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Submission #555478

# Submission time Handle Problem Language Result Execution time Memory
555478 2022-05-01T04:31:36 Z kym Lamps (JOI19_lamps) C++14
100 / 100
 83 ms 51260 KB 
#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;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory 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

Subtask #2
41.0 / 41.0

# Verdict Execution time Memory 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

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory 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

Subtask #4
49.0 / 49.0

# Verdict Execution time Memory 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