_].second][2] = max(dp[col[i][_].second][2], rs - tmp2[_]);
					}
				}
			}
			// ty == 3
			{
				ll sum_all = 0;
				for (int _ = 0; _ < (int)col[i].size(); _++) {
					int p = col[i][_].second, x = X[p];
					sum_all += W[p];
					dp[p][3] = max(dp[p][3], dp[x][0] + sum_all);
				}
				if (i && !col[i - 1].empty()) {
					int ptr = (int)col[i].size() - 1;
					ll pf_sum = 0;
					for (int _ = (int)col[i - 1].size() - 1; _ >= 0; _--) {
						while (ptr >= 0 && col[i - 1][_].first < col[i][ptr].first) {
							pf_sum += W[col[i][ptr].second];
							ptr--;
						}
						tmp[_] = pf_sum;
					}
					pf_sum = 0;
					for (int _ = (int)col[i].size() - 1; _ >= 0; _--) {
						tmp2[_] = pf_sum;
						pf_sum += W[col[i][_].second];
					}
					ptr = 0;
					ll rs = -(ll)1e16;
					for (int _ = 0; _ < (int)col[i].size(); _++) {
						while (ptr < (int)col[i - 1].size() && col[i - 1][ptr].first < col[i][_].first) {
							rs = max(rs, dp[col[i - 1][ptr].second][3] + tmp[ptr]);
							ptr++;
						}
						dp[col[i][_].second][3] = max(dp[col[i][_].second][3], rs - tmp2[_]);
					}
				}
			}
		}
	}
	return dp[N][0];
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 20052 KB Output is correct
2 Correct 46 ms 23372 KB Output is correct
3 Correct 8 ms 11220 KB Output is correct
4 Correct 8 ms 11220 KB Output is correct
5 Correct 132 ms 46664 KB Output is correct
6 Correct 135 ms 48512 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 76 ms 29484 KB Output is correct
3 Correct 95 ms 34900 KB Output is correct
4 Correct 38 ms 20180 KB Output is correct
5 Correct 46 ms 23364 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 8 ms 11220 KB Output is correct
11 Correct 8 ms 11220 KB Output is correct
12 Correct 37 ms 20172 KB Output is correct
13 Correct 52 ms 23364 KB Output is correct
14 Correct 41 ms 20048 KB Output is correct
15 Correct 44 ms 22092 KB Output is correct
16 Correct 40 ms 20048 KB Output is correct
17 Correct 45 ms 22084 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 11220 KB Output is correct
2 Correct 8 ms 11220 KB Output is correct
3 Correct 31 ms 17620 KB Output is correct
4 Correct 24 ms 16464 KB Output is correct
5 Correct 58 ms 25300 KB Output is correct
6 Correct 62 ms 25272 KB Output is correct
7 Correct 56 ms 25292 KB Output is correct
8 Correct 56 ms 25284 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 0 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 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 596 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 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 0 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 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 596 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 16 ms 5716 KB Output is correct
18 Correct 15 ms 5972 KB Output is correct
19 Correct 15 ms 5972 KB Output is correct
20 Correct 15 ms 5972 KB Output is correct
21 Correct 15 ms 5952 KB Output is correct
22 Correct 33 ms 11604 KB Output is correct
23 Correct 4 ms 1364 KB Output is correct
24 Correct 11 ms 3924 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 3 ms 1364 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 0 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 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 596 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 16 ms 5716 KB Output is correct
18 Correct 15 ms 5972 KB Output is correct
19 Correct 15 ms 5972 KB Output is correct
20 Correct 15 ms 5972 KB Output is correct
21 Correct 15 ms 5952 KB Output is correct
22 Correct 33 ms 11604 KB Output is correct
23 Correct 4 ms 1364 KB Output is correct
24 Correct 11 ms 3924 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 3 ms 1364 KB Output is correct
27 Correct 2 ms 980 KB Output is correct
28 Correct 84 ms 27340 KB Output is correct
29 Correct 130 ms 42800 KB Output is correct
30 Correct 123 ms 42404 KB Output is correct
31 Correct 120 ms 42492 KB Output is correct
32 Correct 120 ms 43212 KB Output is correct
33 Correct 124 ms 42460 KB Output is correct
34 Correct 122 ms 42456 KB Output is correct
35 Correct 44 ms 16848 KB Output is correct
36 Correct 121 ms 43336 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 11220 KB Output is correct
2 Correct 8 ms 11220 KB Output is correct
3 Correct 31 ms 17620 KB Output is correct
4 Correct 24 ms 16464 KB Output is correct
5 Correct 58 ms 25300 KB Output is correct
6 Correct 62 ms 25272 KB Output is correct
7 Correct 56 ms 25292 KB Output is correct
8 Correct 56 ms 25284 KB Output is correct
9 Correct 61 ms 25292 KB Output is correct
10 Correct 46 ms 18252 KB Output is correct
11 Correct 107 ms 36300 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 0 ms 212 KB Output is correct
18 Correct 8 ms 11220 KB Output is correct
19 Correct 8 ms 11148 KB Output is correct
20 Correct 8 ms 11220 KB Output is correct
21 Correct 8 ms 11220 KB Output is correct
22 Correct 53 ms 24268 KB Output is correct
23 Correct 104 ms 36300 KB Output is correct
24 Correct 106 ms 36276 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 20052 KB Output is correct
2 Correct 46 ms 23372 KB Output is correct
3 Correct 8 ms 11220 KB Output is correct
4 Correct 8 ms 11220 KB Output is correct
5 Correct 132 ms 46664 KB Output is correct
6 Correct 135 ms 48512 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 76 ms 29484 KB Output is correct
9 Correct 95 ms 34900 KB Output is correct
10 Correct 38 ms 20180 KB Output is correct
11 Correct 46 ms 23364 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 8 ms 11220 KB Output is correct
17 Correct 8 ms 11220 KB Output is correct
18 Correct 37 ms 20172 KB Output is correct
19 Correct 52 ms 23364 KB Output is correct
20 Correct 41 ms 20048 KB Output is correct
21 Correct 44 ms 22092 KB Output is correct
22 Correct 40 ms 20048 KB Output is correct
23 Correct 45 ms 22084 KB Output is correct
24 Correct 8 ms 11220 KB Output is correct
25 Correct 8 ms 11220 KB Output is correct
26 Correct 31 ms 17620 KB Output is correct
27 Correct 24 ms 16464 KB Output is correct
28 Correct 58 ms 25300 KB Output is correct
29 Correct 62 ms 25272 KB Output is correct
30 Correct 56 ms 25292 KB Output is correct
31 Correct 56 ms 25284 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 0 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 1 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 596 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 16 ms 5716 KB Output is correct
49 Correct 15 ms 5972 KB Output is correct
50 Correct 15 ms 5972 KB Output is correct
51 Correct 15 ms 5972 KB Output is correct
52 Correct 15 ms 5952 KB Output is correct
53 Correct 33 ms 11604 KB Output is correct
54 Correct 4 ms 1364 KB Output is correct
55 Correct 11 ms 3924 KB Output is correct
56 Correct 1 ms 468 KB Output is correct
57 Correct 3 ms 1364 KB Output is correct
58 Correct 2 ms 980 KB Output is correct
59 Correct 84 ms 27340 KB Output is correct
60 Correct 130 ms 42800 KB Output is correct
61 Correct 123 ms 42404 KB Output is correct
62 Correct 120 ms 42492 KB Output is correct
63 Correct 120 ms 43212 KB Output is correct
64 Correct 124 ms 42460 KB Output is correct
65 Correct 122 ms 42456 KB Output is correct
66 Correct 44 ms 16848 KB Output is correct
67 Correct 121 ms 43336 KB Output is correct
68 Correct 61 ms 25292 KB Output is correct
69 Correct 46 ms 18252 KB Output is correct
70 Correct 107 ms 36300 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 0 ms 212 KB Output is correct
77 Correct 8 ms 11220 KB Output is correct
78 Correct 8 ms 11148 KB Output is correct
79 Correct 8 ms 11220 KB Output is correct
80 Correct 8 ms 11220 KB Output is correct
81 Correct 53 ms 24268 KB Output is correct
82 Correct 104 ms 36300 KB Output is correct
83 Correct 106 ms 36276 KB Output is correct
84 Correct 141 ms 52044 KB Output is correct
85 Correct 158 ms 52464 KB Output is correct
86 Correct 161 ms 53844 KB Output is correct
87 Correct 161 ms 55404 KB Output is correct
88 Correct 1 ms 212 KB Output is correct
89 Correct 163 ms 55552 KB Output is correct
90 Correct 141 ms 53852 KB Output is correct
91 Correct 130 ms 53452 KB Output is correct