#include <bits/stdc++.h>
using namespace std;
#define int ll
#define FOR(i,s,e) for(ll i = s; i <= (ll)e; ++i)
#define DEC(i,s,e) for(ll i = s; i >= (ll)e; --i)
#define IAMSPEED ios_base::sync_with_stdio(false); cin.tie(0);
#ifdef LOCAL
#define db(x) cerr << #x << "=" << x << "\n"
#define db2(x, y) cerr << #x << "=" << x << " , " << #y << "=" << y << "\n"
#define db3(a,b,c) cerr<<#a<<"="<<a<<","<<#b<<"="<<b<<","<<#c<<"="<<c<<"\n"
#define dbv(v) cerr << #v << ":"; for (auto ite : v) cerr << ite << ' '; cerr <<"\n"
#define dbvp(v) cerr << #v << ":"; for (auto ite : v) cerr << "{" << ite.f << ',' << ite.s << "} "; cerr << "\n"
#define dba(a,ss,ee) cerr << #a << ":"; FOR(ite,ss,ee) cerr << a[ite] << ' '; cerr << "\n"
#define reach cerr << "LINE: " << __LINE__ << "\n";
#else
#define db(x)
#define db2(x,y)
#define db3(a,b,c)
#define dbv(v)
#define dbvp(v)
#define dba(a,ss,ee)
#define reach
#endif
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define ll long long
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define f first
#define s second
#define g0(x) get<0>(x)
#define g1(x) get<1>(x)
#define g2(x) get<2>(x)
#define g3(x) get<3>(x)
typedef pair <ll, ll> pi;
typedef tuple<ll,ll,ll> ti3;
typedef tuple<ll,ll,ll,ll> ti4;
ll rand(ll a, ll b) { return a + rng() % (b-a+1); }
const int MOD = 1e9 + 7;
const int inf = (int)1e9 + 500;
const long long oo = (ll)1e18 + 500;
template <typename T> void chmax(T& a, const T b) { a=max(a,b); }
template <typename T> void chmin(T& a, const T b) { a=min(a,b); }
const int MAXN = 1000005;
int n;
char A[MAXN];
char B[MAXN];
int dp[MAXN][3][2]; // {idx, operation 1/2, whether i want to flip}
int32_t main()
{
IAMSPEED
cin >> n;
FOR(i,1,n) cin >> A[i];
FOR(i,1,n) cin >> B[i];
FOR(i,0,MAXN-1)FOR(j,0,2)FOR(k,0,1)dp[i][j][k]=oo;
dp[0][0][0] = 0ll;
FOR(i,1,n) {
// do nothing
if(A[i] == B[i])dp[i][0][0] = min({dp[i-1][0][0], dp[i-1][0][1], dp[i-1][1][0], dp[i-1][1][1], dp[i-1][2][0], dp[i-1][2][1]});
//flip
if(A[i] != B[i]){
//reach
dp[i][0][1] = min({dp[i-1][0][0] + 1, dp[i-1][0][1], dp[i-1][1][0] + 1, dp[i-1][1][1], dp[i-1][2][0] + 1, dp[i-1][2][1]});
//db2(i-1,dp[i-1][0][0]);
}
//set to 0
if(B[i] == '0') dp[i][1][0] = min({dp[i-1][0][0] + 1, dp[i-1][0][1] + 1, dp[i-1][1][0], dp[i-1][1][1], dp[i-1][2][0] + 1, dp[i-1][2][1] + 1});
//set to 0 and flip
if(B[i] == '0') { //flip FIRST, then set
chmin(dp[i][1][1], dp[i-1][0][0] + 2);
chmin(dp[i][1][1], dp[i-1][0][1] + 1);
chmin(dp[i][1][1], dp[i-1][1][0] + 1);
if(B[i-1] == '0')chmin(dp[i][1][1], dp[i-1][1][1]);
else chmin(dp[i][1][1], dp[i-1][1][1] + 2);
chmin(dp[i][1][1], dp[i-1][2][0] + 2);
chmin(dp[i][1][1], dp[i-1][2][1] + 1);
} else { // set FIRST, then FLIP
chmin(dp[i][1][1], dp[i-1][0][0] + 2);
chmin(dp[i][1][1], dp[i-1][0][1] + 1);
chmin(dp[i][1][1], dp[i-1][1][0] + 1);
if(B[i-1] == '1')chmin(dp[i][1][1], dp[i-1][1][1]);
else chmin(dp[i][1][1], dp[i-1][1][1] + 2);
chmin(dp[i][1][1], dp[i-1][2][0] + 2);
chmin(dp[i][1][1], dp[i-1][2][1] + 1);
}
//set to 1
if(B[i] == '1') dp[i][2][0] = min({dp[i-1][0][0] + 1, dp[i-1][0][1] + 1, dp[i-1][1][0] + 1, dp[i-1][1][1] + 1, dp[i-1][2][0], dp[i-1][2][1]});
//set to 1 and flip
if(B[i] == '1') { //flip FIRST, then set
chmin(dp[i][2][1], dp[i-1][0][0] + 2);
chmin(dp[i][2][1], dp[i-1][0][1] + 1);
chmin(dp[i][2][1], dp[i-1][2][0] + 1);
if(B[i-1] == '1')chmin(dp[i][2][1], dp[i-1][2][1]);
else chmin(dp[i][2][1], dp[i-1][2][1] + 2);
chmin(dp[i][2][1], dp[i-1][1][0] + 2);
chmin(dp[i][2][1], dp[i-1][1][1] + 1);
} else { // set FIRST, then FLIP
chmin(dp[i][2][1], dp[i-1][0][0] + 2);
chmin(dp[i][2][1], dp[i-1][0][1] + 1);
chmin(dp[i][2][1], dp[i-1][2][0] + 1);
if(B[i-1] == '0')chmin(dp[i][2][1], dp[i-1][2][1]);
else chmin(dp[i][2][1], dp[i-1][2][1] + 2);
chmin(dp[i][2][1], dp[i-1][1][0] + 2);
chmin(dp[i][2][1], dp[i-1][1][1] + 1);
}
FOR(a,0,2) {
FOR(b,0,1) {
db(i);
db3(dp[i][a][b], a, b);
}
}
}
int res = oo;
FOR(i,0,2)FOR(j,0,1)chmin(res,dp[n][i][j]);
cout << res;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
20 ms |
47188 KB |
Output is correct |
2 |
Correct |
19 ms |
47272 KB |
Output is correct |
3 |
Correct |
21 ms |
47192 KB |
Output is correct |
4 |
Correct |
22 ms |
47212 KB |
Output is correct |
5 |
Correct |
20 ms |
47284 KB |
Output is correct |
6 |
Correct |
20 ms |
47188 KB |
Output is correct |
7 |
Correct |
20 ms |
47208 KB |
Output is correct |
8 |
Correct |
25 ms |
47208 KB |
Output is correct |
9 |
Correct |
22 ms |
47272 KB |
Output is correct |
10 |
Correct |
22 ms |
47200 KB |
Output is correct |
11 |
Correct |
22 ms |
47280 KB |
Output is correct |
12 |
Correct |
20 ms |
47196 KB |
Output is correct |
13 |
Correct |
21 ms |
47260 KB |
Output is correct |
14 |
Correct |
20 ms |
47248 KB |
Output is correct |
15 |
Correct |
20 ms |
47188 KB |
Output is correct |
16 |
Correct |
21 ms |
47296 KB |
Output is correct |
17 |
Correct |
20 ms |
47308 KB |
Output is correct |
18 |
Correct |
22 ms |
47208 KB |
Output is correct |
19 |
Correct |
20 ms |
47188 KB |
Output is correct |
20 |
Correct |
20 ms |
47240 KB |
Output is correct |
21 |
Correct |
22 ms |
47228 KB |
Output is correct |
22 |
Correct |
20 ms |
47280 KB |
Output is correct |
23 |
Correct |
20 ms |
47224 KB |
Output is correct |
24 |
Correct |
19 ms |
47188 KB |
Output is correct |
25 |
Correct |
24 ms |
47188 KB |
Output is correct |
26 |
Correct |
23 ms |
47276 KB |
Output is correct |
27 |
Correct |
20 ms |
47188 KB |
Output is correct |
28 |
Correct |
24 ms |
47288 KB |
Output is correct |
29 |
Correct |
20 ms |
47180 KB |
Output is correct |
30 |
Correct |
21 ms |
47188 KB |
Output is correct |
31 |
Correct |
20 ms |
47196 KB |
Output is correct |
32 |
Correct |
21 ms |
47188 KB |
Output is correct |
33 |
Correct |
19 ms |
47164 KB |
Output is correct |
34 |
Correct |
20 ms |
47188 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
20 ms |
47188 KB |
Output is correct |
2 |
Correct |
19 ms |
47272 KB |
Output is correct |
3 |
Correct |
21 ms |
47192 KB |
Output is correct |
4 |
Correct |
22 ms |
47212 KB |
Output is correct |
5 |
Correct |
20 ms |
47284 KB |
Output is correct |
6 |
Correct |
20 ms |
47188 KB |
Output is correct |
7 |
Correct |
20 ms |
47208 KB |
Output is correct |
8 |
Correct |
25 ms |
47208 KB |
Output is correct |
9 |
Correct |
22 ms |
47272 KB |
Output is correct |
10 |
Correct |
22 ms |
47200 KB |
Output is correct |
11 |
Correct |
22 ms |
47280 KB |
Output is correct |
12 |
Correct |
20 ms |
47196 KB |
Output is correct |
13 |
Correct |
21 ms |
47260 KB |
Output is correct |
14 |
Correct |
20 ms |
47248 KB |
Output is correct |
15 |
Correct |
20 ms |
47188 KB |
Output is correct |
16 |
Correct |
21 ms |
47296 KB |
Output is correct |
17 |
Correct |
20 ms |
47308 KB |
Output is correct |
18 |
Correct |
22 ms |
47208 KB |
Output is correct |
19 |
Correct |
20 ms |
47188 KB |
Output is correct |
20 |
Correct |
20 ms |
47240 KB |
Output is correct |
21 |
Correct |
22 ms |
47228 KB |
Output is correct |
22 |
Correct |
20 ms |
47280 KB |
Output is correct |
23 |
Correct |
20 ms |
47224 KB |
Output is correct |
24 |
Correct |
19 ms |
47188 KB |
Output is correct |
25 |
Correct |
24 ms |
47188 KB |
Output is correct |
26 |
Correct |
23 ms |
47276 KB |
Output is correct |
27 |
Correct |
20 ms |
47188 KB |
Output is correct |
28 |
Correct |
24 ms |
47288 KB |
Output is correct |
29 |
Correct |
20 ms |
47180 KB |
Output is correct |
30 |
Correct |
21 ms |
47188 KB |
Output is correct |
31 |
Correct |
20 ms |
47196 KB |
Output is correct |
32 |
Correct |
21 ms |
47188 KB |
Output is correct |
33 |
Correct |
19 ms |
47164 KB |
Output is correct |
34 |
Correct |
20 ms |
47188 KB |
Output is correct |
35 |
Correct |
19 ms |
47224 KB |
Output is correct |
36 |
Correct |
20 ms |
47188 KB |
Output is correct |
37 |
Correct |
19 ms |
47272 KB |
Output is correct |
38 |
Correct |
21 ms |
47252 KB |
Output is correct |
39 |
Correct |
20 ms |
47264 KB |
Output is correct |
40 |
Correct |
20 ms |
47208 KB |
Output is correct |
41 |
Correct |
21 ms |
47180 KB |
Output is correct |
42 |
Correct |
26 ms |
47296 KB |
Output is correct |
43 |
Correct |
23 ms |
47312 KB |
Output is correct |
44 |
Correct |
23 ms |
47228 KB |
Output is correct |
45 |
Correct |
22 ms |
47316 KB |
Output is correct |
46 |
Correct |
21 ms |
47260 KB |
Output is correct |
47 |
Correct |
20 ms |
47212 KB |
Output is correct |
48 |
Correct |
20 ms |
47316 KB |
Output is correct |
49 |
Correct |
20 ms |
47224 KB |
Output is correct |
50 |
Correct |
20 ms |
47188 KB |
Output is correct |
51 |
Correct |
21 ms |
47316 KB |
Output is correct |
52 |
Correct |
21 ms |
47288 KB |
Output is correct |
53 |
Correct |
21 ms |
47228 KB |
Output is correct |
54 |
Correct |
26 ms |
47292 KB |
Output is correct |
55 |
Correct |
25 ms |
47208 KB |
Output is correct |
56 |
Correct |
22 ms |
47236 KB |
Output is correct |
57 |
Correct |
25 ms |
47208 KB |
Output is correct |
58 |
Correct |
22 ms |
47308 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
22 ms |
47188 KB |
Output is correct |
2 |
Correct |
21 ms |
47188 KB |
Output is correct |
3 |
Correct |
20 ms |
47224 KB |
Output is correct |
4 |
Correct |
22 ms |
47188 KB |
Output is correct |
5 |
Correct |
21 ms |
47180 KB |
Output is correct |
6 |
Correct |
23 ms |
47228 KB |
Output is correct |
7 |
Correct |
57 ms |
49228 KB |
Output is correct |
8 |
Correct |
57 ms |
49248 KB |
Output is correct |
9 |
Correct |
60 ms |
49236 KB |
Output is correct |
10 |
Correct |
62 ms |
49224 KB |
Output is correct |
11 |
Correct |
72 ms |
49180 KB |
Output is correct |
12 |
Correct |
61 ms |
49228 KB |
Output is correct |
13 |
Correct |
60 ms |
49328 KB |
Output is correct |
14 |
Correct |
56 ms |
49244 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
20 ms |
47188 KB |
Output is correct |
2 |
Correct |
19 ms |
47272 KB |
Output is correct |
3 |
Correct |
21 ms |
47192 KB |
Output is correct |
4 |
Correct |
22 ms |
47212 KB |
Output is correct |
5 |
Correct |
20 ms |
47284 KB |
Output is correct |
6 |
Correct |
20 ms |
47188 KB |
Output is correct |
7 |
Correct |
20 ms |
47208 KB |
Output is correct |
8 |
Correct |
25 ms |
47208 KB |
Output is correct |
9 |
Correct |
22 ms |
47272 KB |
Output is correct |
10 |
Correct |
22 ms |
47200 KB |
Output is correct |
11 |
Correct |
22 ms |
47280 KB |
Output is correct |
12 |
Correct |
20 ms |
47196 KB |
Output is correct |
13 |
Correct |
21 ms |
47260 KB |
Output is correct |
14 |
Correct |
20 ms |
47248 KB |
Output is correct |
15 |
Correct |
20 ms |
47188 KB |
Output is correct |
16 |
Correct |
21 ms |
47296 KB |
Output is correct |
17 |
Correct |
20 ms |
47308 KB |
Output is correct |
18 |
Correct |
22 ms |
47208 KB |
Output is correct |
19 |
Correct |
20 ms |
47188 KB |
Output is correct |
20 |
Correct |
20 ms |
47240 KB |
Output is correct |
21 |
Correct |
22 ms |
47228 KB |
Output is correct |
22 |
Correct |
20 ms |
47280 KB |
Output is correct |
23 |
Correct |
20 ms |
47224 KB |
Output is correct |
24 |
Correct |
19 ms |
47188 KB |
Output is correct |
25 |
Correct |
24 ms |
47188 KB |
Output is correct |
26 |
Correct |
23 ms |
47276 KB |
Output is correct |
27 |
Correct |
20 ms |
47188 KB |
Output is correct |
28 |
Correct |
24 ms |
47288 KB |
Output is correct |
29 |
Correct |
20 ms |
47180 KB |
Output is correct |
30 |
Correct |
21 ms |
47188 KB |
Output is correct |
31 |
Correct |
20 ms |
47196 KB |
Output is correct |
32 |
Correct |
21 ms |
47188 KB |
Output is correct |
33 |
Correct |
19 ms |
47164 KB |
Output is correct |
34 |
Correct |
20 ms |
47188 KB |
Output is correct |
35 |
Correct |
19 ms |
47224 KB |
Output is correct |
36 |
Correct |
20 ms |
47188 KB |
Output is correct |
37 |
Correct |
19 ms |
47272 KB |
Output is correct |
38 |
Correct |
21 ms |
47252 KB |
Output is correct |
39 |
Correct |
20 ms |
47264 KB |
Output is correct |
40 |
Correct |
20 ms |
47208 KB |
Output is correct |
41 |
Correct |
21 ms |
47180 KB |
Output is correct |
42 |
Correct |
26 ms |
47296 KB |
Output is correct |
43 |
Correct |
23 ms |
47312 KB |
Output is correct |
44 |
Correct |
23 ms |
47228 KB |
Output is correct |
45 |
Correct |
22 ms |
47316 KB |
Output is correct |
46 |
Correct |
21 ms |
47260 KB |
Output is correct |
47 |
Correct |
20 ms |
47212 KB |
Output is correct |
48 |
Correct |
20 ms |
47316 KB |
Output is correct |
49 |
Correct |
20 ms |
47224 KB |
Output is correct |
50 |
Correct |
20 ms |
47188 KB |
Output is correct |
51 |
Correct |
21 ms |
47316 KB |
Output is correct |
52 |
Correct |
21 ms |
47288 KB |
Output is correct |
53 |
Correct |
21 ms |
47228 KB |
Output is correct |
54 |
Correct |
26 ms |
47292 KB |
Output is correct |
55 |
Correct |
25 ms |
47208 KB |
Output is correct |
56 |
Correct |
22 ms |
47236 KB |
Output is correct |
57 |
Correct |
25 ms |
47208 KB |
Output is correct |
58 |
Correct |
22 ms |
47308 KB |
Output is correct |
59 |
Correct |
22 ms |
47188 KB |
Output is correct |
60 |
Correct |
21 ms |
47188 KB |
Output is correct |
61 |
Correct |
20 ms |
47224 KB |
Output is correct |
62 |
Correct |
22 ms |
47188 KB |
Output is correct |
63 |
Correct |
21 ms |
47180 KB |
Output is correct |
64 |
Correct |
23 ms |
47228 KB |
Output is correct |
65 |
Correct |
57 ms |
49228 KB |
Output is correct |
66 |
Correct |
57 ms |
49248 KB |
Output is correct |
67 |
Correct |
60 ms |
49236 KB |
Output is correct |
68 |
Correct |
62 ms |
49224 KB |
Output is correct |
69 |
Correct |
72 ms |
49180 KB |
Output is correct |
70 |
Correct |
61 ms |
49228 KB |
Output is correct |
71 |
Correct |
60 ms |
49328 KB |
Output is correct |
72 |
Correct |
56 ms |
49244 KB |
Output is correct |
73 |
Correct |
57 ms |
51092 KB |
Output is correct |
74 |
Correct |
57 ms |
51088 KB |
Output is correct |
75 |
Correct |
63 ms |
51092 KB |
Output is correct |
76 |
Correct |
66 ms |
51100 KB |
Output is correct |
77 |
Correct |
64 ms |
51192 KB |
Output is correct |
78 |
Correct |
62 ms |
51112 KB |
Output is correct |
79 |
Correct |
58 ms |
51148 KB |
Output is correct |
80 |
Correct |
66 ms |
51096 KB |
Output is correct |
81 |
Correct |
63 ms |
51108 KB |
Output is correct |
82 |
Correct |
74 ms |
51120 KB |
Output is correct |
83 |
Correct |
66 ms |
51148 KB |
Output is correct |
84 |
Correct |
65 ms |
51172 KB |
Output is correct |
85 |
Correct |
65 ms |
51188 KB |
Output is correct |
86 |
Correct |
66 ms |
51136 KB |
Output is correct |
87 |
Correct |
78 ms |
51152 KB |
Output is correct |
88 |
Correct |
66 ms |
51108 KB |
Output is correct |
89 |
Correct |
76 ms |
51188 KB |
Output is correct |
90 |
Correct |
67 ms |
51192 KB |
Output is correct |
91 |
Correct |
65 ms |
51124 KB |
Output is correct |
92 |
Correct |
67 ms |
51156 KB |
Output is correct |
93 |
Correct |
68 ms |
51188 KB |
Output is correct |
94 |
Correct |
74 ms |
51260 KB |
Output is correct |
95 |
Correct |
81 ms |
51148 KB |
Output is correct |
96 |
Correct |
72 ms |
51188 KB |
Output is correct |
97 |
Correct |
71 ms |
51148 KB |
Output is correct |
98 |
Correct |
83 ms |
51148 KB |
Output is correct |
99 |
Correct |
66 ms |
51224 KB |
Output is correct |
100 |
Correct |
69 ms |
51096 KB |
Output is correct |
101 |
Correct |
67 ms |
51104 KB |
Output is correct |
102 |
Correct |
68 ms |
51092 KB |
Output is correct |