oj.uz

Submission #630807

# Submission time Handle Problem Language Result Execution time Memory
630807 2022-08-17T06:54:01 Z JustInCase Catfish Farm (IOI22_fish) C++17
100 / 100
 809 ms 81872 KB 
#include <iostream>
#include <string>
#include <vector>
#include <queue>
#include <stack>
#include <array>
#include <algorithm>
#include <numeric>
#include <map>
#include <unordered_map>
#include <set>
#include <cstring>
#include <cmath>
#include <iomanip>
#include <cassert>
#include <random>
#include <cstdlib>

#define debug(x) std::cout << #x << " " << (x) << '\n';
#define pb push_back
#define mp std::make_pair
#define remax(a, b) a = std::max((a), (b));
#define remin(a, b) a = std::min((a), (b));

#define maxWeights max_weights

const int32_t MAX_N = 1e5;

struct Catfish {
	int32_t row;
	int32_t id;
	mutable int64_t prefSum;

	Catfish(int32_t _row, int32_t _id, int32_t w): row(_row), id(_id), prefSum((int64_t) w) {}

	bool operator< (const Catfish &other) const {
		if(row != other.row) {
			return row <= other.row;
		}
		else {
			return id <= other.id;
		}
	}
};

struct DpState {
	int32_t row;
	mutable int64_t incrVal, decrVal;

	DpState(int32_t _row): row(_row), incrVal(0), decrVal(0) {}

	bool operator< (const DpState &other) const {
		return row <= other.row;
	}
};

int64_t maxWeights(int32_t n, int32_t m, std::vector<int32_t> x, std::vector<int32_t> y,
                      std::vector<int32_t> w) {
	std::vector<std::set<Catfish>> catfishByColumn(n);

	for(int32_t i = 0; i < m; i++) {
		catfishByColumn[x[i]].insert(Catfish(y[i], i, w[i]));
	}

	for(int32_t i = 0; i < n; i++) {
		int64_t total = 0;
		for(auto &x : catfishByColumn[i]) {
			total += (int64_t) x.prefSum;
			x.prefSum = total;
		}
	}

	std::vector<std::set<DpState>> dp(n + 1);
	for(int32_t i = 0; i <= n; i++) {
		if(i > 0 && i != n) {
			for(auto &x : catfishByColumn[i - 1]) {
				dp[i].insert(DpState(x.row + 1));
			}
		}
		if(i < n - 1) {
			for(auto &x : catfishByColumn[i + 1]) {
				dp[i].insert(DpState(x.row + 1));
			}
		}

		dp[i].insert(DpState(0));
	}

	auto getWPrefSum = [&](int32_t column, int32_t row) -> int64_t {
		if(column >= n) {
			return 0;
		}

		auto p = catfishByColumn[column].lower_bound(Catfish(row, -1, 0));
		if(p == catfishByColumn[column].begin()) {
			return 0;
		}

		p--;
		return p->prefSum;

		/**
		for(auto it = catfishByColumn[column].rbegin(); it != catfishByColumn[column].rend(); it++) {
			if(it->row < row) {
				return it->prefSum;	
			}
		}

		return 0;
		*/
	};

	for(int32_t i = 1; i <= n; i++) {
		{ // compute incrVal
			auto prevIt = dp[i - 1].begin();
			int64_t pref = 0;
			for(auto it = dp[i].begin(); it != dp[i].end(); it++) {
				while(prevIt != dp[i - 1].end() && prevIt->row <= it->row) {
					remax(pref, prevIt->incrVal - getWPrefSum(i - 1, prevIt->row));
					prevIt++;
				}

				it->incrVal = std::max(pref + getWPrefSum(i - 1, it->row), dp[i - 1].begin()->decrVal);
			}
		}

		{ // compute decrVal
			auto prevIt = dp[i - 1].rbegin();
			int64_t suff = 0;
			for(auto it = dp[i].rbegin(); it != dp[i].rend(); it++) {
				while(prevIt != dp[i - 1].rend() && prevIt->row >= it->row) {
					remax(suff, std::max(prevIt->incrVal, prevIt->decrVal) + getWPrefSum(i, prevIt->row));
					prevIt++;
				}

				it->decrVal = suff - getWPrefSum(i, it->row);
			}
		}
	}

	/**
	for(int32_t i = 0; i <= n; i++) {
		std::cout << i << ": ";
		for(auto &x : dp[i]) {
			std::cout << "{ " << x.row << ", " << x.incrVal << ", " << x.decrVal << " }, ";
		}
		std::cout << '\n';
	}
	*/

	return std::max(dp.back().begin()->incrVal, dp.back().begin()->decrVal);
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 116 ms 26316 KB Output is correct
2 Correct 150 ms 31144 KB Output is correct
3 Correct 15 ms 15956 KB Output is correct
4 Correct 14 ms 15892 KB Output is correct
5 Correct 683 ms 79860 KB Output is correct
6 Correct 455 ms 79736 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 300 ms 43624 KB Output is correct
3 Correct 401 ms 52360 KB Output is correct
4 Correct 105 ms 26828 KB Output is correct
5 Correct 138 ms 31140 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 19 ms 15956 KB Output is correct
11 Correct 15 ms 15956 KB Output is correct
12 Correct 154 ms 32032 KB Output is correct
13 Correct 182 ms 37356 KB Output is correct
14 Correct 157 ms 29448 KB Output is correct
15 Correct 157 ms 32608 KB Output is correct
16 Correct 126 ms 29272 KB Output is correct
17 Correct 159 ms 32460 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 15956 KB Output is correct
2 Correct 16 ms 15956 KB Output is correct
3 Correct 57 ms 25580 KB Output is correct
4 Correct 42 ms 23500 KB Output is correct
5 Correct 101 ms 37052 KB Output is correct
6 Correct 99 ms 37064 KB Output is correct
7 Correct 103 ms 37076 KB Output is correct
8 Correct 101 ms 36964 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 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 724 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 2 ms 596 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 468 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 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 724 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 2 ms 596 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 412 KB Output is correct
16 Correct 4 ms 764 KB Output is correct
17 Correct 78 ms 9980 KB Output is correct
18 Correct 65 ms 9824 KB Output is correct
19 Correct 58 ms 9824 KB Output is correct
20 Correct 60 ms 9836 KB Output is correct
21 Correct 72 ms 9824 KB Output is correct
22 Correct 134 ms 19272 KB Output is correct
23 Correct 12 ms 2240 KB Output is correct
24 Correct 42 ms 6532 KB Output is correct
25 Correct 1 ms 596 KB Output is correct
26 Correct 11 ms 2004 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 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 724 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 2 ms 596 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 412 KB Output is correct
16 Correct 4 ms 764 KB Output is correct
17 Correct 78 ms 9980 KB Output is correct
18 Correct 65 ms 9824 KB Output is correct
19 Correct 58 ms 9824 KB Output is correct
20 Correct 60 ms 9836 KB Output is correct
21 Correct 72 ms 9824 KB Output is correct
22 Correct 134 ms 19272 KB Output is correct
23 Correct 12 ms 2240 KB Output is correct
24 Correct 42 ms 6532 KB Output is correct
25 Correct 1 ms 596 KB Output is correct
26 Correct 11 ms 2004 KB Output is correct
27 Correct 3 ms 1364 KB Output is correct
28 Correct 429 ms 46000 KB Output is correct
29 Correct 660 ms 67244 KB Output is correct
30 Correct 619 ms 67232 KB Output is correct
31 Correct 615 ms 67448 KB Output is correct
32 Correct 617 ms 66072 KB Output is correct
33 Correct 605 ms 67236 KB Output is correct
34 Correct 620 ms 66668 KB Output is correct
35 Correct 192 ms 26284 KB Output is correct
36 Correct 651 ms 66300 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 15956 KB Output is correct
2 Correct 16 ms 15956 KB Output is correct
3 Correct 57 ms 25580 KB Output is correct
4 Correct 42 ms 23500 KB Output is correct
5 Correct 101 ms 37052 KB Output is correct
6 Correct 99 ms 37064 KB Output is correct
7 Correct 103 ms 37076 KB Output is correct
8 Correct 101 ms 36964 KB Output is correct
9 Correct 102 ms 37092 KB Output is correct
10 Correct 121 ms 29260 KB Output is correct
11 Correct 241 ms 58204 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 15 ms 15956 KB Output is correct
19 Correct 14 ms 15956 KB Output is correct
20 Correct 15 ms 15956 KB Output is correct
21 Correct 15 ms 15828 KB Output is correct
22 Correct 129 ms 37020 KB Output is correct
23 Correct 246 ms 58212 KB Output is correct
24 Correct 230 ms 58228 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 116 ms 26316 KB Output is correct
2 Correct 150 ms 31144 KB Output is correct
3 Correct 15 ms 15956 KB Output is correct
4 Correct 14 ms 15892 KB Output is correct
5 Correct 683 ms 79860 KB Output is correct
6 Correct 455 ms 79736 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 300 ms 43624 KB Output is correct
9 Correct 401 ms 52360 KB Output is correct
10 Correct 105 ms 26828 KB Output is correct
11 Correct 138 ms 31140 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 19 ms 15956 KB Output is correct
17 Correct 15 ms 15956 KB Output is correct
18 Correct 154 ms 32032 KB Output is correct
19 Correct 182 ms 37356 KB Output is correct
20 Correct 157 ms 29448 KB Output is correct
21 Correct 157 ms 32608 KB Output is correct
22 Correct 126 ms 29272 KB Output is correct
23 Correct 159 ms 32460 KB Output is correct
24 Correct 15 ms 15956 KB Output is correct
25 Correct 16 ms 15956 KB Output is correct
26 Correct 57 ms 25580 KB Output is correct
27 Correct 42 ms 23500 KB Output is correct
28 Correct 101 ms 37052 KB Output is correct
29 Correct 99 ms 37064 KB Output is correct
30 Correct 103 ms 37076 KB Output is correct
31 Correct 101 ms 36964 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 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 724 KB Output is correct
42 Correct 1 ms 468 KB Output is correct
43 Correct 2 ms 596 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 412 KB Output is correct
47 Correct 4 ms 764 KB Output is correct
48 Correct 78 ms 9980 KB Output is correct
49 Correct 65 ms 9824 KB Output is correct
50 Correct 58 ms 9824 KB Output is correct
51 Correct 60 ms 9836 KB Output is correct
52 Correct 72 ms 9824 KB Output is correct
53 Correct 134 ms 19272 KB Output is correct
54 Correct 12 ms 2240 KB Output is correct
55 Correct 42 ms 6532 KB Output is correct
56 Correct 1 ms 596 KB Output is correct
57 Correct 11 ms 2004 KB Output is correct
58 Correct 3 ms 1364 KB Output is correct
59 Correct 429 ms 46000 KB Output is correct
60 Correct 660 ms 67244 KB Output is correct
61 Correct 619 ms 67232 KB Output is correct
62 Correct 615 ms 67448 KB Output is correct
63 Correct 617 ms 66072 KB Output is correct
64 Correct 605 ms 67236 KB Output is correct
65 Correct 620 ms 66668 KB Output is correct
66 Correct 192 ms 26284 KB Output is correct
67 Correct 651 ms 66300 KB Output is correct
68 Correct 102 ms 37092 KB Output is correct
69 Correct 121 ms 29260 KB Output is correct
70 Correct 241 ms 58204 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 15 ms 15956 KB Output is correct
78 Correct 14 ms 15956 KB Output is correct
79 Correct 15 ms 15956 KB Output is correct
80 Correct 15 ms 15828 KB Output is correct
81 Correct 129 ms 37020 KB Output is correct
82 Correct 246 ms 58212 KB Output is correct
83 Correct 230 ms 58228 KB Output is correct
84 Correct 809 ms 80384 KB Output is correct
85 Correct 773 ms 81872 KB Output is correct
86 Correct 456 ms 78252 KB Output is correct
87 Correct 480 ms 79836 KB Output is correct
88 Correct 0 ms 212 KB Output is correct
89 Correct 458 ms 80584 KB Output is correct
90 Correct 540 ms 79616 KB Output is correct
91 Correct 553 ms 79732 KB Output is correct