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Submission #943486

# Submission time Handle Problem Language Result Execution time Memory
943486 2024-03-11T14:19:04 Z Tuanlinh123 Lamps (JOI19_lamps) C++17
100 / 100
 77 ms 9712 KB 
#include<bits/stdc++.h>
#define ll int
#define pll pair<ll, ll>
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define ld long double
#define sz(a) ((ll)(a).size())
using namespace std;

const ll inf=1e9;
ll a[1000005], b[1000005], dp[2][3][2];
ll costk[2][2]={{0, 1}, {0, 0}}, costj[3][3]={{0, 1, 0}, {1, 0, 0}, {1, 1, 0}};
ll read(){char c; cin >> c; return c-'0';}
void upd(ll a, ll& b) {b=min(a, b);}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    ll n; cin >> n;
    for (ll i=1; i<=n; i++) a[i]=read();
    for (ll i=1; i<=n; i++) b[i]=read();
    for (ll i=0; i<2; i++)
        for (ll j=0; j<3; j++)
            for (ll k=0; k<2; k++)
                dp[i][j][k]=inf;
    dp[0][2][0]=0;
    for (ll i=1; i<=n; i++)
    {
        ll c=i&1, p=(i^1)&1;
        for (ll j=0; j<3; j++)
            for (ll k=0; k<2; k++)
                dp[c][j][k]=inf;
        for (ll j=0; j<3; j++)
            for (ll k=0; k<2; k++)
                for (ll jn=0; jn<3; jn++)
                    for (ll kn=0; kn<2; kn++)
                        upd(dp[p][j][k]+costj[j][jn]+costk[k][kn], dp[c][jn][kn]);
        for (ll j=0; j<3; j++)
            for (ll k=0; k<2; k++)
                if (((j<2?j:a[i])^k)!=b[i])
                    dp[c][j][k]=inf;
    }
    ll ans=inf;
    for (ll j=0; j<3; j++)
        for (ll k=0; k<2; k++)
            ans=min(ans, dp[n&1][j][k]);
    cout << ans;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2512 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2508 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 0 ms 2396 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct

Subtask #2
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2512 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2508 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 0 ms 2396 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct
35 Correct 1 ms 2392 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 1 ms 2512 KB Output is correct
39 Correct 1 ms 2396 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 1 ms 2392 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 1 ms 2396 KB Output is correct
48 Correct 1 ms 2508 KB Output is correct
49 Correct 1 ms 2396 KB Output is correct
50 Correct 1 ms 2396 KB Output is correct
51 Correct 1 ms 2396 KB Output is correct
52 Correct 1 ms 2396 KB Output is correct
53 Correct 1 ms 2396 KB Output is correct
54 Correct 1 ms 2396 KB Output is correct
55 Correct 1 ms 2396 KB Output is correct
56 Correct 1 ms 2396 KB Output is correct
57 Correct 1 ms 2396 KB Output is correct
58 Correct 1 ms 2392 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2512 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 54 ms 9536 KB Output is correct
8 Correct 57 ms 9416 KB Output is correct
9 Correct 54 ms 9308 KB Output is correct
10 Correct 54 ms 9564 KB Output is correct
11 Correct 53 ms 9564 KB Output is correct
12 Correct 63 ms 9296 KB Output is correct
13 Correct 61 ms 9540 KB Output is correct
14 Correct 54 ms 9296 KB Output is correct

Subtask #4
49.0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2512 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2508 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 0 ms 2396 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct
35 Correct 1 ms 2392 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 1 ms 2512 KB Output is correct
39 Correct 1 ms 2396 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 1 ms 2392 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 1 ms 2396 KB Output is correct
48 Correct 1 ms 2508 KB Output is correct
49 Correct 1 ms 2396 KB Output is correct
50 Correct 1 ms 2396 KB Output is correct
51 Correct 1 ms 2396 KB Output is correct
52 Correct 1 ms 2396 KB Output is correct
53 Correct 1 ms 2396 KB Output is correct
54 Correct 1 ms 2396 KB Output is correct
55 Correct 1 ms 2396 KB Output is correct
56 Correct 1 ms 2396 KB Output is correct
57 Correct 1 ms 2396 KB Output is correct
58 Correct 1 ms 2392 KB Output is correct
59 Correct 1 ms 2396 KB Output is correct
60 Correct 1 ms 2396 KB Output is correct
61 Correct 1 ms 2396 KB Output is correct
62 Correct 1 ms 2512 KB Output is correct
63 Correct 1 ms 2392 KB Output is correct
64 Correct 1 ms 2396 KB Output is correct
65 Correct 54 ms 9536 KB Output is correct
66 Correct 57 ms 9416 KB Output is correct
67 Correct 54 ms 9308 KB Output is correct
68 Correct 54 ms 9564 KB Output is correct
69 Correct 53 ms 9564 KB Output is correct
70 Correct 63 ms 9296 KB Output is correct
71 Correct 61 ms 9540 KB Output is correct
72 Correct 54 ms 9296 KB Output is correct
73 Correct 54 ms 9300 KB Output is correct
74 Correct 54 ms 9540 KB Output is correct
75 Correct 56 ms 9324 KB Output is correct
76 Correct 53 ms 9304 KB Output is correct
77 Correct 54 ms 9544 KB Output is correct
78 Correct 53 ms 9308 KB Output is correct
79 Correct 53 ms 9564 KB Output is correct
80 Correct 54 ms 9652 KB Output is correct
81 Correct 55 ms 9536 KB Output is correct
82 Correct 60 ms 9536 KB Output is correct
83 Correct 58 ms 9300 KB Output is correct
84 Correct 58 ms 9544 KB Output is correct
85 Correct 63 ms 9632 KB Output is correct
86 Correct 62 ms 9572 KB Output is correct
87 Correct 58 ms 9496 KB Output is correct
88 Correct 59 ms 9540 KB Output is correct
89 Correct 58 ms 9544 KB Output is correct
90 Correct 65 ms 9296 KB Output is correct
91 Correct 60 ms 9300 KB Output is correct
92 Correct 62 ms 9540 KB Output is correct
93 Correct 72 ms 9336 KB Output is correct
94 Correct 62 ms 9408 KB Output is correct
95 Correct 64 ms 9552 KB Output is correct
96 Correct 67 ms 9712 KB Output is correct
97 Correct 63 ms 9296 KB Output is correct
98 Correct 63 ms 9304 KB Output is correct
99 Correct 64 ms 9536 KB Output is correct
100 Correct 64 ms 9712 KB Output is correct
101 Correct 63 ms 9360 KB Output is correct
102 Correct 77 ms 9560 KB Output is correct