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Submission #379562

# Submission time Handle Problem Language Result Execution time Memory
379562 2021-03-18T15:34:58 Z nafis_shifat Lamps (JOI19_lamps) C++14
100 / 100
 478 ms 135636 KB 
#include<bits/stdc++.h>
#define ll long long
#define pii pair<int,int>
using namespace std;
const int mxn=1e5+5;
const int inf=1e9;

int get(int x,int op) {
	if(op == 0) return 0;
	if(op == 1) return 1;
	if(op == 2) return x ^ 1;
	return x;
}
int op(int a) {
	return a != 3;
}
int op(int a,int b) {
	return (a != 3) + (b != 3);
}
int main() {
	int n;
	cin >> n;
	int dp[n + 1][4][4][2] = {};

	int a[n + 1];
	int b[n + 1];

	for(int i = 1; i <= n; i++) {
		char c;
		cin >> c;
		c -= '0';
		a[i] = c;
	}

	for(int i = 1; i <= n; i++) {
		char c;
		cin >> c;
		c -= '0';
		b[i] = c;
	}

	int lm0 = inf;
	int lm1 = inf;



	for(int i = 0; i < 4; i++) {
		for(int j = 0; j < 4; j++) {
			int x = get(a[1],i);
			int y = get(x,j);

			if(y == b[1]) {
				dp[1][i][j][0] = op(i,j);
				dp[1][i][j][1] = inf;
			}
			else {
				dp[1][i][j][1] = op(i,j) + 1;
				dp[1][i][j][0] = inf;
			}
			lm0 = min(lm0,dp[1][i][j][0]);
			lm1 = min(lm1,dp[1][i][j][1]);
		}
	}


	for(int i = 2; i <= n; i++) {
		int cm0 = inf,cm1 = inf;
		for(int j = 0; j < 4; j++) {
			for(int k = 0; k < 4; k++) {
				int x = get(a[i],j);
			    int y = get(x,k);
			    if(y != b[i]) {
			    	dp[i][j][k][0] = inf;
			    	int &r = dp[i][j][k][1];
			    	r = dp[i - 1][j][k][1];
			    	r = min(r,lm1 + op(j,k));
			    	for(int x = 0; x < 4; x++) r = min(r,min(dp[i - 1][x][j][0] + 1,dp[i - 1][x][j][1]) + op(k));
			    	for(int x = 0; x < 4; x++) r = min(r,min(dp[i - 1][j][x][0] + 1,dp[i - 1][j][x][1]) + op(k));
			    	cm1 = min(cm1,dp[i][j][k][1]);
			    }
			    else {
			    	dp[i][j][k][1] = inf;
			    	int &r = dp[i][j][k][0];
			    	r = dp[i - 1][j][k][0];
			    	r = min(r,min(lm0,lm1) + op(j,k));
			    	for(int x = 0; x < 4; x++) r = min(r,min(dp[i - 1][x][j][0],dp[i - 1][x][j][1]) + op(k));
			    	for(int x = 0; x < 4; x++) r = min(r,min(dp[i - 1][j][x][0],dp[i - 1][j][x][1]) + op(k));
			    	cm0 = min(cm0,dp[i][j][k][0]);
			    }				
			}
		}
		lm0 = cm0;
		lm1 = cm1;
	}
	
	cout<<min(lm0,lm1)<<endl;



}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 0 ms 364 KB Output is correct
16 Correct 0 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 380 KB Output is correct
19 Correct 0 ms 364 KB Output is correct
20 Correct 0 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 0 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 0 ms 364 KB Output is correct
25 Correct 0 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 372 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct

Subtask #2
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 0 ms 364 KB Output is correct
16 Correct 0 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 380 KB Output is correct
19 Correct 0 ms 364 KB Output is correct
20 Correct 0 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 0 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 0 ms 364 KB Output is correct
25 Correct 0 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 372 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 640 KB Output is correct
36 Correct 2 ms 620 KB Output is correct
37 Correct 1 ms 620 KB Output is correct
38 Correct 2 ms 620 KB Output is correct
39 Correct 1 ms 620 KB Output is correct
40 Correct 1 ms 620 KB Output is correct
41 Correct 2 ms 620 KB Output is correct
42 Correct 1 ms 620 KB Output is correct
43 Correct 1 ms 620 KB Output is correct
44 Correct 1 ms 620 KB Output is correct
45 Correct 1 ms 620 KB Output is correct
46 Correct 1 ms 620 KB Output is correct
47 Correct 1 ms 620 KB Output is correct
48 Correct 1 ms 620 KB Output is correct
49 Correct 1 ms 620 KB Output is correct
50 Correct 1 ms 620 KB Output is correct
51 Correct 1 ms 620 KB Output is correct
52 Correct 2 ms 620 KB Output is correct
53 Correct 1 ms 620 KB Output is correct
54 Correct 2 ms 620 KB Output is correct
55 Correct 2 ms 620 KB Output is correct
56 Correct 3 ms 620 KB Output is correct
57 Correct 1 ms 620 KB Output is correct
58 Correct 1 ms 620 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 429 ms 133432 KB Output is correct
8 Correct 437 ms 133356 KB Output is correct
9 Correct 442 ms 133800 KB Output is correct
10 Correct 448 ms 133868 KB Output is correct
11 Correct 433 ms 133740 KB Output is correct
12 Correct 430 ms 133612 KB Output is correct
13 Correct 442 ms 133740 KB Output is correct
14 Correct 432 ms 133740 KB Output is correct

Subtask #4
49.0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 0 ms 364 KB Output is correct
16 Correct 0 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 380 KB Output is correct
19 Correct 0 ms 364 KB Output is correct
20 Correct 0 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 0 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 0 ms 364 KB Output is correct
25 Correct 0 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 372 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 640 KB Output is correct
36 Correct 2 ms 620 KB Output is correct
37 Correct 1 ms 620 KB Output is correct
38 Correct 2 ms 620 KB Output is correct
39 Correct 1 ms 620 KB Output is correct
40 Correct 1 ms 620 KB Output is correct
41 Correct 2 ms 620 KB Output is correct
42 Correct 1 ms 620 KB Output is correct
43 Correct 1 ms 620 KB Output is correct
44 Correct 1 ms 620 KB Output is correct
45 Correct 1 ms 620 KB Output is correct
46 Correct 1 ms 620 KB Output is correct
47 Correct 1 ms 620 KB Output is correct
48 Correct 1 ms 620 KB Output is correct
49 Correct 1 ms 620 KB Output is correct
50 Correct 1 ms 620 KB Output is correct
51 Correct 1 ms 620 KB Output is correct
52 Correct 2 ms 620 KB Output is correct
53 Correct 1 ms 620 KB Output is correct
54 Correct 2 ms 620 KB Output is correct
55 Correct 2 ms 620 KB Output is correct
56 Correct 3 ms 620 KB Output is correct
57 Correct 1 ms 620 KB Output is correct
58 Correct 1 ms 620 KB Output is correct
59 Correct 1 ms 364 KB Output is correct
60 Correct 1 ms 364 KB Output is correct
61 Correct 1 ms 384 KB Output is correct
62 Correct 1 ms 364 KB Output is correct
63 Correct 0 ms 364 KB Output is correct
64 Correct 1 ms 364 KB Output is correct
65 Correct 429 ms 133432 KB Output is correct
66 Correct 437 ms 133356 KB Output is correct
67 Correct 442 ms 133800 KB Output is correct
68 Correct 448 ms 133868 KB Output is correct
69 Correct 433 ms 133740 KB Output is correct
70 Correct 430 ms 133612 KB Output is correct
71 Correct 442 ms 133740 KB Output is correct
72 Correct 432 ms 133740 KB Output is correct
73 Correct 462 ms 135572 KB Output is correct
74 Correct 438 ms 135636 KB Output is correct
75 Correct 429 ms 135276 KB Output is correct
76 Correct 436 ms 135404 KB Output is correct
77 Correct 435 ms 135276 KB Output is correct
78 Correct 433 ms 135340 KB Output is correct
79 Correct 438 ms 135276 KB Output is correct
80 Correct 437 ms 135288 KB Output is correct
81 Correct 437 ms 135404 KB Output is correct
82 Correct 428 ms 135404 KB Output is correct
83 Correct 455 ms 135404 KB Output is correct
84 Correct 447 ms 135276 KB Output is correct
85 Correct 446 ms 135276 KB Output is correct
86 Correct 450 ms 135276 KB Output is correct
87 Correct 446 ms 135404 KB Output is correct
88 Correct 478 ms 135404 KB Output is correct
89 Correct 465 ms 135532 KB Output is correct
90 Correct 447 ms 135276 KB Output is correct
91 Correct 455 ms 135404 KB Output is correct
92 Correct 454 ms 135276 KB Output is correct
93 Correct 457 ms 135276 KB Output is correct
94 Correct 461 ms 135404 KB Output is correct
95 Correct 450 ms 135276 KB Output is correct
96 Correct 455 ms 135276 KB Output is correct
97 Correct 462 ms 135276 KB Output is correct
98 Correct 462 ms 135404 KB Output is correct
99 Correct 453 ms 135276 KB Output is correct
100 Correct 455 ms 135436 KB Output is correct
101 Correct 460 ms 135276 KB Output is correct
102 Correct 454 ms 135276 KB Output is correct