Submission #630805

# Submission time Handle Problem Language Result Execution time Memory
630805 2022-08-17T06:45:26 Z JustInCase Catfish Farm (IOI22_fish) C++17
58 / 100
1000 ms 60036 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;
	mutable int64_t prefSum;

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

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

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], 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, 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);
}
# Verdict Execution time Memory Grader output
1 Execution timed out 1056 ms 26616 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Execution timed out 1032 ms 43896 KB Time limit exceeded
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 16 ms 15964 KB Output is correct
2 Correct 16 ms 15916 KB Output is correct
3 Correct 62 ms 25948 KB Output is correct
4 Correct 49 ms 23784 KB Output is correct
5 Correct 122 ms 37024 KB Output is correct
6 Correct 107 ms 37144 KB Output is correct
7 Correct 123 ms 37244 KB Output is correct
8 Correct 114 ms 37320 KB Output is correct
# 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 1 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 1 ms 212 KB Output is correct
7 Correct 1 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 5 ms 852 KB Output is correct
11 Correct 2 ms 468 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 468 KB Output is correct
# 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 1 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 1 ms 212 KB Output is correct
7 Correct 1 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 5 ms 852 KB Output is correct
11 Correct 2 ms 468 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 468 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 7 ms 724 KB Output is correct
17 Correct 347 ms 10628 KB Output is correct
18 Correct 450 ms 10448 KB Output is correct
19 Correct 218 ms 10456 KB Output is correct
20 Correct 232 ms 10552 KB Output is correct
21 Correct 231 ms 10440 KB Output is correct
22 Correct 999 ms 20448 KB Output is correct
23 Correct 16 ms 2260 KB Output is correct
24 Correct 111 ms 7056 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 20 ms 2132 KB Output is correct
# 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 1 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 1 ms 212 KB Output is correct
7 Correct 1 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 5 ms 852 KB Output is correct
11 Correct 2 ms 468 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 468 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 7 ms 724 KB Output is correct
17 Correct 347 ms 10628 KB Output is correct
18 Correct 450 ms 10448 KB Output is correct
19 Correct 218 ms 10456 KB Output is correct
20 Correct 232 ms 10552 KB Output is correct
21 Correct 231 ms 10440 KB Output is correct
22 Correct 999 ms 20448 KB Output is correct
23 Correct 16 ms 2260 KB Output is correct
24 Correct 111 ms 7056 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 20 ms 2132 KB Output is correct
27 Correct 4 ms 1332 KB Output is correct
28 Execution timed out 1029 ms 48128 KB Time limit exceeded
29 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 16 ms 15964 KB Output is correct
2 Correct 16 ms 15916 KB Output is correct
3 Correct 62 ms 25948 KB Output is correct
4 Correct 49 ms 23784 KB Output is correct
5 Correct 122 ms 37024 KB Output is correct
6 Correct 107 ms 37144 KB Output is correct
7 Correct 123 ms 37244 KB Output is correct
8 Correct 114 ms 37320 KB Output is correct
9 Correct 101 ms 37196 KB Output is correct
10 Correct 102 ms 29456 KB Output is correct
11 Correct 257 ms 58484 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 18 ms 15960 KB Output is correct
19 Correct 16 ms 15956 KB Output is correct
20 Correct 17 ms 15864 KB Output is correct
21 Correct 14 ms 15956 KB Output is correct
22 Correct 131 ms 37084 KB Output is correct
23 Correct 241 ms 58404 KB Output is correct
24 Correct 249 ms 60036 KB Output is correct
# Verdict Execution time Memory Grader output
1 Execution timed out 1056 ms 26616 KB Time limit exceeded
2 Halted 0 ms 0 KB -