Submission #239808

# Submission time Handle Problem Language Result Execution time Memory
239808 2020-06-17T10:27:41 Z b00n0rp Lamps (JOI19_lamps) C++17
100 / 100
315 ms 127992 KB
// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------
#pragma GCC optimize("O3")
//(UNCOMMENT WHEN HAVING LOTS OF RECURSIONS)\
#pragma comment(linker, "/stack:200000000")
//(UNCOMMENT WHEN NEEDED)\
#pragma GCC optimize("Ofast,unroll-loops,no-stack-protector,fast-math")\
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")

// -------------------</optimizations>--------------------

// ---------------<Headers and namespaces>----------------
#include <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <ratio>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace __gnu_pbds;
using namespace __gnu_cxx;
*/
// ---------------</Headers and namespaces>---------------

// -----------------<Defines and typedefs>----------------
// typedef tree<int,null_type,less<int>,rb_tree_tag, \
tree_order_statistics_node_update> indexed_set; // use less_equal for multiset
// order_of_key (val): returns the no. of values less than val
// find_by_order (k): returns the iterator to kth largest element.(0-based)

typedef long double LD;
typedef long long ll;
#define int ll
#define pb push_back
#define mp make_pair
#define REP(i,n) for (int i = 0; i < n; i++)
#define FOR(i,a,b) for (int i = a; i < b; i++)
#define REPD(i,n) for (int i = n-1; i >= 0; i--)
#define FORD(i,a,b) for (int i = a; i >= b; i--)
#define remax(a,b) a = max(a,b)
#define remin(a,b) a = min(a,b)
#define all(v) v.begin(),v.end()
typedef map<int, int> mii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> pii;
typedef vector<pii> vpii;
#define F first
#define S second
#define PQ(type) priority_queue<type>
#define PQD(type) priority_queue<type,vector<type>,greater<type> >
#define ITR :: iterator it
#define WL(t) while(t --)
#define SZ(x) ((int)(x).size())
#define runtime() ((double)clock() / CLOCKS_PER_SEC)
#define TR(container,it) for(typeof(container.begin()) it=container.begin();it!=container.end();it++)
#define sqr(x) ((x)*(x))
#define inrange(i,a,b) ((i>=min(a,b)) && (i<=max(a,b)))

// -----<SCANF>-----
#define sfi(x) scanf("%d",&x);
#define sfi2(x,y) scanf("%d%d",&x,&y);
#define sfi3(x,y,z) scanf("%d%d%d",&x,&y,&z);

#define sfl(x) scanf("%lld",&x);
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
#define sfl3(x,y,z) scanf("%lld%lld%lld",&x,&y,&z);
#define sfl4(x,y,z,x1) scanf("%lld%lld%lld%lld",&x,&y,&z,&x1);
#define sfl5(x,y,z,x1,y1) scanf("%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1);
#define sfl6(x,y,z,x1,y1,z1) scanf("%lld%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1,&z1);

#define sfs(x) scanf("%s",x);
#define sfs2(x,y) scanf("%s%s",x,y);
#define sfs3(x,y,z) scanf("%s%s%s",x,y,z);
// ----</SCANF>-----

// ----<PRINTF>-----
#define pfi(x) printf("%d\n",x);
#define pfi2(x,y) printf("%d %d\n",x,y);
#define pfi3(x,y,z) printf("%d %d %d\n",x,y,z);

#define pfl(x) printf("%lld\n",x);
#define pfl2(x,y) printf("%lld %lld\n",x,y);
#define pfl3(x,y,z) printf("%lld %lld %lld\n",x,y,z);

#define pfs(x) printf("%s\n",x);
#define pfs2(x,y) printf("%s %s\n",x,y);
#define pfs3(x,y,z) printf("%s %s %s\n",x,y,z);

#define pwe(x) printf("%lld ",x); // print without end
// ----</PRINTF>----

#define FLSH fflush(stdout)
#define fileIO(name) \
    freopen(name".in", "r", stdin); \
    freopen(name".out", "w", stdout);
#define PRECISION(x) cout << fixed << setprecision(x); 
#define FAST_IO ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

// ----------------</Defines and typedefs>----------------

// -------------------<Debugging stuff>-------------------
#define TRACE

#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1) {
	cerr << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args) {
	const char* comma = strchr(names + 1, ','); cerr.write(names, comma - names) << " : " << arg1 << " | "; __f(comma + 1, args...);
}
#else
#define trace(...)
#endif

// ------------------</Debugging stuff>-------------------

// ------------------------<Consts>-----------------------
const int MAXN = 1000005;
const int SQRTN = 1003;
const int LOGN = 22;
const double PI = acos(-1);

#ifdef int
const int INF = 1e16;
#else
const int INF = 1e9;
#endif

const int MOD = 1000000007;
const int FMOD = 998244353;
const double eps = 1e-9;

// -----------------------</Consts>-----------------------

// -------------------------<RNG>-------------------------
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count());
#define SHUF(v) shuffle(all(v), RNG);
// Use mt19937_64 for 64 bit random numbers.

// ------------------------</RNG>-------------------------
// ----------------------<MATH>---------------------------
template<typename T> T gcd(T a, T b) { return(b ? __gcd(a, b) : a); }
template<typename T> T lcm(T a, T b) { return(a * (b / gcd(a, b))); }
int add(int a, int b, int c = MOD) { int res = a + b; return(res >= c ? res - c : res); }
int mod_neg(int a, int b, int c = MOD) { int res; if (abs(a - b) < c)res = a - b; else res = (a - b) % c; return(res < 0 ? res + c : res); }
int mul(int a, int b, int c = MOD) { ll res = (ll)a * b; return(res >= c ? res % c : res); }
int muln(int a, int b, int c = MOD) { ll res = (ll)a * b; return ((res % c) + c) % c; }
ll mulmod(ll a, ll b, ll m = MOD) { ll q = (ll)(((LD)a * (LD)b) / (LD)m); ll r = a * b - q * m; if (r > m)r %= m; if (r < 0)r += m; return r; }
template<typename T>T expo(T e, T n) { T x = 1, p = e; while (n) { if (n & 1)x = x * p; p = p * p; n >>= 1; }return x; }
template<typename T>T power(T e, T n, T m = MOD) { T x = 1, p = e; while (n) { if (n & 1)x = mul(x, p, m); p = mul(p, p, m); n >>= 1; }return x; }
template<typename T>T extended_euclid(T a, T b, T& x, T& y) {
	T xx = 0, yy = 1; y = 0; x = 1; while (b) {
		T q = a / b, t = b; b = a % b; a = t; \
			t = xx; xx = x - q * xx; x = t; t = yy; yy = y - q * yy; y = t;
	}return a;
}
template<typename T>T mod_inverse(T a, T n = MOD) { T x, y, z = 0; T d = extended_euclid(a, n, x, y); return(d > 1 ? -1 : mod_neg(x, z, n)); }
const int FACSZ = 1; // Make sure to change this
int fact[FACSZ], ifact[FACSZ];
void precom(int c = MOD) {
	fact[0] = 1;
	FOR(i, 1, FACSZ) fact[i] = mul(fact[i - 1], i, c);
	ifact[FACSZ - 1] = mod_inverse(fact[FACSZ - 1], c);
	REPD(i, FACSZ - 1) {
		ifact[i] = mul(i + 1, ifact[i + 1], c);
	}
}
int ncr(int n, int r, int c = MOD) {
	return mul(mul(ifact[r], ifact[n - r], c), fact[n], c);
}
// ----------------------</MATH>--------------------------
// --------------------------------------------------</TEMPLATE>--------------------------------------------------

void solvethetestcase();

signed main() {
	// (UNCOMMENT FOR CIN/COUT) \
	FAST_IO
	PRECISION(10)

		int t = 1;
	// (UNCOMMENT FOR MULTIPLE TEST CASES) \
	sfl(t);
	FOR(testcase, 1, t + 1) {
		// (UNCOMMENT FOR CODEJAM) \
		printf("Case #%lld: ",testcase); 
		solvethetestcase();
	}
}

int n;
bitset<1000005> a,b;
int dp[1000005][2][3]; // index, flip before or not,toggled 0/1/no toggle

int solve(int ind,int flip,int tog){
	if(!ind) return 0;
	if(dp[ind][flip][tog] != -1) return dp[ind][flip][tog];
	// if(tog <= 1 and (tog^flip) == b[ind]) return dp[ind][flip][tog] = solve(ind-1,flip,tog);
	// if(tog == 2 and (a[ind]^flip) == b[ind]) return dp[ind][flip][tog] = solve(ind-1,flip,tog);
	int res = ind;
	REP(newf,2){
		REP(newt,3){
			if((newt <= 1 and (newt^newf) == b[ind]) or (newt == 2 and (a[ind]^newf)==b[ind])){
				int cur = 0;
				if(newf == 1 and flip == 0) cur++;
				if(newt <= 1 and newt != tog) cur++;

				if(cur <= 1) remin(res,solve(ind-1,newf,newt)+cur);
			}
			
		}
	}
	// trace(ind,flip,tog,res);
	return dp[ind][flip][tog] = res;
}

void solvethetestcase() {
	cin >> n;
	FOR(i,1,n+1){
		char c; cin >> c;
		a[i] = c-'0';
	}
	FOR(i,1,n+1){
		char c; cin >> c;
		b[i] = c-'0';
	}
	REP(i,n+3){
		REP(j,2){
			REP(k,3){
				dp[i][j][k] = -1;
			}
		}
	}
	pfl(solve(n,0,2))

}

Compilation message

lamp.cpp:4:1: warning: multi-line comment [-Wcomment]
 //(UNCOMMENT WHEN HAVING LOTS OF RECURSIONS)\
 ^
lamp.cpp:6:1: warning: multi-line comment [-Wcomment]
 //(UNCOMMENT WHEN NEEDED)\
 ^
lamp.cpp:54:1: warning: multi-line comment [-Wcomment]
 // typedef tree<int,null_type,less<int>,rb_tree_tag, \
 ^
lamp.cpp:209:2: warning: multi-line comment [-Wcomment]
  // (UNCOMMENT FOR CIN/COUT) \
  ^
lamp.cpp:214:2: warning: multi-line comment [-Wcomment]
  // (UNCOMMENT FOR MULTIPLE TEST CASES) \
  ^
lamp.cpp:217:3: warning: multi-line comment [-Wcomment]
   // (UNCOMMENT FOR CODEJAM) \
   ^
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 6 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 6 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 5 ms 384 KB Output is correct
24 Correct 5 ms 384 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 5 ms 384 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 5 ms 384 KB Output is correct
30 Correct 5 ms 384 KB Output is correct
31 Correct 6 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct
33 Correct 5 ms 384 KB Output is correct
34 Correct 5 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 6 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 6 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 5 ms 384 KB Output is correct
24 Correct 5 ms 384 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 5 ms 384 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 5 ms 384 KB Output is correct
30 Correct 5 ms 384 KB Output is correct
31 Correct 6 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct
33 Correct 5 ms 384 KB Output is correct
34 Correct 5 ms 384 KB Output is correct
35 Correct 5 ms 640 KB Output is correct
36 Correct 5 ms 640 KB Output is correct
37 Correct 5 ms 640 KB Output is correct
38 Correct 5 ms 640 KB Output is correct
39 Correct 5 ms 640 KB Output is correct
40 Correct 6 ms 640 KB Output is correct
41 Correct 5 ms 640 KB Output is correct
42 Correct 6 ms 640 KB Output is correct
43 Correct 5 ms 640 KB Output is correct
44 Correct 5 ms 640 KB Output is correct
45 Correct 5 ms 640 KB Output is correct
46 Correct 5 ms 640 KB Output is correct
47 Correct 6 ms 640 KB Output is correct
48 Correct 5 ms 640 KB Output is correct
49 Correct 5 ms 640 KB Output is correct
50 Correct 6 ms 640 KB Output is correct
51 Correct 5 ms 640 KB Output is correct
52 Correct 6 ms 640 KB Output is correct
53 Correct 6 ms 640 KB Output is correct
54 Correct 5 ms 640 KB Output is correct
55 Correct 5 ms 640 KB Output is correct
56 Correct 6 ms 660 KB Output is correct
57 Correct 6 ms 640 KB Output is correct
58 Correct 5 ms 640 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 267 ms 127480 KB Output is correct
8 Correct 286 ms 127612 KB Output is correct
9 Correct 290 ms 127736 KB Output is correct
10 Correct 293 ms 127864 KB Output is correct
11 Correct 283 ms 127992 KB Output is correct
12 Correct 281 ms 127736 KB Output is correct
13 Correct 281 ms 127864 KB Output is correct
14 Correct 286 ms 127868 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 6 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 6 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 5 ms 384 KB Output is correct
24 Correct 5 ms 384 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 5 ms 384 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 5 ms 384 KB Output is correct
30 Correct 5 ms 384 KB Output is correct
31 Correct 6 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct
33 Correct 5 ms 384 KB Output is correct
34 Correct 5 ms 384 KB Output is correct
35 Correct 5 ms 640 KB Output is correct
36 Correct 5 ms 640 KB Output is correct
37 Correct 5 ms 640 KB Output is correct
38 Correct 5 ms 640 KB Output is correct
39 Correct 5 ms 640 KB Output is correct
40 Correct 6 ms 640 KB Output is correct
41 Correct 5 ms 640 KB Output is correct
42 Correct 6 ms 640 KB Output is correct
43 Correct 5 ms 640 KB Output is correct
44 Correct 5 ms 640 KB Output is correct
45 Correct 5 ms 640 KB Output is correct
46 Correct 5 ms 640 KB Output is correct
47 Correct 6 ms 640 KB Output is correct
48 Correct 5 ms 640 KB Output is correct
49 Correct 5 ms 640 KB Output is correct
50 Correct 6 ms 640 KB Output is correct
51 Correct 5 ms 640 KB Output is correct
52 Correct 6 ms 640 KB Output is correct
53 Correct 6 ms 640 KB Output is correct
54 Correct 5 ms 640 KB Output is correct
55 Correct 5 ms 640 KB Output is correct
56 Correct 6 ms 660 KB Output is correct
57 Correct 6 ms 640 KB Output is correct
58 Correct 5 ms 640 KB Output is correct
59 Correct 5 ms 384 KB Output is correct
60 Correct 5 ms 384 KB Output is correct
61 Correct 5 ms 384 KB Output is correct
62 Correct 5 ms 384 KB Output is correct
63 Correct 5 ms 384 KB Output is correct
64 Correct 5 ms 384 KB Output is correct
65 Correct 267 ms 127480 KB Output is correct
66 Correct 286 ms 127612 KB Output is correct
67 Correct 290 ms 127736 KB Output is correct
68 Correct 293 ms 127864 KB Output is correct
69 Correct 283 ms 127992 KB Output is correct
70 Correct 281 ms 127736 KB Output is correct
71 Correct 281 ms 127864 KB Output is correct
72 Correct 286 ms 127868 KB Output is correct
73 Correct 289 ms 127736 KB Output is correct
74 Correct 304 ms 127736 KB Output is correct
75 Correct 291 ms 127736 KB Output is correct
76 Correct 289 ms 127992 KB Output is correct
77 Correct 285 ms 127740 KB Output is correct
78 Correct 284 ms 127736 KB Output is correct
79 Correct 294 ms 127864 KB Output is correct
80 Correct 290 ms 127868 KB Output is correct
81 Correct 292 ms 127736 KB Output is correct
82 Correct 303 ms 127736 KB Output is correct
83 Correct 303 ms 127864 KB Output is correct
84 Correct 308 ms 127736 KB Output is correct
85 Correct 301 ms 127760 KB Output is correct
86 Correct 295 ms 127864 KB Output is correct
87 Correct 300 ms 127716 KB Output is correct
88 Correct 294 ms 127864 KB Output is correct
89 Correct 308 ms 127736 KB Output is correct
90 Correct 292 ms 127736 KB Output is correct
91 Correct 304 ms 127740 KB Output is correct
92 Correct 306 ms 127864 KB Output is correct
93 Correct 303 ms 127736 KB Output is correct
94 Correct 312 ms 127736 KB Output is correct
95 Correct 313 ms 127736 KB Output is correct
96 Correct 315 ms 127736 KB Output is correct
97 Correct 314 ms 127736 KB Output is correct
98 Correct 314 ms 127736 KB Output is correct
99 Correct 314 ms 127736 KB Output is correct
100 Correct 311 ms 127868 KB Output is correct
101 Correct 309 ms 127736 KB Output is correct
102 Correct 308 ms 127736 KB Output is correct