답안 #551934

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
551934	2022-04-21T22:46:31 Z	LucaDantas	유괴 2 (JOI17_abduction2)	C++17	100 / 100	2135 ms	131112 KB

abduction2

// Eu tinha codado isso pq achei que um guloso funcionava mas depois so mudei pra ser um brutao, dei umas otimizadas pra ser mais inteligente
// e magicamente passou full porque aparentemente o espaço da busca da DP é pequeno então ele não passa por tantos estados e no fim
// fica rapido kkkkkkkkkkkkkkkkkkkkkkkkkkk
#include <bits/stdc++.h>
using namespace std;

constexpr int maxn = 50010, inf = 0x3f3f3f3f;

int A[maxn], B[maxn], R, C;

// Nem otimizei esses negocios aqui que eu ia colocar um binary lifting ou uma sparse table e nem precisou wtf KKKKKKKKK
int find_first_A(int id, int val) { int i; for(i = id+1; A[i] < val; i++); return i; }
int find_first_B(int id, int val) { int i; for(i = id+1; B[i] < val; i++); return i; }

// e vai ficar assim me desculpa, se n precisa n vou codar
int find_last_A(int id, int val) { int i; for(i = id-1; A[i] < val; i--); return i; }
int find_last_B(int id, int val) { int i; for(i = id-1; B[i] < val; i--); return i; }

int find_first(int lim_id, int lim_val, bool k) { return k == 0 ? find_first_A(lim_id, lim_val) : find_first_B(lim_id, lim_val); }
int find_last(int lim_id, int lim_val, bool k) { return k == 0 ? find_last_A(lim_id, lim_val) : find_last_B(lim_id, lim_val); }

map<int, long long> dp[maxn][2];

// Perdão esse código não foi feito pra ser compreensível e sim pra ser o mais enxuto possível pra eu conseguir codar rápido
// ficou muito feio porque como é num grid e eu tenho q ficar alternando sempre entre linha e coluna eu preferi colocar uma variavel
// e escolher cada coisa individualmente de acordo com o k (por isso tantos operadores ternarios) ao inves de fazer um bloco inteiro
// pra k == 0 e outro pra k == 1

long long go(int r, int c, bool k) {
	if(dp[r][k].count(c))
		return dp[r][k][c];

	int procurar = k == 0 ? r : c, eu = k == 0 ? c : r;

	// k == 0 eu sou uma coluna e estou procurando a proxima linha que eu vou visitar
	// k == 1, o oposto de k == 0
	
	// p{1/2} == indice do cara que eu achei, d{1/2} == distancia, v{1/2} == valor do cara que eu achei
	int p1 = find_last(procurar, k == 0 ? B[eu] : A[eu], k); // ultimo cara com sentido oposto com indice < procurar e valor > A[r]
	int d1 = procurar - p1, v1 = k == 0 ? A[p1] : B[p1];
	
	int p2 = find_first(procurar, k == 0 ? B[eu] : A[eu], k); // primeiro cara com sentido oposto com indice > procurar e valor > A[r]
	int d2 = p2 - procurar, v2 = k == 0 ? A[p2] : B[p2];
	
	if(v1 > v2) // quero manter a invariante de que v1 < v2 pra ficar mais fácil de calcular as coisas
		swap(p1, p2), swap(d1, d2), swap(v1, v2);

	// subtraio 1 dos infinitos porque eu defini eles como o primeiro ponto fora do grid (0 ou R+1/C+1)
	// então a distância deles fica 1 a mais do que é pra ser
	if(v1 == inf)
		return dp[r][k][c] = max(d1, d2)-1; // cheguei ao fim indo pra algum dos lados, escolho o maior obviamente
	if(v2 == inf)
		return dp[r][k][c] = max(d1 + (k == 0 ? go(p1, c, 1) : go(r, p1, 0)), (long long) d2-1); // cheguei ao fim indo pro maior mas não cheguei indo pro menor, então pego o melhor entre os dois

	// ahh, que linha linda!
	// return dp[r][k][c] = max((long long) d1 + (k == 0 ? go(p1, c, !k) : go(r, p1, !k)), (long long) d2 + (k == 0 ? go(p2, c, !k) : go(r, p2, !k)));

	// vou ser bonzinho e deixar mais legível
	long long goP1 = (long long) d1 + (k == 0 ? go(p1, c, !k) : go(r, p1, !k)); // se eu for pro p1
	long long goP2 = (long long) d2 + (k == 0 ? go(p2, c, !k) : go(r, p2, !k)); // se eu for pro p2
	// ainda tá feio por causa do case work com k mas ta melhor

	return dp[r][k][c] = max(goP1, goP2);
}

// olhando essa main o problema parece tão bonito... ;-;
int main() {
	int q; scanf("%d %d %d", &R, &C, &q);
	for(int i = 1; i <= R; i++)
		scanf("%d", &A[i]);
	for(int i = 1; i <= C; i++)
		scanf("%d", &B[i]);
	A[0] = A[R+1] = B[0] = B[C+1] = inf;
	while(q--) {
		int r, c; scanf("%d %d", &r, &c);
		printf("%lld\n", max(go(r, c, 0), go(r, c, 1)));
	}
}

Compilation message

abduction2.cpp: In function 'int main()':
abduction2.cpp:68:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   68 |  int q; scanf("%d %d %d", &R, &C, &q);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
abduction2.cpp:70:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   70 |   scanf("%d", &A[i]);
      |   ~~~~~^~~~~~~~~~~~~
abduction2.cpp:72:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   72 |   scanf("%d", &B[i]);
      |   ~~~~~^~~~~~~~~~~~~
abduction2.cpp:75:18: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   75 |   int r, c; scanf("%d %d", &r, &c);
      |             ~~~~~^~~~~~~~~~~~~~~~~

Subtask #1
13.0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	4948 KB	Output is correct
2	Correct	3 ms	4948 KB	Output is correct
3	Correct	2 ms	4948 KB	Output is correct
4	Correct	3 ms	4948 KB	Output is correct
5	Correct	2 ms	4948 KB	Output is correct
6	Correct	4 ms	4948 KB	Output is correct
7	Correct	2 ms	4948 KB	Output is correct
8	Correct	2 ms	4948 KB	Output is correct
9	Correct	3 ms	4948 KB	Output is correct
10	Correct	3 ms	4948 KB	Output is correct
11	Correct	4 ms	4964 KB	Output is correct

Subtask #2
10.0 / 10.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	4948 KB	Output is correct
2	Correct	3 ms	4948 KB	Output is correct
3	Correct	2 ms	4948 KB	Output is correct
4	Correct	3 ms	4948 KB	Output is correct
5	Correct	2 ms	4948 KB	Output is correct
6	Correct	4 ms	4948 KB	Output is correct
7	Correct	2 ms	4948 KB	Output is correct
8	Correct	2 ms	4948 KB	Output is correct
9	Correct	3 ms	4948 KB	Output is correct
10	Correct	3 ms	4948 KB	Output is correct
11	Correct	4 ms	4964 KB	Output is correct
12	Correct	4 ms	4948 KB	Output is correct
13	Correct	3 ms	4948 KB	Output is correct
14	Correct	3 ms	4948 KB	Output is correct
15	Correct	3 ms	4948 KB	Output is correct
16	Correct	3 ms	4948 KB	Output is correct
17	Correct	3 ms	4948 KB	Output is correct
18	Correct	3 ms	4948 KB	Output is correct
19	Correct	5 ms	5164 KB	Output is correct
20	Correct	6 ms	5368 KB	Output is correct
21	Correct	6 ms	5204 KB	Output is correct
22	Correct	7 ms	5588 KB	Output is correct

Subtask #3
17.0 / 17.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	4948 KB	Output is correct
2	Correct	3 ms	4948 KB	Output is correct
3	Correct	2 ms	4948 KB	Output is correct
4	Correct	3 ms	4948 KB	Output is correct
5	Correct	2 ms	4948 KB	Output is correct
6	Correct	4 ms	4948 KB	Output is correct
7	Correct	2 ms	4948 KB	Output is correct
8	Correct	2 ms	4948 KB	Output is correct
9	Correct	3 ms	4948 KB	Output is correct
10	Correct	3 ms	4948 KB	Output is correct
11	Correct	4 ms	4964 KB	Output is correct
12	Correct	4 ms	4948 KB	Output is correct
13	Correct	3 ms	4948 KB	Output is correct
14	Correct	3 ms	4948 KB	Output is correct
15	Correct	3 ms	4948 KB	Output is correct
16	Correct	3 ms	4948 KB	Output is correct
17	Correct	3 ms	4948 KB	Output is correct
18	Correct	3 ms	4948 KB	Output is correct
19	Correct	5 ms	5164 KB	Output is correct
20	Correct	6 ms	5368 KB	Output is correct
21	Correct	6 ms	5204 KB	Output is correct
22	Correct	7 ms	5588 KB	Output is correct
23	Correct	20 ms	5344 KB	Output is correct
24	Correct	14 ms	5332 KB	Output is correct
25	Correct	13 ms	5332 KB	Output is correct
26	Correct	14 ms	5320 KB	Output is correct
27	Correct	14 ms	5332 KB	Output is correct
28	Correct	396 ms	10376 KB	Output is correct
29	Correct	111 ms	6120 KB	Output is correct
30	Correct	1018 ms	12472 KB	Output is correct
31	Correct	1212 ms	14604 KB	Output is correct
32	Correct	84 ms	5716 KB	Output is correct
33	Correct	396 ms	7932 KB	Output is correct

Subtask #4
4.0 / 4.0

#	결과	실행 시간	메모리	Grader output
1	Correct	3 ms	5076 KB	Output is correct
2	Correct	4 ms	5076 KB	Output is correct
3	Correct	4 ms	5204 KB	Output is correct
4	Correct	4 ms	5076 KB	Output is correct
5	Correct	4 ms	5076 KB	Output is correct
6	Correct	4 ms	5232 KB	Output is correct
7	Correct	4 ms	5204 KB	Output is correct
8	Correct	6 ms	5460 KB	Output is correct
9	Correct	8 ms	5460 KB	Output is correct
10	Correct	6 ms	5460 KB	Output is correct
11	Correct	8 ms	5588 KB	Output is correct

Subtask #5
56.0 / 56.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	4948 KB	Output is correct
2	Correct	3 ms	4948 KB	Output is correct
3	Correct	2 ms	4948 KB	Output is correct
4	Correct	3 ms	4948 KB	Output is correct
5	Correct	2 ms	4948 KB	Output is correct
6	Correct	4 ms	4948 KB	Output is correct
7	Correct	2 ms	4948 KB	Output is correct
8	Correct	2 ms	4948 KB	Output is correct
9	Correct	3 ms	4948 KB	Output is correct
10	Correct	3 ms	4948 KB	Output is correct
11	Correct	4 ms	4964 KB	Output is correct
12	Correct	4 ms	4948 KB	Output is correct
13	Correct	3 ms	4948 KB	Output is correct
14	Correct	3 ms	4948 KB	Output is correct
15	Correct	3 ms	4948 KB	Output is correct
16	Correct	3 ms	4948 KB	Output is correct
17	Correct	3 ms	4948 KB	Output is correct
18	Correct	3 ms	4948 KB	Output is correct
19	Correct	5 ms	5164 KB	Output is correct
20	Correct	6 ms	5368 KB	Output is correct
21	Correct	6 ms	5204 KB	Output is correct
22	Correct	7 ms	5588 KB	Output is correct
23	Correct	20 ms	5344 KB	Output is correct
24	Correct	14 ms	5332 KB	Output is correct
25	Correct	13 ms	5332 KB	Output is correct
26	Correct	14 ms	5320 KB	Output is correct
27	Correct	14 ms	5332 KB	Output is correct
28	Correct	396 ms	10376 KB	Output is correct
29	Correct	111 ms	6120 KB	Output is correct
30	Correct	1018 ms	12472 KB	Output is correct
31	Correct	1212 ms	14604 KB	Output is correct
32	Correct	84 ms	5716 KB	Output is correct
33	Correct	396 ms	7932 KB	Output is correct
34	Correct	3 ms	5076 KB	Output is correct
35	Correct	4 ms	5076 KB	Output is correct
36	Correct	4 ms	5204 KB	Output is correct
37	Correct	4 ms	5076 KB	Output is correct
38	Correct	4 ms	5076 KB	Output is correct
39	Correct	4 ms	5232 KB	Output is correct
40	Correct	4 ms	5204 KB	Output is correct
41	Correct	6 ms	5460 KB	Output is correct
42	Correct	8 ms	5460 KB	Output is correct
43	Correct	6 ms	5460 KB	Output is correct
44	Correct	8 ms	5588 KB	Output is correct
45	Correct	21 ms	5676 KB	Output is correct
46	Correct	18 ms	5660 KB	Output is correct
47	Correct	29 ms	5668 KB	Output is correct
48	Correct	21 ms	5692 KB	Output is correct
49	Correct	17 ms	5596 KB	Output is correct
50	Correct	495 ms	9928 KB	Output is correct
51	Correct	449 ms	10508 KB	Output is correct
52	Correct	1402 ms	16376 KB	Output is correct
53	Correct	1355 ms	15944 KB	Output is correct
54	Correct	1302 ms	15480 KB	Output is correct
55	Correct	1916 ms	22076 KB	Output is correct
56	Correct	2135 ms	131112 KB	Output is correct
57	Correct	722 ms	38308 KB	Output is correct
58	Correct	715 ms	36772 KB	Output is correct
59	Correct	707 ms	36568 KB	Output is correct

답안 #551934

Compilation message

Subtask #1 13.0 / 13.0

Subtask #2 10.0 / 10.0

Subtask #3 17.0 / 17.0

Subtask #4 4.0 / 4.0

Subtask #5 56.0 / 56.0

Subtask #1
13.0 / 13.0

Subtask #2
10.0 / 10.0

Subtask #3
17.0 / 17.0

Subtask #4
4.0 / 4.0

Subtask #5
56.0 / 56.0