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답안 #1093565

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1093565 2024-09-27T03:47:39 Z Tozzyyyy Toll (BOI17_toll) C++14
100 / 100
 138 ms 75008 KB 
#pragma GCC optimize("Ofast,unroll-loops")
//#pragma GCC target("avx2,fma,bmi,bmi2,sse4.2")
#include<bits/stdc++.h>
#define all(x) (x).begin() , (x).end()
#define pll pair<long long, long long>
#define fi first 
#define se second 
#define bit(i,j) ((j >> i) & 1) 
#define lowbit(x) (x & (-x))
#define sigma main
using namespace std;

const long long inf = 1e9+1; 
const int mod = 998244353; 
const int MAXN = 5e4+100;

struct Matrix{
	vector<vector<int>> d;
	void init(int n , int m , int v){
		d.resize(n , vector<int>(m , v));
	}
};
Matrix operator* (const Matrix &a , const Matrix &b){
	Matrix c;
	c.init(a.d.size() , b.d[0].size() , inf);
	for(int i = 0 ; i < a.d.size() ; i++){
		for(int k = 0 ; k < a.d[0].size() ; k++){
			for(int j = 0 ; j < b.d[0].size() ; j++){
				c.d[i][j] = min(c.d[i][j] , a.d[i][k] + b.d[k][j]);
			}
		}
	}
	return c;
}
Matrix M[MAXN];
Matrix Sum[MAXN][17];
int up[MAXN][17];
int32_t sigma(){
  	//freopen("COLOREDBALLS.inp", "r", stdin);
	//freopen("COLOREDBALLS.out", "w", stdout);
	ios_base::sync_with_stdio(0); cin.tie(0);

	int k , n , m , o; cin >> k >> n >> m >> o;

	int sum = n / k;
	
	for(int i = 0 ; i <= sum + 1 ; i++) M[i].init(k , k , inf);
	for(int i = 1 ; i <= m ; i++){
		int a , b , t; cin >> a >> b >> t;
		M[a/k].d[a%k][b%k] = t;
	}

	for(int i = 0 ; i < k ; i++) M[sum + 1].d[i][i] = 0;

	for(int i = 0 ; i <= sum ; i++) up[i][0] = i + 1 , Sum[i][0] = M[i];
	up[sum + 1][0] = sum + 1;
	for(int j = 1 ; j < 17 ; j++){
		for(int i = 0 ; i + (1 << j) - 1 <= sum ; i++){
			up[i][j] = up[up[i][j-1]][j-1];
			Sum[i][j] = Sum[i][j-1] * Sum[up[i][j-1]][j-1];
		}
	}
	while(o--){
		int a , b; cin >> a >> b;
		int s = a/k , t = b/k;
		if(a > b){
			cout << -1 << "\n"; continue;
		}

		Matrix T; 
		T.init(1 , k , inf);
		T.d[0][a % k] = 0;
		int D = t - s , pos = s;
		for(int j = 16 ; j >= 0 ; j--){
			if(bit(j , D)) T = T * Sum[pos][j] , pos = up[pos][j];
		}
		cout << (T.d[0][b % k] >= inf ? -1 : T.d[0][b % k]) << "\n";
	}

	return 0;
}

Compilation message

toll.cpp: In function 'Matrix operator*(const Matrix&, const Matrix&)':
toll.cpp:26:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 |  for(int i = 0 ; i < a.d.size() ; i++){
      |                  ~~^~~~~~~~~~~~
toll.cpp:27:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   27 |   for(int k = 0 ; k < a.d[0].size() ; k++){
      |                   ~~^~~~~~~~~~~~~~~
toll.cpp:28:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   28 |    for(int j = 0 ; j < b.d[0].size() ; j++){
      |                    ~~^~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 124 ms 74852 KB Output is correct
2 Correct 11 ms 21608 KB Output is correct
3 Correct 12 ms 21652 KB Output is correct
4 Correct 12 ms 21608 KB Output is correct
5 Correct 12 ms 22176 KB Output is correct
6 Correct 17 ms 22120 KB Output is correct
7 Correct 14 ms 22120 KB Output is correct
8 Correct 124 ms 75008 KB Output is correct
9 Correct 122 ms 74988 KB Output is correct
10 Correct 116 ms 74148 KB Output is correct

Subtask #2
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 114 ms 70240 KB Output is correct
2 Correct 12 ms 21608 KB Output is correct
3 Correct 12 ms 21476 KB Output is correct
4 Correct 12 ms 21480 KB Output is correct
5 Correct 12 ms 21608 KB Output is correct
6 Correct 11 ms 21608 KB Output is correct
7 Correct 17 ms 22376 KB Output is correct
8 Correct 17 ms 22376 KB Output is correct
9 Correct 115 ms 74932 KB Output is correct
10 Correct 138 ms 65376 KB Output is correct
11 Correct 109 ms 71008 KB Output is correct
12 Correct 121 ms 64096 KB Output is correct
13 Correct 75 ms 45580 KB Output is correct
14 Correct 73 ms 46732 KB Output is correct
15 Correct 72 ms 44588 KB Output is correct
16 Correct 66 ms 44372 KB Output is correct

Subtask #3
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 12 ms 21592 KB Output is correct
2 Correct 11 ms 21596 KB Output is correct
3 Correct 11 ms 21640 KB Output is correct
4 Correct 11 ms 21596 KB Output is correct
5 Correct 11 ms 21640 KB Output is correct
6 Correct 15 ms 22108 KB Output is correct
7 Correct 14 ms 22024 KB Output is correct
8 Correct 14 ms 22108 KB Output is correct
9 Correct 13 ms 22104 KB Output is correct
10 Correct 100 ms 74796 KB Output is correct
11 Correct 90 ms 70640 KB Output is correct
12 Correct 114 ms 65104 KB Output is correct
13 Correct 119 ms 65364 KB Output is correct
14 Correct 102 ms 64668 KB Output is correct
15 Correct 57 ms 44424 KB Output is correct
16 Correct 58 ms 44368 KB Output is correct

Subtask #4
31.0 / 31.0

# 결과 실행 시간 메모리 Grader output
1 Correct 12 ms 21592 KB Output is correct
2 Correct 11 ms 21596 KB Output is correct
3 Correct 11 ms 21640 KB Output is correct
4 Correct 11 ms 21596 KB Output is correct
5 Correct 11 ms 21640 KB Output is correct
6 Correct 15 ms 22108 KB Output is correct
7 Correct 14 ms 22024 KB Output is correct
8 Correct 14 ms 22108 KB Output is correct
9 Correct 13 ms 22104 KB Output is correct
10 Correct 100 ms 74796 KB Output is correct
11 Correct 90 ms 70640 KB Output is correct
12 Correct 114 ms 65104 KB Output is correct
13 Correct 119 ms 65364 KB Output is correct
14 Correct 102 ms 64668 KB Output is correct
15 Correct 57 ms 44424 KB Output is correct
16 Correct 58 ms 44368 KB Output is correct
17 Correct 101 ms 70768 KB Output is correct
18 Correct 10 ms 21596 KB Output is correct
19 Correct 10 ms 21652 KB Output is correct
20 Correct 11 ms 21608 KB Output is correct
21 Correct 10 ms 21608 KB Output is correct
22 Correct 10 ms 21608 KB Output is correct
23 Correct 13 ms 22376 KB Output is correct
24 Correct 13 ms 22120 KB Output is correct
25 Correct 13 ms 22120 KB Output is correct
26 Correct 13 ms 22120 KB Output is correct
27 Correct 102 ms 74884 KB Output is correct
28 Correct 111 ms 65028 KB Output is correct
29 Correct 121 ms 65376 KB Output is correct
30 Correct 112 ms 64864 KB Output is correct

Subtask #5
44.0 / 44.0

# 결과 실행 시간 메모리 Grader output
1 Correct 124 ms 74852 KB Output is correct
2 Correct 11 ms 21608 KB Output is correct
3 Correct 12 ms 21652 KB Output is correct
4 Correct 12 ms 21608 KB Output is correct
5 Correct 12 ms 22176 KB Output is correct
6 Correct 17 ms 22120 KB Output is correct
7 Correct 14 ms 22120 KB Output is correct
8 Correct 124 ms 75008 KB Output is correct
9 Correct 122 ms 74988 KB Output is correct
10 Correct 116 ms 74148 KB Output is correct
11 Correct 114 ms 70240 KB Output is correct
12 Correct 12 ms 21608 KB Output is correct
13 Correct 12 ms 21476 KB Output is correct
14 Correct 12 ms 21480 KB Output is correct
15 Correct 12 ms 21608 KB Output is correct
16 Correct 11 ms 21608 KB Output is correct
17 Correct 17 ms 22376 KB Output is correct
18 Correct 17 ms 22376 KB Output is correct
19 Correct 115 ms 74932 KB Output is correct
20 Correct 138 ms 65376 KB Output is correct
21 Correct 109 ms 71008 KB Output is correct
22 Correct 121 ms 64096 KB Output is correct
23 Correct 75 ms 45580 KB Output is correct
24 Correct 73 ms 46732 KB Output is correct
25 Correct 72 ms 44588 KB Output is correct
26 Correct 66 ms 44372 KB Output is correct
27 Correct 12 ms 21592 KB Output is correct
28 Correct 11 ms 21596 KB Output is correct
29 Correct 11 ms 21640 KB Output is correct
30 Correct 11 ms 21596 KB Output is correct
31 Correct 11 ms 21640 KB Output is correct
32 Correct 15 ms 22108 KB Output is correct
33 Correct 14 ms 22024 KB Output is correct
34 Correct 14 ms 22108 KB Output is correct
35 Correct 13 ms 22104 KB Output is correct
36 Correct 100 ms 74796 KB Output is correct
37 Correct 90 ms 70640 KB Output is correct
38 Correct 114 ms 65104 KB Output is correct
39 Correct 119 ms 65364 KB Output is correct
40 Correct 102 ms 64668 KB Output is correct
41 Correct 57 ms 44424 KB Output is correct
42 Correct 58 ms 44368 KB Output is correct
43 Correct 101 ms 70768 KB Output is correct
44 Correct 10 ms 21596 KB Output is correct
45 Correct 10 ms 21652 KB Output is correct
46 Correct 11 ms 21608 KB Output is correct
47 Correct 10 ms 21608 KB Output is correct
48 Correct 10 ms 21608 KB Output is correct
49 Correct 13 ms 22376 KB Output is correct
50 Correct 13 ms 22120 KB Output is correct
51 Correct 13 ms 22120 KB Output is correct
52 Correct 13 ms 22120 KB Output is correct
53 Correct 102 ms 74884 KB Output is correct
54 Correct 111 ms 65028 KB Output is correct
55 Correct 121 ms 65376 KB Output is correct
56 Correct 112 ms 64864 KB Output is correct
57 Correct 128 ms 65872 KB Output is correct
58 Correct 126 ms 74836 KB Output is correct
59 Correct 113 ms 71088 KB Output is correct