Submission #1083015

#TimeUsernameProblemLanguageResultExecution timeMemory
1083015steveonalexLamps (JOI19_lamps)C++17
100 / 100
190 ms5820 KiB
#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
#define block_of_code if(true)
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
 
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
 
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
    double cur = rngesus(0, MASK(60) - 1);
    cur /= MASK(60) - 1;
    return l + cur * (r - l);
}
 
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }
 
template <class T>
    void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }
 
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

int n;
string s1, s2;
int dp[2][16];
const int INF = 1e9 + 69;

int main(void){
    ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
    clock_t start = clock();

    vector<vector<int>> S;
    vector<int> perm(3);
    for(int i = 0; i<3; ++i) perm[i] = i;
    do{
        vector<int> cur;
        for(int i: perm){
            cur.push_back(i);
            S.push_back(cur);
        }
    } while(next_permutation(ALL(perm)));
    S.push_back({});
    remove_dup(S);

    int kost[S.size()][S.size()];
    for(int i = 0; i < (int)S.size(); ++i) for(int j = 0; j < (int)S.size(); ++j){
        vector<int> s1 = S[i], s2 = S[j];
        int x = s1.size(), y = s2.size();
        int dp[x+1][y+1];
        memset(dp, 0, sizeof dp);
        for(int i = 1; i<=x; ++i) for(int j = 1; j<=y; ++j){
            dp[i][j] = max(dp[i-1][j], dp[i][j-1]);
            if (s1[i-1] == s2[j-1]) dp[i][j] = dp[i-1][j-1] + 1;
        }
        kost[i][j] = s2.size() - dp[x][y];
    }

    int transition[S.size()][2];
    for(int i = 0; i < (int)S.size(); ++i) for(int j = 0; j <= 1; ++j){
        int cur =j;
        for(int k: S[i]){
            if (k == 0) cur ^= 1;
            if (k == 1) cur = 0;
            if (k == 2) cur = 1;
        }
        transition[i][j] = cur;
    }

    cin >> n;
    cin >> s1 >> s2;
    s1 = "0" + s1;
    s2 = "0" + s2;

    fill(dp[0], dp[1] + 16, INF);
    dp[0][0] = 0;
    for(int i = 1; i<=n; ++i){
        int digit1 = s1[i] - '0', digit2 = s2[i] - '0';
        for(int j = 0; j < 16; ++j) if (dp[0][j] != INF) {
            for(int k = 0; k < 16; ++k) if (transition[k][digit1] == digit2){
                minimize(dp[1][k], dp[0][j] + kost[j][k]);
            }
        }
        for(int j = 0; j < 16; ++j){
            // if (dp[1][j] != INF) cout << i << " " << j << " " << dp[1][j] << "\n";
            dp[0][j] = dp[1][j];
            dp[1][j] = INF;
        }
    }

    int ans = INF;
    for(int i = 0; i<16; ++i) minimize(ans, dp[0][i]);

    cout << ans << "\n";


    cerr << "Time elapsed: " << clock() - start << " ms\n";
    return 0;
}
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