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Submission #1082465

# Submission time Handle Problem Language Result Execution time Memory
1082465 2024-08-31T12:07:51 Z phong Lamps (JOI19_lamps) C++17
100 / 100
 266 ms 169540 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;
    }
}
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;
    vector<int> v;
    for(int i = 1; i <= 3; ++i){
        v.push_back(i);
        do{
            add(v);
        }
        while(next_permutation(v.begin(), v.end()));
        v.clear();
    }
    for(int i = 1; i <= 3; ++i){
        for(int j = i + 1; j <= 3; ++j){
            v.push_back(i); v.push_back(j);
            do{
                add(v);
            }
            while(next_permutation(v.begin(), v.end()));
            v.clear();
        }
    }
    for(int i = 1; i <= 3; ++i) v.push_back(i);
    do{
        add(v);
    }
    while(next_permutation(v.begin(), v.end()));
    v.clear();

    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:47:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   47 | main(){
      | ^~~~
lamp.cpp: In function 'int main()':
lamp.cpp:104:13: warning: unused variable 'res' [-Wunused-variable]
  104 |         int res = 0;
      |             ^~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 41 ms 165500 KB Output is correct
2 Correct 40 ms 165452 KB Output is correct
3 Correct 38 ms 165564 KB Output is correct
4 Correct 43 ms 165460 KB Output is correct
5 Correct 40 ms 165464 KB Output is correct
6 Correct 40 ms 165456 KB Output is correct
7 Correct 39 ms 165460 KB Output is correct
8 Correct 41 ms 165360 KB Output is correct
9 Correct 41 ms 165456 KB Output is correct
10 Correct 44 ms 165460 KB Output is correct
11 Correct 39 ms 165460 KB Output is correct
12 Correct 41 ms 165464 KB Output is correct
13 Correct 43 ms 165456 KB Output is correct
14 Correct 43 ms 165460 KB Output is correct
15 Correct 42 ms 165436 KB Output is correct
16 Correct 40 ms 165464 KB Output is correct
17 Correct 40 ms 165560 KB Output is correct
18 Correct 41 ms 165464 KB Output is correct
19 Correct 42 ms 165436 KB Output is correct
20 Correct 45 ms 165392 KB Output is correct
21 Correct 40 ms 165456 KB Output is correct
22 Correct 38 ms 165456 KB Output is correct
23 Correct 41 ms 165464 KB Output is correct
24 Correct 41 ms 165460 KB Output is correct
25 Correct 41 ms 165456 KB Output is correct
26 Correct 41 ms 165456 KB Output is correct
27 Correct 40 ms 165460 KB Output is correct
28 Correct 42 ms 165564 KB Output is correct
29 Correct 49 ms 165456 KB Output is correct
30 Correct 40 ms 165460 KB Output is correct
31 Correct 42 ms 165460 KB Output is correct
32 Correct 43 ms 165460 KB Output is correct
33 Correct 41 ms 165456 KB Output is correct
34 Correct 46 ms 165712 KB Output is correct

Subtask #2
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 41 ms 165500 KB Output is correct
2 Correct 40 ms 165452 KB Output is correct
3 Correct 38 ms 165564 KB Output is correct
4 Correct 43 ms 165460 KB Output is correct
5 Correct 40 ms 165464 KB Output is correct
6 Correct 40 ms 165456 KB Output is correct
7 Correct 39 ms 165460 KB Output is correct
8 Correct 41 ms 165360 KB Output is correct
9 Correct 41 ms 165456 KB Output is correct
10 Correct 44 ms 165460 KB Output is correct
11 Correct 39 ms 165460 KB Output is correct
12 Correct 41 ms 165464 KB Output is correct
13 Correct 43 ms 165456 KB Output is correct
14 Correct 43 ms 165460 KB Output is correct
15 Correct 42 ms 165436 KB Output is correct
16 Correct 40 ms 165464 KB Output is correct
17 Correct 40 ms 165560 KB Output is correct
18 Correct 41 ms 165464 KB Output is correct
19 Correct 42 ms 165436 KB Output is correct
20 Correct 45 ms 165392 KB Output is correct
21 Correct 40 ms 165456 KB Output is correct
22 Correct 38 ms 165456 KB Output is correct
23 Correct 41 ms 165464 KB Output is correct
24 Correct 41 ms 165460 KB Output is correct
25 Correct 41 ms 165456 KB Output is correct
26 Correct 41 ms 165456 KB Output is correct
27 Correct 40 ms 165460 KB Output is correct
28 Correct 42 ms 165564 KB Output is correct
29 Correct 49 ms 165456 KB Output is correct
30 Correct 40 ms 165460 KB Output is correct
31 Correct 42 ms 165460 KB Output is correct
32 Correct 43 ms 165460 KB Output is correct
33 Correct 41 ms 165456 KB Output is correct
34 Correct 46 ms 165712 KB Output is correct
35 Correct 44 ms 165552 KB Output is correct
36 Correct 40 ms 165452 KB Output is correct
37 Correct 38 ms 165456 KB Output is correct
38 Correct 38 ms 165392 KB Output is correct
39 Correct 42 ms 165612 KB Output is correct
40 Correct 38 ms 165468 KB Output is correct
41 Correct 38 ms 165460 KB Output is correct
42 Correct 41 ms 165460 KB Output is correct
43 Correct 40 ms 165468 KB Output is correct
44 Correct 40 ms 165712 KB Output is correct
45 Correct 39 ms 165596 KB Output is correct
46 Correct 43 ms 165492 KB Output is correct
47 Correct 47 ms 165520 KB Output is correct
48 Correct 43 ms 165456 KB Output is correct
49 Correct 43 ms 165456 KB Output is correct
50 Correct 42 ms 165460 KB Output is correct
51 Correct 42 ms 165392 KB Output is correct
52 Correct 41 ms 165460 KB Output is correct
53 Correct 43 ms 165456 KB Output is correct
54 Correct 43 ms 165516 KB Output is correct
55 Correct 41 ms 165464 KB Output is correct
56 Correct 39 ms 165480 KB Output is correct
57 Correct 40 ms 165460 KB Output is correct
58 Correct 43 ms 165456 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 165404 KB Output is correct
2 Correct 42 ms 165460 KB Output is correct
3 Correct 44 ms 165464 KB Output is correct
4 Correct 40 ms 165460 KB Output is correct
5 Correct 45 ms 165448 KB Output is correct
6 Correct 46 ms 165364 KB Output is correct
7 Correct 220 ms 167416 KB Output is correct
8 Correct 226 ms 167528 KB Output is correct
9 Correct 242 ms 169164 KB Output is correct
10 Correct 228 ms 169232 KB Output is correct
11 Correct 224 ms 169208 KB Output is correct
12 Correct 266 ms 169324 KB Output is correct
13 Correct 229 ms 169216 KB Output is correct
14 Correct 240 ms 169340 KB Output is correct

Subtask #4
49.0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 41 ms 165500 KB Output is correct
2 Correct 40 ms 165452 KB Output is correct
3 Correct 38 ms 165564 KB Output is correct
4 Correct 43 ms 165460 KB Output is correct
5 Correct 40 ms 165464 KB Output is correct
6 Correct 40 ms 165456 KB Output is correct
7 Correct 39 ms 165460 KB Output is correct
8 Correct 41 ms 165360 KB Output is correct
9 Correct 41 ms 165456 KB Output is correct
10 Correct 44 ms 165460 KB Output is correct
11 Correct 39 ms 165460 KB Output is correct
12 Correct 41 ms 165464 KB Output is correct
13 Correct 43 ms 165456 KB Output is correct
14 Correct 43 ms 165460 KB Output is correct
15 Correct 42 ms 165436 KB Output is correct
16 Correct 40 ms 165464 KB Output is correct
17 Correct 40 ms 165560 KB Output is correct
18 Correct 41 ms 165464 KB Output is correct
19 Correct 42 ms 165436 KB Output is correct
20 Correct 45 ms 165392 KB Output is correct
21 Correct 40 ms 165456 KB Output is correct
22 Correct 38 ms 165456 KB Output is correct
23 Correct 41 ms 165464 KB Output is correct
24 Correct 41 ms 165460 KB Output is correct
25 Correct 41 ms 165456 KB Output is correct
26 Correct 41 ms 165456 KB Output is correct
27 Correct 40 ms 165460 KB Output is correct
28 Correct 42 ms 165564 KB Output is correct
29 Correct 49 ms 165456 KB Output is correct
30 Correct 40 ms 165460 KB Output is correct
31 Correct 42 ms 165460 KB Output is correct
32 Correct 43 ms 165460 KB Output is correct
33 Correct 41 ms 165456 KB Output is correct
34 Correct 46 ms 165712 KB Output is correct
35 Correct 44 ms 165552 KB Output is correct
36 Correct 40 ms 165452 KB Output is correct
37 Correct 38 ms 165456 KB Output is correct
38 Correct 38 ms 165392 KB Output is correct
39 Correct 42 ms 165612 KB Output is correct
40 Correct 38 ms 165468 KB Output is correct
41 Correct 38 ms 165460 KB Output is correct
42 Correct 41 ms 165460 KB Output is correct
43 Correct 40 ms 165468 KB Output is correct
44 Correct 40 ms 165712 KB Output is correct
45 Correct 39 ms 165596 KB Output is correct
46 Correct 43 ms 165492 KB Output is correct
47 Correct 47 ms 165520 KB Output is correct
48 Correct 43 ms 165456 KB Output is correct
49 Correct 43 ms 165456 KB Output is correct
50 Correct 42 ms 165460 KB Output is correct
51 Correct 42 ms 165392 KB Output is correct
52 Correct 41 ms 165460 KB Output is correct
53 Correct 43 ms 165456 KB Output is correct
54 Correct 43 ms 165516 KB Output is correct
55 Correct 41 ms 165464 KB Output is correct
56 Correct 39 ms 165480 KB Output is correct
57 Correct 40 ms 165460 KB Output is correct
58 Correct 43 ms 165456 KB Output is correct
59 Correct 42 ms 165404 KB Output is correct
60 Correct 42 ms 165460 KB Output is correct
61 Correct 44 ms 165464 KB Output is correct
62 Correct 40 ms 165460 KB Output is correct
63 Correct 45 ms 165448 KB Output is correct
64 Correct 46 ms 165364 KB Output is correct
65 Correct 220 ms 167416 KB Output is correct
66 Correct 226 ms 167528 KB Output is correct
67 Correct 242 ms 169164 KB Output is correct
68 Correct 228 ms 169232 KB Output is correct
69 Correct 224 ms 169208 KB Output is correct
70 Correct 266 ms 169324 KB Output is correct
71 Correct 229 ms 169216 KB Output is correct
72 Correct 240 ms 169340 KB Output is correct
73 Correct 234 ms 169464 KB Output is correct
74 Correct 230 ms 169400 KB Output is correct
75 Correct 262 ms 169384 KB Output is correct
76 Correct 221 ms 169460 KB Output is correct
77 Correct 225 ms 169456 KB Output is correct
78 Correct 232 ms 169468 KB Output is correct
79 Correct 227 ms 169468 KB Output is correct
80 Correct 238 ms 169464 KB Output is correct
81 Correct 224 ms 169436 KB Output is correct
82 Correct 228 ms 169316 KB Output is correct
83 Correct 225 ms 169408 KB Output is correct
84 Correct 222 ms 169400 KB Output is correct
85 Correct 255 ms 169424 KB Output is correct
86 Correct 228 ms 169456 KB Output is correct
87 Correct 236 ms 169460 KB Output is correct
88 Correct 230 ms 169456 KB Output is correct
89 Correct 236 ms 169472 KB Output is correct
90 Correct 234 ms 169456 KB Output is correct
91 Correct 237 ms 169400 KB Output is correct
92 Correct 233 ms 169376 KB Output is correct
93 Correct 223 ms 169260 KB Output is correct
94 Correct 230 ms 169540 KB Output is correct
95 Correct 223 ms 169408 KB Output is correct
96 Correct 229 ms 169456 KB Output is correct
97 Correct 231 ms 169464 KB Output is correct
98 Correct 223 ms 169484 KB Output is correct
99 Correct 248 ms 169468 KB Output is correct
100 Correct 222 ms 169452 KB Output is correct
101 Correct 217 ms 169356 KB Output is correct
102 Correct 227 ms 169324 KB Output is correct