Submission #412116

#TimeUsernameProblemLanguageResultExecution timeMemory
412116nathanlee726Lamps (JOI19_lamps)C++14
100 / 100
157 ms27848 KiB
//#include<i_am_noob_orz>
#include<bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
using namespace std;
#define ll long long
#define int ll
#define ull unsigned long long
#define pii pair<int,int>
#define X first
#define Y second
#define mod ((ll)1e9+7)
#define pb push_back
#define mp make_pair
#define abs(x) ((x)>0?(x):(-(x)))
#define F(n) Fi(i,n)
#define Fi(i,n) Fl(i,0,n)
#define Fl(i,l,n) for(int i=l;i<n;i++)
#define memres(a) memset(a,0,sizeof(a))
#define all(a) a.begin(),a.end()
#define sz(a) ((int)a.size())
#define ceiling(a,b) (((a)+(b)-1)/(b))
#define endl '\n'
#define bit_count(x) __builtin_popcountll((x))
#define ykh mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define jimmy_is_kind false
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> rbtree;
 
//#define LOCAL
#ifdef LOCAL
#define bug(...) cerr<<"#"<<__LINE__<<' '<<#__VA_ARGS__<<"- ", _do(__VA_ARGS__)
template<typename T> void _do(T && x) {cerr<<x<<endl;}
template<typename T, typename ...S> void _do(T && x, S&&...y) {cerr<<x<<", "; _do(y...);}
#define IOS()
#else
#define IOS() ios_base::sync_with_stdio(0), cin.tie(0)
#define endl '\n'
#define bug(...)
#endif
 
int add(int a,int b){return(a+b>=mod?a+b-mod:a+b);}
int sub(int a,int b){return(a<b?a+mod-b:a-b);}
int po(int a,int b){
	if(b==0)return 1;
	if(b==1)return(a%mod);
	int tem=po(a,b/2);
	if(b&1)return(((tem*tem)%mod)*a)%mod;
	else return(tem*tem)%mod; 
}
int GCD(int a,int b){
	int x=0;
	int ra,rb;
	while(a&&b){
		if(((a&1)==0)&&((b&1)==0)){
			a>>=1,b>>=1,x++;
		}
		else if((a^b)&1){
			if(a&1)b>>=1;
			else a>>=1;
		}
		else{
			ra=abs(a-b),rb=min(a,b);
			a=ra,b=rb;
		}
	}
	return max(a,b)<<x;
}
int gcd(int a,int b){if(b==0)return a;return gcd(b,a%b);}
int n,dp[1000010][3];
signed main(){
	IOS();
	int n;
	cin>>n;
	string s1,s2;
	cin>>s1>>s2;
	dp[0][2]=(s1[0]!=s2[0]);
	dp[0][0]=1+(s2[0]=='1');
	dp[0][1]=1+(s2[0]=='0');
	F(3)bug(dp[0][i]);
	Fl(i,1,n){
		Fi(j,3)dp[i][j]=1e18;
		if(s2[i-1]!='0'){
			dp[i][0]=min(dp[i][0],dp[i-1][0]);
			dp[i][1]=min(dp[i][1],dp[i-1][0]+1);
			dp[i][2]=min(dp[i][2],dp[i-1][0]);
		}
		else{
			dp[i][0]=min(dp[i][0],dp[i-1][0]+(s2[i]=='1'));
			dp[i][1]=min(dp[i][1],1+dp[i-1][0]+(s2[i]=='0'));
			dp[i][2]=min(dp[i][2],dp[i-1][0]+(s1[i]!=s2[i]));			
		}
		if(s2[i-1]!='1'){
			dp[i][0]=min(dp[i][0],dp[i-1][1]+1);
			dp[i][1]=min(dp[i][1],dp[i-1][1]);
			dp[i][2]=min(dp[i][2],dp[i-1][1]);
		}
		else{
			dp[i][0]=min(dp[i][0],1+dp[i-1][1]+(s2[i]=='1'));
			dp[i][1]=min(dp[i][1],dp[i-1][1]+(s2[i]=='0'));
			dp[i][2]=min(dp[i][2],dp[i-1][1]+(s1[i]!=s2[i]));			
		}
		if(s1[i-1]!=s2[i-1]){
			dp[i][0]=min(dp[i][0],dp[i-1][2]+1);
			dp[i][1]=min(dp[i][1],dp[i-1][2]+1);
			dp[i][2]=min(dp[i][2],dp[i-1][2]);
		}
		else{
			dp[i][0]=min(dp[i][0],1+dp[i-1][2]+(s2[i]=='1'));
			dp[i][1]=min(dp[i][1],1+dp[i-1][2]+(s2[i]=='0'));
			dp[i][2]=min(dp[i][2],dp[i-1][2]+(s1[i]!=s2[i]));
		}
		Fi(j,3)bug(dp[i][j]);
	}
	int ans=1e18;
	F(3)ans=min(dp[n-1][i],ans);
	cout<<ans<<endl;
	return 0;
}
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