제출 #392093

#제출 시각아이디문제언어결과실행 시간메모리
392093qwerasdfzxclLamps (JOI19_lamps)C++14
4 / 100
16 ms10268 KiB
#include <bits/stdc++.h>

typedef long long ll;
using namespace std;
string x, y;
int dp[1001000][2];

int main(){
    cin.tie(NULL);
    ios_base::sync_with_stdio(false);
    int n;
    cin >> n >> x >> y;
    int pt[2] = {-2, -2}, pt2=-2;
    if (x[0]!=y[0]) dp[0][0]=1, pt2=0;
    dp[0][1] = 1;
    pt[y[0]-'0']=0;
    for (int i=1;i<n;i++){
        if (x[i]==y[i]) dp[i][0]=min(dp[i-1][0], dp[i-1][1]);
        else{
            if (x[i-1]!=y[i-1]) dp[i][0] = min(dp[i-1][0], dp[i-1][1]+1);
            else if (pt2==-2) dp[i][0] = min(dp[i-1][0], dp[i-1][1])+1;
            else dp[i][0] = min(min(dp[i-1][0], dp[i-1][1]), dp[pt2][0])+1;
            pt2=i;
        }
        if (y[i-1]==y[i]) dp[i][1] = min(dp[i-1][1], dp[i-1][0]+1), pt[y[i]-'0']=i;
        else{
            if (pt[y[i]-'0']==-2) dp[i][1] = min(dp[i-1][0], dp[i-1][1])+1;
            else dp[i][1] = min(min(dp[i-1][0], dp[i-1][1]), dp[pt[y[i]-'0']][1])+1;
            pt[y[i]-'0']=i;
        }
    }
    /*for (int i=0;i<n;i++) cout << dp[i][0] << ' ';
    cout << '\n';
    for (int i=0;i<n;i++) cout << dp[i][1] << ' ';
    cout << '\n';*/
    for (int i=1;i<n;i++){
        assert(min(dp[i][0], dp[i][1])-min(dp[i-1][0], dp[i-1][1])<=1);
        assert(dp[i][0]-dp[i-1][0]<=1);
        assert(dp[i][1]-dp[i-1][1]<=1);
        assert(min(dp[i][0], dp[i][1])-min(dp[i-1][0], dp[i-1][1])>=0);
        //assert(dp[i][0]-dp[i-1][0]>=0);
        assert(dp[i][1]-dp[i-1][1]>=0);
        assert(dp[i][1]-dp[i][0]<=1);
    }
    cout << min(dp[n-1][0], dp[n-1][1]);
    return 0;
}
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