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Submission #107662

# Submission time Handle Problem Language Result Execution time Memory
107662 2019-04-25T12:13:29 Z Saboon Lamps (JOI19_lamps) C++14
47 / 100
 1000 ms 256972 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

const int maxn = 1e6 + 10;

int dp[maxn][65];

int mab(int fi, int se, int th){
	return fi + se * 4 + 16 * th;
}

int transform(int x, int query){
	if (query == 0)
		return x;
	else if (query == 1)
		return 0;
	else if (query == 2)
		return 1;
	else
		return 1 ^ x;
}

int transfer(int q, int fi, int se, int th){
	q = transform(q, fi);
	q = transform(q, se);
	q = transform(q, th);
	return q;
}

bool C(int x){
	return x > 0;
}

int lcs[5][5];
int pd[5][5][5][5][5][5];

int cost(int fi, int se, int th, int all){
	int Fi = (all / 1) % 4;
	int Se = (all / 4) % 4;
	int Th = (all / 16) % 4;
	if (pd[fi][se][th][Fi][Se][Th] != -1)
		return pd[fi][se][th][Fi][Se][Th];
	vector<int> a = {fi, se, th};
	vector<int> b = {Fi, Se, Th};
	int cnt = C(Fi) + C(Se) + C(Th);
	for (int i = 1; i <= 3; i++){
		for (int j = 1; j <= 3; j++){
			lcs[i][j] = max(lcs[i - 1][j], lcs[i][j - 1]);
			if (a[i - 1] == 0 or b[i - 1] == 0)
				continue;
			lcs[i][j] = max(lcs[i][j], (lcs[i - 1][j - 1] + 1) * (a[i - 1] == b[j - 1]));
		}
	}
	//	cout << fi << " " << se << " " << th << " ----- " << cnt - lcs[3][3] << " -----> " << Fi << " " << Se << " " << Th << endl;
	return pd[fi][se][th][Fi][Se][Th] = cnt - lcs[3][3];
}

vector<int> go[2][2];

int main(){
	ios_base::sync_with_stdio(false);
	memset(pd, -1, sizeof pd);
	int n;
	string s, t;
	cin >> n >> s >> t;
	memset(dp, 63, sizeof dp);
	dp[0][0] = 0;
	int answer = n;
	for (int i = 0; i <= 3; i++){
		for (int j = 0; j <= 3; j++){
			for (int k = 0; k <= 3; k++){
				int nex = transfer(0, i, j, k);
				go[0][nex].push_back(mab(i, j, k));

				nex = transfer(1, i, j, k);
				go[1][nex].push_back(mab(i, j, k));
			}
		}
	}

	for (int i = 1; i <= n; i++){
		int me = (int)(s[i - 1] - '0');
		int nex = (int)(t[i - 1] - '0');
		for (auto it : go[me][nex]){
			for (int x = 0; x <= 3; x++){
				for (int y = 0; y <= 3; y++){
					for (int z = 0; z <= 3; z++){
						dp[i][it] = min(dp[i][it], dp[i - 1][mab(x, y, z)] + cost(x, y, z, it));
					}
				}
			}
			if (i == n)
				answer = min(answer, dp[i][it]);
		}
	}
	cout << answer << endl;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 207 ms 254840 KB Output is correct
2 Correct 231 ms 254712 KB Output is correct
3 Correct 202 ms 254784 KB Output is correct
4 Correct 214 ms 254840 KB Output is correct
5 Correct 221 ms 254840 KB Output is correct
6 Correct 207 ms 254836 KB Output is correct
7 Correct 197 ms 254888 KB Output is correct
8 Correct 220 ms 254840 KB Output is correct
9 Correct 213 ms 254840 KB Output is correct
10 Correct 212 ms 254840 KB Output is correct
11 Correct 204 ms 254840 KB Output is correct
12 Correct 208 ms 254840 KB Output is correct
13 Correct 205 ms 254840 KB Output is correct
14 Correct 214 ms 254812 KB Output is correct
15 Correct 208 ms 254840 KB Output is correct
16 Correct 228 ms 254840 KB Output is correct
17 Correct 189 ms 254840 KB Output is correct
18 Correct 191 ms 254880 KB Output is correct
19 Correct 233 ms 254812 KB Output is correct
20 Correct 212 ms 254840 KB Output is correct
21 Correct 223 ms 254968 KB Output is correct
22 Correct 223 ms 254940 KB Output is correct
23 Correct 197 ms 254840 KB Output is correct
24 Correct 197 ms 254956 KB Output is correct
25 Correct 220 ms 254772 KB Output is correct
26 Correct 216 ms 254840 KB Output is correct
27 Correct 224 ms 254900 KB Output is correct
28 Correct 212 ms 254732 KB Output is correct
29 Correct 195 ms 254768 KB Output is correct
30 Correct 213 ms 254840 KB Output is correct
31 Correct 210 ms 254840 KB Output is correct
32 Correct 235 ms 254712 KB Output is correct
33 Correct 226 ms 254840 KB Output is correct
34 Correct 208 ms 254792 KB Output is correct

Subtask #2
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 207 ms 254840 KB Output is correct
2 Correct 231 ms 254712 KB Output is correct
3 Correct 202 ms 254784 KB Output is correct
4 Correct 214 ms 254840 KB Output is correct
5 Correct 221 ms 254840 KB Output is correct
6 Correct 207 ms 254836 KB Output is correct
7 Correct 197 ms 254888 KB Output is correct
8 Correct 220 ms 254840 KB Output is correct
9 Correct 213 ms 254840 KB Output is correct
10 Correct 212 ms 254840 KB Output is correct
11 Correct 204 ms 254840 KB Output is correct
12 Correct 208 ms 254840 KB Output is correct
13 Correct 205 ms 254840 KB Output is correct
14 Correct 214 ms 254812 KB Output is correct
15 Correct 208 ms 254840 KB Output is correct
16 Correct 228 ms 254840 KB Output is correct
17 Correct 189 ms 254840 KB Output is correct
18 Correct 191 ms 254880 KB Output is correct
19 Correct 233 ms 254812 KB Output is correct
20 Correct 212 ms 254840 KB Output is correct
21 Correct 223 ms 254968 KB Output is correct
22 Correct 223 ms 254940 KB Output is correct
23 Correct 197 ms 254840 KB Output is correct
24 Correct 197 ms 254956 KB Output is correct
25 Correct 220 ms 254772 KB Output is correct
26 Correct 216 ms 254840 KB Output is correct
27 Correct 224 ms 254900 KB Output is correct
28 Correct 212 ms 254732 KB Output is correct
29 Correct 195 ms 254768 KB Output is correct
30 Correct 213 ms 254840 KB Output is correct
31 Correct 210 ms 254840 KB Output is correct
32 Correct 235 ms 254712 KB Output is correct
33 Correct 226 ms 254840 KB Output is correct
34 Correct 208 ms 254792 KB Output is correct
35 Correct 227 ms 254776 KB Output is correct
36 Correct 250 ms 254968 KB Output is correct
37 Correct 275 ms 254940 KB Output is correct
38 Correct 310 ms 254872 KB Output is correct
39 Correct 252 ms 254840 KB Output is correct
40 Correct 261 ms 254776 KB Output is correct
41 Correct 253 ms 254892 KB Output is correct
42 Correct 270 ms 254792 KB Output is correct
43 Correct 260 ms 254840 KB Output is correct
44 Correct 250 ms 254916 KB Output is correct
45 Correct 245 ms 254840 KB Output is correct
46 Correct 273 ms 254800 KB Output is correct
47 Correct 265 ms 254840 KB Output is correct
48 Correct 266 ms 254968 KB Output is correct
49 Correct 292 ms 254940 KB Output is correct
50 Correct 262 ms 254980 KB Output is correct
51 Correct 249 ms 254876 KB Output is correct
52 Correct 259 ms 254868 KB Output is correct
53 Correct 231 ms 254808 KB Output is correct
54 Correct 239 ms 254788 KB Output is correct
55 Correct 235 ms 254968 KB Output is correct
56 Correct 236 ms 254968 KB Output is correct
57 Correct 241 ms 254936 KB Output is correct
58 Correct 232 ms 254940 KB Output is correct

Subtask #3
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 208 ms 254840 KB Output is correct
2 Correct 216 ms 254784 KB Output is correct
3 Correct 205 ms 254968 KB Output is correct
4 Correct 210 ms 254768 KB Output is correct
5 Correct 208 ms 254828 KB Output is correct
6 Correct 208 ms 254840 KB Output is correct
7 Execution timed out 1048 ms 256972 KB Time limit exceeded
8 Halted 0 ms 0 KB -

Subtask #4
0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 207 ms 254840 KB Output is correct
2 Correct 231 ms 254712 KB Output is correct
3 Correct 202 ms 254784 KB Output is correct
4 Correct 214 ms 254840 KB Output is correct
5 Correct 221 ms 254840 KB Output is correct
6 Correct 207 ms 254836 KB Output is correct
7 Correct 197 ms 254888 KB Output is correct
8 Correct 220 ms 254840 KB Output is correct
9 Correct 213 ms 254840 KB Output is correct
10 Correct 212 ms 254840 KB Output is correct
11 Correct 204 ms 254840 KB Output is correct
12 Correct 208 ms 254840 KB Output is correct
13 Correct 205 ms 254840 KB Output is correct
14 Correct 214 ms 254812 KB Output is correct
15 Correct 208 ms 254840 KB Output is correct
16 Correct 228 ms 254840 KB Output is correct
17 Correct 189 ms 254840 KB Output is correct
18 Correct 191 ms 254880 KB Output is correct
19 Correct 233 ms 254812 KB Output is correct
20 Correct 212 ms 254840 KB Output is correct
21 Correct 223 ms 254968 KB Output is correct
22 Correct 223 ms 254940 KB Output is correct
23 Correct 197 ms 254840 KB Output is correct
24 Correct 197 ms 254956 KB Output is correct
25 Correct 220 ms 254772 KB Output is correct
26 Correct 216 ms 254840 KB Output is correct
27 Correct 224 ms 254900 KB Output is correct
28 Correct 212 ms 254732 KB Output is correct
29 Correct 195 ms 254768 KB Output is correct
30 Correct 213 ms 254840 KB Output is correct
31 Correct 210 ms 254840 KB Output is correct
32 Correct 235 ms 254712 KB Output is correct
33 Correct 226 ms 254840 KB Output is correct
34 Correct 208 ms 254792 KB Output is correct
35 Correct 227 ms 254776 KB Output is correct
36 Correct 250 ms 254968 KB Output is correct
37 Correct 275 ms 254940 KB Output is correct
38 Correct 310 ms 254872 KB Output is correct
39 Correct 252 ms 254840 KB Output is correct
40 Correct 261 ms 254776 KB Output is correct
41 Correct 253 ms 254892 KB Output is correct
42 Correct 270 ms 254792 KB Output is correct
43 Correct 260 ms 254840 KB Output is correct
44 Correct 250 ms 254916 KB Output is correct
45 Correct 245 ms 254840 KB Output is correct
46 Correct 273 ms 254800 KB Output is correct
47 Correct 265 ms 254840 KB Output is correct
48 Correct 266 ms 254968 KB Output is correct
49 Correct 292 ms 254940 KB Output is correct
50 Correct 262 ms 254980 KB Output is correct
51 Correct 249 ms 254876 KB Output is correct
52 Correct 259 ms 254868 KB Output is correct
53 Correct 231 ms 254808 KB Output is correct
54 Correct 239 ms 254788 KB Output is correct
55 Correct 235 ms 254968 KB Output is correct
56 Correct 236 ms 254968 KB Output is correct
57 Correct 241 ms 254936 KB Output is correct
58 Correct 232 ms 254940 KB Output is correct
59 Correct 208 ms 254840 KB Output is correct
60 Correct 216 ms 254784 KB Output is correct
61 Correct 205 ms 254968 KB Output is correct
62 Correct 210 ms 254768 KB Output is correct
63 Correct 208 ms 254828 KB Output is correct
64 Correct 208 ms 254840 KB Output is correct
65 Execution timed out 1048 ms 256972 KB Time limit exceeded
66 Halted 0 ms 0 KB -