Submission #1013933

# Submission time Handle Problem Language Result Execution time Memory
1013933 2024-07-04T08:23:04 Z vjudge1 Lamps (JOI19_lamps) C++17
100 / 100
39 ms 27536 KB
#include<bits/allocator.h>
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,fma,bmi,bmi2,popcnt,lzcnt")

#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define ull unsigned long long
#define int128 __int128_t
#define double long double
#define gcd __gcd
#define lcm(a, b) ((a)/gcd(a, b)*(b))
#define sqrt sqrtl
#define log2 log2l
#define log10 log10l
#define floor floorl
#define to_string str
#define yes cout << "YES"
#define no cout << "NO"
#define trav(i, a) for (auto &i: (a))
#define all(a) (a).begin(), (a).end()
#define rall(a) (a).rbegin(), (a).rend()
#define sz(a) (int)a.size()
#define Max(a) *max_element(all(a))
#define Min(a) *min_element(all(a))
#define Find(a, n) (find(all(a), n) - a.begin())
#define Count(a, n) count(all(a), n)
#define Upper(a, n) (upper_bound(all(a), n) - a.begin())
#define Lower(a, n) (lower_bound(all(a), n) - a.begin())
#define next_perm(a) next_permutation(all(a))
#define prev_perm(a) prev_permutation(all(a))
#define sorted(a) is_sorted(all(a))
#define sum(a) accumulate(all(a), 0)
#define sumll(a) accumulate(all(a), 0ll)
#define Sort(a) sort(all(a))
#define Reverse(a) reverse(all(a))
#define Unique(a) Sort(a), (a).resize(unique(all(a)) - a.begin())
#define pb push_back
#define eb emplace_back
#define popcount __builtin_popcount
#define popcountll __builtin_popcountll
#define clz __builtin_clz
#define clzll __builtin_clzll
#define ctz __builtin_ctz
#define ctzll __builtin_ctzll
#define open(s) freopen(s, "r", stdin)
#define write(s) freopen(s, "w", stdout)
#define fileopen(s) open((string(s) + ".inp").c_str()), write((string(s) + ".out").c_str());
#define For(i, a, b) for (auto i = (a); i < (b); i++)
#define Fore(i, a, b) for (auto i = (a); i >= (b); i--)
#define FOR(i, a, b) for (auto i = (a); i <= (b); i++)
#define ret(s) return void(cout << s);

const int mod = 1e9 + 7, mod2 = 998244353;
const double PI = acos(-1), eps = 1e-9;
const ull npos = string::npos;
const int dx[] = {0, 0, -1, 1}, dy[] = {-1, 1, 0, 0};
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using cd = complex<double>;
mt19937 mt(chrono::system_clock::now().time_since_epoch().count());
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<double> vdo;
typedef vector<vdo> vvdo;
typedef vector<string> vs;
typedef vector<pii> vpair;
typedef vector<vpair> vvpair;
typedef vector<bool> vb;
typedef vector<vb> vvb;
typedef vector<char> vc;
typedef vector<vc> vvc;
typedef vector<cd> vcd;
typedef priority_queue<int> pq;
typedef priority_queue<int, vi, greater<int>> pqg;
typedef priority_queue<ll> pqll;
typedef priority_queue<ll, vll, greater<ll>> pqgll;

ll add(ll a, ll b, int m) {if (a >= m) a%=m;if (b >= m) b%=m;a+=b;return a >= m ? a - m: a;}
ll sub(ll a, ll b, int m) {if (a >= m) a%=m;if (b >= m) b%=m;a-=b;return a < 0 ? a + m: a;}
ll mul(ll a, ll b, int m) {if (a >= m) a%=m;if (b >= m) b%=m;return a*b % m;}
ll bin_mul(ll a, ll b, ll m) {if (a >= m) a%=m;if (b >= m) b%=m;ll x = 0;while (b) {if (b & 1) x = (x + a) % m;a = (a + a) % m;b>>=1;}return x;}
ll power(ll a, ll b, int m) {ll x = 1;if (a >= m) a%=m; while (b) {if (b & 1) x = x*a % m;a = a*a % m;b>>=1;}return x;}
ll power(ll a, ll b) {ll x = 1;while (b) {if (b & 1) x = x*a;a = a*a;b>>=1;}return x;}
ll ceil(ll a, ll b) {return (a + b - 1)/b;}
ll to_int(const string &s) {ll x = 0; for (int i = (s[0] == '-'); i < sz(s); i++) x = x*10 + s[i] - '0';return x*(s[0] == '-' ? -1: 1);}
bool is_prime(ll n) {if (n < 2) return 0;if (n < 4) return 1;if (n % 2 == 0 || n % 3 == 0) return 0;for (ll i = 5; i*i <= n; i+=6) {if(n % i == 0 || n % (i + 2) == 0) return 0;}return 1;}
bool is_square(ll n) {ll k = sqrt(n); return k*k == n;}
ll factorial(int n) {ll x = 1;for (int i = 2; i <= n; i++) x*=i;return x;}
ll factorial(int n, int m) {ll x = 1;for (ll i = 2; i <= n; i++) x = x*i % m;return x;}
bool is_power(ll n, ll k) {while (n % k == 0) n/=k;return n == 1ll;}
string str(ll n) {if (n == 0) return "0"; string s = ""; bool c = 0; if (n < 0) c = 1, n = -n; while (n) {s+=n % 10 + '0'; n/=10;} if (c) s+='-'; Reverse(s); return s;}
string repeat(const string &s, int n) {if (n < 0) return ""; string x = ""; while (n--) x+=s; return x;}
string bin(ll n) {string s = ""; while (n) {s+=(n & 1) + '0'; n>>=1;} Reverse(s); return s;}
void sieve(vector<bool> &a) {int n = a.size(); a[0] = a[1] = 0; for (int i = 4; i < n; i+=2) a[i] = 0; for (int i = 3; i*i < n; i+=2) {if (a[i]) {for (int j = i*i; j < n; j+=(i << 1)) a[j] = 0;}}}
void sieve(bool a[], int n) {a[0] = a[1] = 0; for (int i = 4; i < n; i+=2) a[i] = 0; for (int i = 3; i*i < n; i+=2) {if (a[i]) {for (int j = i*i; j < n; j+=(i << 1)) a[j] = 0;}}}
void sieve(vector<int> &a) {int n = a.size(); for (int i = 2; i < n; i+=2) a[i] = 2; for (int i = 3; i*i < n; i+=2) {if (!a[i]) {for (int j = i; j < n; j+=(i << 1)) a[j] = i;}} for (int i = 3; i < n; i+=2) {if (!a[i]) a[i] = i;}}
void sieve(int a[], int n) {for (int i = 2; i < n; i+=2) a[i] = 2; for (int i = 3; i*i < n; i+=2) {if (!a[i]) {for (int j = i; j < n; j+=(i << 1)) a[j] = i;}} for (int i = 3; i < n; i+=2) {if (!a[i]) a[i] = i;}}
vector<pii> factorize(int n) {vector<pii> a; for (int i = 2; i*i <= n; i++) {if (n % i == 0) {int k = 0; while (n % i == 0) k++, n/=i; a.emplace_back(i, k);}} if (n > 1) a.emplace_back(n, 1); return a;}
int rand(int l, int r) {return uniform_int_distribution<int>(l, r)(mt);}
int Log2(int n) {return 31 - __builtin_clz(n);}
template<class T> void compress(vector<T> &a) {vector<T> b; for (T &i: a) b.push_back(i); sort(all(b)); b.resize(unique(all(b)) - b.begin()); for (T &i: a) i = lower_bound(all(b), i) - b.begin() + 1;}

template<class A, class B> istream& operator>>(istream& in, pair<A, B> &p) {in >> p.first >> p.second; return in;}
template<class A, class B> ostream& operator<<(ostream& out, const pair<A, B> &p) {out << p.first << ' ' << p.second; return out;}
template<class T> istream& operator>>(istream& in, vector<T> &a) {for (auto &i: a) in >> i; return in;}
template<class T> ostream& operator<<(ostream& out, const vector<T> &a) {for (auto &i: a) out << i << ' '; return out;}
template<class T> istream& operator>>(istream& in, vector<vector<T>> &a) {for (auto &i: a) in >> i; return in;}
template<class T> ostream& operator<<(ostream& out, const vector<vector<T>> &a) {for (auto &i: a) out << i << '\n'; return out;}
template<class T> istream& operator>>(istream& in, deque<T> &a) {for (auto &i: a) in >> i; return in;}
template<class T> ostream& operator<<(ostream& out, const deque<T> &a) {for (auto &i: a) out << i << ' '; return out;}
// istream& operator>>(istream& in, __int128_t &a) {string s; in >> s; a = 0; for (auto &i: s) a = a*10 + (i - '0'); return in;}
// ostream& operator<<(ostream& out, __int128_t a) {string s = ""; while (a > 0) {s+=(int)a % 10 + '0'; a/=10;} Reverse(s); out << s; return out;}

const int N = 1e6 + 5;
int f[N][3][2];
char res(char c, int j, int k) {
    int a = c - '0';
    if (j == 0) a = 0;
    if (j == 1) a = 1;
    if (k) a^=1;
    return a + '0';
}
int cost(int u, int v, int j, int k) {
    int x = 0;
    if (u != j && j != 2) x++;
    if (v != k && k) x++;
    return x; 
}
int main() {
    ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL);
    cout << fixed << setprecision(10);
    string a, b; int n; cin >> n >> a >> b;
    a = ' ' + a; b = ' ' + b;
    FOR(i,0,2){
        FOR(j,0,1) f[0][i][j] = 1e9;
    }
    f[0][2][0] = 0;
    FOR(i,1,n){
        FOR(j,0,2){
            FOR(k,0,1){
                f[i][j][k] = 1e9;
                if (res(a[i], j, k) != b[i]) continue;
                FOR(u,0,2){
                    FOR(v,0,1){
                        f[i][j][k] = min(f[i][j][k], f[i - 1][u][v] + cost(u, v, j, k));
                    }
                }
            }
        }
    }
    //0,0: 0 continue
    //1,0: 1 continue
    //2,0: nothing
    //2,1: xor continue
    int x = 1e9;
    FOR(i,0,2){
        FOR(j,0,1) x = min(x, f[n][i][j]);
    }
    cout << x;
    cerr << "\nProcess returned 0 (0x0)   execution time :  " << 0.001*clock() << " s";
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 472 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 472 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 0 ms 420 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 472 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 472 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 472 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 0 ms 420 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 472 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 472 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 472 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 23 ms 26948 KB Output is correct
8 Correct 24 ms 26968 KB Output is correct
9 Correct 23 ms 26844 KB Output is correct
10 Correct 26 ms 27132 KB Output is correct
11 Correct 23 ms 27028 KB Output is correct
12 Correct 24 ms 26872 KB Output is correct
13 Correct 24 ms 26868 KB Output is correct
14 Correct 31 ms 27052 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 472 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 472 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 0 ms 420 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 472 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 472 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 472 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 0 ms 348 KB Output is correct
62 Correct 0 ms 348 KB Output is correct
63 Correct 1 ms 468 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 23 ms 26948 KB Output is correct
66 Correct 24 ms 26968 KB Output is correct
67 Correct 23 ms 26844 KB Output is correct
68 Correct 26 ms 27132 KB Output is correct
69 Correct 23 ms 27028 KB Output is correct
70 Correct 24 ms 26872 KB Output is correct
71 Correct 24 ms 26868 KB Output is correct
72 Correct 31 ms 27052 KB Output is correct
73 Correct 27 ms 27312 KB Output is correct
74 Correct 23 ms 26876 KB Output is correct
75 Correct 24 ms 26868 KB Output is correct
76 Correct 27 ms 26896 KB Output is correct
77 Correct 23 ms 26920 KB Output is correct
78 Correct 24 ms 26868 KB Output is correct
79 Correct 23 ms 26948 KB Output is correct
80 Correct 23 ms 26884 KB Output is correct
81 Correct 23 ms 26936 KB Output is correct
82 Correct 23 ms 26876 KB Output is correct
83 Correct 26 ms 26960 KB Output is correct
84 Correct 27 ms 26856 KB Output is correct
85 Correct 27 ms 26876 KB Output is correct
86 Correct 39 ms 26944 KB Output is correct
87 Correct 27 ms 26892 KB Output is correct
88 Correct 26 ms 27012 KB Output is correct
89 Correct 26 ms 26864 KB Output is correct
90 Correct 27 ms 26976 KB Output is correct
91 Correct 29 ms 26860 KB Output is correct
92 Correct 33 ms 26856 KB Output is correct
93 Correct 34 ms 26868 KB Output is correct
94 Correct 32 ms 26872 KB Output is correct
95 Correct 30 ms 26860 KB Output is correct
96 Correct 30 ms 26864 KB Output is correct
97 Correct 34 ms 26876 KB Output is correct
98 Correct 30 ms 26872 KB Output is correct
99 Correct 31 ms 27376 KB Output is correct
100 Correct 31 ms 27536 KB Output is correct
101 Correct 29 ms 27392 KB Output is correct
102 Correct 31 ms 27396 KB Output is correct