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Submission #1075315

# Submission time Handle Problem Language Result Execution time Memory
1075315 2024-08-26T02:13:20 Z Gromp15 Catfish Farm (IOI22_fish) C++17
100 / 100
 242 ms 53976 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
#pragma GCC target("avx2")
#include "fish.h"
#define ll long long
#define ar array
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
using namespace std;
 
const ll INF = 1e18;
template<typename T> bool ckmin(T &a, const T &b ) { return a > b ? a = b, 1 : 0; }
template<typename T> bool ckmax(T &a, const T &b ) { return a < b ? a = b, 1 : 0; }

long long max_weights(int n, int m, std::vector<int> x, std::vector<int> y, std::vector<int> w) {
	vector<vector<ar<ll, 2>>> each(n);
	for (int i = 0; i < m; i++) {
		each[x[i]].push_back({y[i], w[i]});
		each[x[i]].push_back({y[i]-1, 0});
	}
	for (int i = 0; i < n; i++) each[i].push_back({n-1, 0}), each[i].push_back({-1, 0});
	for (int i = 0; i < n; i++) {
		sort(all(each[i]));
		vector<ar<ll, 2>> nw;
		ll s = 0;
		for (int j = 0; j < sz(each[i]); j++) {
			int r = j;
			while (r+1 < sz(each[i]) && each[i][r+1][0] == each[i][r][0]) r++;
			for (int k = j; k <= r; k++) s += each[i][k][1];
			nw.push_back({each[i][j][0], s});
			j = r;
		}
		swap(each[i], nw);
	}
	vector<ar<ll, 2>> dp;
	auto query = [&](int pos, int x) {
		return (*prev(upper_bound(all(each[pos]), ar<ll, 2>{x, LLONG_MAX})))[1];
	};
	vector<vector<ll>> l(n), r(n);
	for (int i = 0; i < n; i++) {
		l[i].resize(sz(each[i]));
		r[i].resize(sz(each[i]));
		for (int k = 0; k < sz(each[i]); k++) {
			if (i) l[i][k] = query(i - 1, each[i][k][0]);
			if (i+1 < n) r[i][k] = query(i + 1, each[i][k][0]);
		}
	}
	for (int i = 0; i < n; i++) {
		vector<ar<ll, 2>> dp2;
		const int N = sz(each[i]);
		dp2.resize(N+1, {-INF, -INF});
		if (!i) {
			dp2[0][0] = 0, dp2[N][1] = 0;
			swap(dp, dp2);
		}
		else {
			vector<ll> dp3(sz(dp)), dp4(sz(dp));
			for (int j = 0; j < sz(dp); j++) { 
				dp3[j] = max(dp[j][0] - (j ? each[i-1][j-1][1] : 0), j ? dp3[j-1] : -INF);
			}
			for (int j = sz(dp)-1; j >= 0; j--) {
				dp4[j] = max(j+1 < sz(dp) ? dp4[j+1] : -INF, dp[j][1] + (j ? r[i-1][j-1] : 0));
			}
			for (int j = 1; j <= N; j++) {
				int ans = 0;
				{
					int l = 0, r = sz(dp)-1;
					while (l <= r) {
						int mid = (l+r)/2;
						if (each[i][j-1][0] >= (mid ? each[i-1][mid-1][0] : -1)) ans = mid, l = mid+1;
						else r = mid-1;
					}
				}
				ckmax(dp2[j][j==N], max(dp3[ans] + l[i][j-1], dp[1][1]));
			}
			ckmax(dp2[0][0], dp[1][1]);
			for (int j = 1; j <= N; j++) {
				if (each[i][j-1][0] <= each[i-1][sz(dp)-2][0]) {
					int ans = sz(dp)-1;
					{
						int l = 0, r = sz(dp)-1;
						while (l <= r) {
							int mid = (l+r)/2;
							if (each[i][j-1][0] <= each[i-1][mid-1][0]) ans = mid, r = mid-1;
							else l = mid+1;
						}
					}
					ckmax(dp2[j][1], dp4[ans] - each[i][j-1][1]);
				}
			}
			swap(dp, dp2);
		}
	}
	ll ans = -INF;
	for (auto [x, y] : dp) ckmax(ans, x), ckmax(ans, y);
	return ans;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 24028 KB Output is correct
2 Correct 113 ms 26964 KB Output is correct
3 Correct 43 ms 18444 KB Output is correct
4 Correct 32 ms 18260 KB Output is correct
5 Correct 156 ms 39312 KB Output is correct
6 Correct 159 ms 47952 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 129 ms 30024 KB Output is correct
3 Correct 139 ms 37400 KB Output is correct
4 Correct 67 ms 25520 KB Output is correct
5 Correct 80 ms 28792 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 436 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 35 ms 18408 KB Output is correct
11 Correct 33 ms 18212 KB Output is correct
12 Correct 86 ms 25428 KB Output is correct
13 Correct 76 ms 28548 KB Output is correct
14 Correct 69 ms 24716 KB Output is correct
15 Correct 105 ms 27472 KB Output is correct
16 Correct 75 ms 24840 KB Output is correct
17 Correct 70 ms 27316 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 18428 KB Output is correct
2 Correct 38 ms 18280 KB Output is correct
3 Correct 51 ms 19576 KB Output is correct
4 Correct 49 ms 20380 KB Output is correct
5 Correct 90 ms 24032 KB Output is correct
6 Correct 69 ms 23892 KB Output is correct
7 Correct 78 ms 24140 KB Output is correct
8 Correct 98 ms 23892 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 2 ms 604 KB Output is correct
17 Correct 19 ms 3816 KB Output is correct
18 Correct 18 ms 4184 KB Output is correct
19 Correct 16 ms 4188 KB Output is correct
20 Correct 18 ms 4188 KB Output is correct
21 Correct 24 ms 4188 KB Output is correct
22 Correct 35 ms 7736 KB Output is correct
23 Correct 7 ms 1372 KB Output is correct
24 Correct 15 ms 3084 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 5 ms 1116 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 2 ms 604 KB Output is correct
17 Correct 19 ms 3816 KB Output is correct
18 Correct 18 ms 4184 KB Output is correct
19 Correct 16 ms 4188 KB Output is correct
20 Correct 18 ms 4188 KB Output is correct
21 Correct 24 ms 4188 KB Output is correct
22 Correct 35 ms 7736 KB Output is correct
23 Correct 7 ms 1372 KB Output is correct
24 Correct 15 ms 3084 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 5 ms 1116 KB Output is correct
27 Correct 2 ms 1112 KB Output is correct
28 Correct 108 ms 17736 KB Output is correct
29 Correct 170 ms 21936 KB Output is correct
30 Correct 199 ms 34724 KB Output is correct
31 Correct 160 ms 34644 KB Output is correct
32 Correct 123 ms 30800 KB Output is correct
33 Correct 159 ms 34796 KB Output is correct
34 Correct 166 ms 34900 KB Output is correct
35 Correct 56 ms 13392 KB Output is correct
36 Correct 179 ms 31824 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 18428 KB Output is correct
2 Correct 38 ms 18280 KB Output is correct
3 Correct 51 ms 19576 KB Output is correct
4 Correct 49 ms 20380 KB Output is correct
5 Correct 90 ms 24032 KB Output is correct
6 Correct 69 ms 23892 KB Output is correct
7 Correct 78 ms 24140 KB Output is correct
8 Correct 98 ms 23892 KB Output is correct
9 Correct 77 ms 27216 KB Output is correct
10 Correct 58 ms 14852 KB Output is correct
11 Correct 129 ms 29520 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 31 ms 18268 KB Output is correct
19 Correct 34 ms 18268 KB Output is correct
20 Correct 33 ms 18264 KB Output is correct
21 Correct 32 ms 18360 KB Output is correct
22 Correct 83 ms 27984 KB Output is correct
23 Correct 135 ms 35412 KB Output is correct
24 Correct 129 ms 35792 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 24028 KB Output is correct
2 Correct 113 ms 26964 KB Output is correct
3 Correct 43 ms 18444 KB Output is correct
4 Correct 32 ms 18260 KB Output is correct
5 Correct 156 ms 39312 KB Output is correct
6 Correct 159 ms 47952 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 129 ms 30024 KB Output is correct
9 Correct 139 ms 37400 KB Output is correct
10 Correct 67 ms 25520 KB Output is correct
11 Correct 80 ms 28792 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 436 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 35 ms 18408 KB Output is correct
17 Correct 33 ms 18212 KB Output is correct
18 Correct 86 ms 25428 KB Output is correct
19 Correct 76 ms 28548 KB Output is correct
20 Correct 69 ms 24716 KB Output is correct
21 Correct 105 ms 27472 KB Output is correct
22 Correct 75 ms 24840 KB Output is correct
23 Correct 70 ms 27316 KB Output is correct
24 Correct 54 ms 18428 KB Output is correct
25 Correct 38 ms 18280 KB Output is correct
26 Correct 51 ms 19576 KB Output is correct
27 Correct 49 ms 20380 KB Output is correct
28 Correct 90 ms 24032 KB Output is correct
29 Correct 69 ms 23892 KB Output is correct
30 Correct 78 ms 24140 KB Output is correct
31 Correct 98 ms 23892 KB Output is correct
32 Correct 0 ms 344 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 344 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 344 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 344 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 1 ms 344 KB Output is correct
47 Correct 2 ms 604 KB Output is correct
48 Correct 19 ms 3816 KB Output is correct
49 Correct 18 ms 4184 KB Output is correct
50 Correct 16 ms 4188 KB Output is correct
51 Correct 18 ms 4188 KB Output is correct
52 Correct 24 ms 4188 KB Output is correct
53 Correct 35 ms 7736 KB Output is correct
54 Correct 7 ms 1372 KB Output is correct
55 Correct 15 ms 3084 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 5 ms 1116 KB Output is correct
58 Correct 2 ms 1112 KB Output is correct
59 Correct 108 ms 17736 KB Output is correct
60 Correct 170 ms 21936 KB Output is correct
61 Correct 199 ms 34724 KB Output is correct
62 Correct 160 ms 34644 KB Output is correct
63 Correct 123 ms 30800 KB Output is correct
64 Correct 159 ms 34796 KB Output is correct
65 Correct 166 ms 34900 KB Output is correct
66 Correct 56 ms 13392 KB Output is correct
67 Correct 179 ms 31824 KB Output is correct
68 Correct 77 ms 27216 KB Output is correct
69 Correct 58 ms 14852 KB Output is correct
70 Correct 129 ms 29520 KB Output is correct
71 Correct 1 ms 344 KB Output is correct
72 Correct 1 ms 348 KB Output is correct
73 Correct 1 ms 348 KB Output is correct
74 Correct 0 ms 348 KB Output is correct
75 Correct 0 ms 348 KB Output is correct
76 Correct 0 ms 348 KB Output is correct
77 Correct 31 ms 18268 KB Output is correct
78 Correct 34 ms 18268 KB Output is correct
79 Correct 33 ms 18264 KB Output is correct
80 Correct 32 ms 18360 KB Output is correct
81 Correct 83 ms 27984 KB Output is correct
82 Correct 135 ms 35412 KB Output is correct
83 Correct 129 ms 35792 KB Output is correct
84 Correct 220 ms 48232 KB Output is correct
85 Correct 242 ms 49780 KB Output is correct
86 Correct 188 ms 51832 KB Output is correct
87 Correct 194 ms 53976 KB Output is correct
88 Correct 1 ms 348 KB Output is correct
89 Correct 194 ms 53860 KB Output is correct
90 Correct 177 ms 49748 KB Output is correct
91 Correct 164 ms 44368 KB Output is correct