oj.uz

Submission #1082466

# Submission time Handle Problem Language Result Execution time Memory
1082466 2024-08-31T12:09:44 Z phong Lamps (JOI19_lamps) C++17
100 / 100
 268 ms 167376 KB 
#include<bits/stdc++.h>

#define ll long long
const int nmax = 1e6 + 5, N = 1e5;
const ll oo = 1e18 + 1, base = 311;
const int lg = 15, M = 10;
const ll mod = 998244353, mod2 = 1e9 + 5277;
#define pii pair<int, int>
#define fi first
#define se second
#define endl "\n"
#define debug(a, n) for(int i = 1; i <= n; ++i) cout << a[i] << ' '; cout << "\n";
using namespace std;

int n;
string a, b;
int dp[nmax][20 + 1][2];
int deg[nmax];
struct node{
    int f[3];
}one[nmax];
int sz = 0, g[nmax], stu[nmax];
int F[2][100];
void add(vector<int> &v){
    ++sz;
    g[sz] = v.size();
    if(v.size() >= 1) one[sz].f[0] = v[0];
    if(v.size() >= 2) one[sz].f[1] = v[1];
    if(v.size() >= 3) one[sz].f[2] = v[2];
    int res = 0;
    for(int i = 0; i < 3; ++i){
        res = res * 10 + one[sz].f[i];
    }
    stu[sz] = res;
    deg[res] = sz;
    for(int x = 0; x < 2; ++x){
        int id = x;
        for(int i = 0; i < 3; ++i){
            if(one[sz].f[i] == 1) id = 0;
            if(one[sz].f[i] == 2) id = 1;
            if(one[sz].f[i] == 3) id ^= 1;
        }
        F[x][sz] = id;
    }
}
int val[nmax];
vector<int> v;
void update(int m){
    v.clear();
    for(int i = 1; i <= m; ++i) v.push_back(val[i]);
    do{
        add(v);
    }
    while(next_permutation(v.begin(), v.end()));
}
void calc(int i){
    for(int j = val[i - 1] + 1; j <= 3; ++j){
        val[i] = j;
        update(i);
        if(i < 3) calc(i + 1);

    }
}
vector<pii> adj[100], gg[100];
main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
//    freopen("code.inp", "r", stdin);
//    freopen("code.out", "w", stdout);
    cin >> n;
    cin >> a;
    cin >> b;
    a = ' ' + a;
    b = ' ' + b;
    memset(dp, 0x3f, sizeof dp);
    dp[0][0][0] = 0;
    calc(1);
    for(int i = 0; i <= sz; ++i){
        for(int j = 0; j <= sz; ++j){
            if(g[i] + g[j] <= 3){
                bool ok = 1;
                for(int x = 0; x < 3; ++x){
                    if(!one[i].f[x]) break;
                    bool idx = 0;
                    for(int y = 0; y < 3; ++y){
                        if(!one[j].f[y])break;
                        if(one[i].f[x] == one[j].f[y]) idx = 1;
                    }
                    ok &= idx;
                }
                if(ok){
                    adj[i].push_back({j, g[j] - g[i]});
                }

            }
        }
        int res = 0;
        gg[i].push_back({0, 0});
        int p = -1;
        for(int x = 0; x < 3; ++x){
            if(!one[i].f[x]) break;
            p = x + 1;
        }
        if(p != -1){
            for(int msk = 1; msk < (1 << p); ++msk){
                int res = 0,cnt =3;
                for(int j = 0; j < p; ++j){
                    if(msk >> j & 1){
                        cnt--;
                        res = res * 10 + one[i].f[j];
                    }
                }
                while(cnt > 0){
                    res *= 10;
                    --cnt;
                }
                gg[i].push_back({deg[res], 0});
            }
        }
    }
//    for(int msk = 0; msk )
    F[0][0] =0, F[1][0] = 1;
    for(int i = 0; i < n;++i){
        int x;
        if(i == 0) x = 0;
        else x = b[i] - '0';
        for(int msk = 0; msk <= sz; ++msk){
            for(auto [new_msk, cost] : gg[msk]){
                dp[i][new_msk][x] = min(dp[i][new_msk][x], dp[i][msk][x] + cost);
            }
        }
        for(int msk = sz; msk >= 0; --msk){
            for(auto [new_msk, cost] : adj[msk]){
                dp[i][new_msk][x] = min(dp[i][new_msk][x], dp[i][msk][x] + cost);
            }
        }

        for(int msk = 0; msk <= sz; ++msk){
            int y = a[i + 1] - '0';
            int id = F[y][msk];
            dp[i + 1][msk][id] = min(dp[i + 1][msk][id], dp[i][msk][x]);
        }
    }
    int ans = 1e9;
    for(int msk = 0; msk <= sz; ++msk) ans = min(ans, dp[n][msk][b[n]-'0']);
    cout << ans;
}
/*
10
1111001110
1010100111


*/

Compilation message

lamp.cpp:65:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   65 | main(){
      | ^~~~
lamp.cpp: In function 'int main()':
lamp.cpp:97:13: warning: unused variable 'res' [-Wunused-variable]
   97 |         int res = 0;
      |             ^~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 165200 KB Output is correct
2 Correct 37 ms 165200 KB Output is correct
3 Correct 40 ms 165312 KB Output is correct
4 Correct 36 ms 165368 KB Output is correct
5 Correct 37 ms 165200 KB Output is correct
6 Correct 40 ms 165236 KB Output is correct
7 Correct 38 ms 165204 KB Output is correct
8 Correct 39 ms 165200 KB Output is correct
9 Correct 45 ms 165200 KB Output is correct
10 Correct 41 ms 165204 KB Output is correct
11 Correct 45 ms 165204 KB Output is correct
12 Correct 39 ms 165396 KB Output is correct
13 Correct 40 ms 165204 KB Output is correct
14 Correct 39 ms 165268 KB Output is correct
15 Correct 42 ms 165216 KB Output is correct
16 Correct 40 ms 165204 KB Output is correct
17 Correct 38 ms 165200 KB Output is correct
18 Correct 38 ms 165404 KB Output is correct
19 Correct 40 ms 165212 KB Output is correct
20 Correct 37 ms 165212 KB Output is correct
21 Correct 41 ms 165200 KB Output is correct
22 Correct 37 ms 165288 KB Output is correct
23 Correct 48 ms 165200 KB Output is correct
24 Correct 42 ms 165200 KB Output is correct
25 Correct 38 ms 165204 KB Output is correct
26 Correct 39 ms 165184 KB Output is correct
27 Correct 39 ms 165204 KB Output is correct
28 Correct 40 ms 165204 KB Output is correct
29 Correct 37 ms 165200 KB Output is correct
30 Correct 38 ms 165204 KB Output is correct
31 Correct 43 ms 165204 KB Output is correct
32 Correct 36 ms 165248 KB Output is correct
33 Correct 43 ms 165208 KB Output is correct
34 Correct 42 ms 165200 KB Output is correct

Subtask #2
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 165200 KB Output is correct
2 Correct 37 ms 165200 KB Output is correct
3 Correct 40 ms 165312 KB Output is correct
4 Correct 36 ms 165368 KB Output is correct
5 Correct 37 ms 165200 KB Output is correct
6 Correct 40 ms 165236 KB Output is correct
7 Correct 38 ms 165204 KB Output is correct
8 Correct 39 ms 165200 KB Output is correct
9 Correct 45 ms 165200 KB Output is correct
10 Correct 41 ms 165204 KB Output is correct
11 Correct 45 ms 165204 KB Output is correct
12 Correct 39 ms 165396 KB Output is correct
13 Correct 40 ms 165204 KB Output is correct
14 Correct 39 ms 165268 KB Output is correct
15 Correct 42 ms 165216 KB Output is correct
16 Correct 40 ms 165204 KB Output is correct
17 Correct 38 ms 165200 KB Output is correct
18 Correct 38 ms 165404 KB Output is correct
19 Correct 40 ms 165212 KB Output is correct
20 Correct 37 ms 165212 KB Output is correct
21 Correct 41 ms 165200 KB Output is correct
22 Correct 37 ms 165288 KB Output is correct
23 Correct 48 ms 165200 KB Output is correct
24 Correct 42 ms 165200 KB Output is correct
25 Correct 38 ms 165204 KB Output is correct
26 Correct 39 ms 165184 KB Output is correct
27 Correct 39 ms 165204 KB Output is correct
28 Correct 40 ms 165204 KB Output is correct
29 Correct 37 ms 165200 KB Output is correct
30 Correct 38 ms 165204 KB Output is correct
31 Correct 43 ms 165204 KB Output is correct
32 Correct 36 ms 165248 KB Output is correct
33 Correct 43 ms 165208 KB Output is correct
34 Correct 42 ms 165200 KB Output is correct
35 Correct 37 ms 165212 KB Output is correct
36 Correct 41 ms 165280 KB Output is correct
37 Correct 46 ms 165312 KB Output is correct
38 Correct 43 ms 165204 KB Output is correct
39 Correct 43 ms 165416 KB Output is correct
40 Correct 39 ms 165212 KB Output is correct
41 Correct 38 ms 165224 KB Output is correct
42 Correct 41 ms 165224 KB Output is correct
43 Correct 42 ms 165200 KB Output is correct
44 Correct 41 ms 165252 KB Output is correct
45 Correct 40 ms 165200 KB Output is correct
46 Correct 41 ms 165200 KB Output is correct
47 Correct 38 ms 165200 KB Output is correct
48 Correct 38 ms 165332 KB Output is correct
49 Correct 39 ms 165200 KB Output is correct
50 Correct 37 ms 165200 KB Output is correct
51 Correct 43 ms 165204 KB Output is correct
52 Correct 37 ms 165268 KB Output is correct
53 Correct 40 ms 165200 KB Output is correct
54 Correct 42 ms 165200 KB Output is correct
55 Correct 48 ms 165200 KB Output is correct
56 Correct 37 ms 165204 KB Output is correct
57 Correct 48 ms 165204 KB Output is correct
58 Correct 39 ms 165388 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 165200 KB Output is correct
2 Correct 44 ms 165176 KB Output is correct
3 Correct 41 ms 165204 KB Output is correct
4 Correct 45 ms 165200 KB Output is correct
5 Correct 39 ms 165212 KB Output is correct
6 Correct 47 ms 165200 KB Output is correct
7 Correct 261 ms 167264 KB Output is correct
8 Correct 234 ms 167152 KB Output is correct
9 Correct 226 ms 167168 KB Output is correct
10 Correct 254 ms 167156 KB Output is correct
11 Correct 238 ms 167188 KB Output is correct
12 Correct 237 ms 167164 KB Output is correct
13 Correct 234 ms 167152 KB Output is correct
14 Correct 246 ms 167160 KB Output is correct

Subtask #4
49.0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 165200 KB Output is correct
2 Correct 37 ms 165200 KB Output is correct
3 Correct 40 ms 165312 KB Output is correct
4 Correct 36 ms 165368 KB Output is correct
5 Correct 37 ms 165200 KB Output is correct
6 Correct 40 ms 165236 KB Output is correct
7 Correct 38 ms 165204 KB Output is correct
8 Correct 39 ms 165200 KB Output is correct
9 Correct 45 ms 165200 KB Output is correct
10 Correct 41 ms 165204 KB Output is correct
11 Correct 45 ms 165204 KB Output is correct
12 Correct 39 ms 165396 KB Output is correct
13 Correct 40 ms 165204 KB Output is correct
14 Correct 39 ms 165268 KB Output is correct
15 Correct 42 ms 165216 KB Output is correct
16 Correct 40 ms 165204 KB Output is correct
17 Correct 38 ms 165200 KB Output is correct
18 Correct 38 ms 165404 KB Output is correct
19 Correct 40 ms 165212 KB Output is correct
20 Correct 37 ms 165212 KB Output is correct
21 Correct 41 ms 165200 KB Output is correct
22 Correct 37 ms 165288 KB Output is correct
23 Correct 48 ms 165200 KB Output is correct
24 Correct 42 ms 165200 KB Output is correct
25 Correct 38 ms 165204 KB Output is correct
26 Correct 39 ms 165184 KB Output is correct
27 Correct 39 ms 165204 KB Output is correct
28 Correct 40 ms 165204 KB Output is correct
29 Correct 37 ms 165200 KB Output is correct
30 Correct 38 ms 165204 KB Output is correct
31 Correct 43 ms 165204 KB Output is correct
32 Correct 36 ms 165248 KB Output is correct
33 Correct 43 ms 165208 KB Output is correct
34 Correct 42 ms 165200 KB Output is correct
35 Correct 37 ms 165212 KB Output is correct
36 Correct 41 ms 165280 KB Output is correct
37 Correct 46 ms 165312 KB Output is correct
38 Correct 43 ms 165204 KB Output is correct
39 Correct 43 ms 165416 KB Output is correct
40 Correct 39 ms 165212 KB Output is correct
41 Correct 38 ms 165224 KB Output is correct
42 Correct 41 ms 165224 KB Output is correct
43 Correct 42 ms 165200 KB Output is correct
44 Correct 41 ms 165252 KB Output is correct
45 Correct 40 ms 165200 KB Output is correct
46 Correct 41 ms 165200 KB Output is correct
47 Correct 38 ms 165200 KB Output is correct
48 Correct 38 ms 165332 KB Output is correct
49 Correct 39 ms 165200 KB Output is correct
50 Correct 37 ms 165200 KB Output is correct
51 Correct 43 ms 165204 KB Output is correct
52 Correct 37 ms 165268 KB Output is correct
53 Correct 40 ms 165200 KB Output is correct
54 Correct 42 ms 165200 KB Output is correct
55 Correct 48 ms 165200 KB Output is correct
56 Correct 37 ms 165204 KB Output is correct
57 Correct 48 ms 165204 KB Output is correct
58 Correct 39 ms 165388 KB Output is correct
59 Correct 39 ms 165200 KB Output is correct
60 Correct 44 ms 165176 KB Output is correct
61 Correct 41 ms 165204 KB Output is correct
62 Correct 45 ms 165200 KB Output is correct
63 Correct 39 ms 165212 KB Output is correct
64 Correct 47 ms 165200 KB Output is correct
65 Correct 261 ms 167264 KB Output is correct
66 Correct 234 ms 167152 KB Output is correct
67 Correct 226 ms 167168 KB Output is correct
68 Correct 254 ms 167156 KB Output is correct
69 Correct 238 ms 167188 KB Output is correct
70 Correct 237 ms 167164 KB Output is correct
71 Correct 234 ms 167152 KB Output is correct
72 Correct 246 ms 167160 KB Output is correct
73 Correct 231 ms 167376 KB Output is correct
74 Correct 233 ms 167160 KB Output is correct
75 Correct 241 ms 167160 KB Output is correct
76 Correct 244 ms 167152 KB Output is correct
77 Correct 232 ms 167156 KB Output is correct
78 Correct 234 ms 167168 KB Output is correct
79 Correct 224 ms 167156 KB Output is correct
80 Correct 230 ms 167164 KB Output is correct
81 Correct 268 ms 167164 KB Output is correct
82 Correct 252 ms 167276 KB Output is correct
83 Correct 228 ms 167156 KB Output is correct
84 Correct 231 ms 167152 KB Output is correct
85 Correct 238 ms 167156 KB Output is correct
86 Correct 233 ms 167156 KB Output is correct
87 Correct 229 ms 167160 KB Output is correct
88 Correct 236 ms 167172 KB Output is correct
89 Correct 236 ms 167160 KB Output is correct
90 Correct 239 ms 167272 KB Output is correct
91 Correct 255 ms 167156 KB Output is correct
92 Correct 238 ms 167192 KB Output is correct
93 Correct 245 ms 167156 KB Output is correct
94 Correct 237 ms 167184 KB Output is correct
95 Correct 232 ms 167152 KB Output is correct
96 Correct 238 ms 167160 KB Output is correct
97 Correct 226 ms 167160 KB Output is correct
98 Correct 237 ms 167156 KB Output is correct
99 Correct 233 ms 167168 KB Output is correct
100 Correct 221 ms 167172 KB Output is correct
101 Correct 221 ms 167164 KB Output is correct
102 Correct 228 ms 167164 KB Output is correct