Submission #162378

# Submission time Handle Problem Language Result Execution time Memory
162378 2019-11-07T20:09:11 Z Benq Round words (IZhO13_rowords) C++14
100 / 100
132 ms 26876 KB
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")

#include <bits/stdc++.h>

using namespace std;
 
typedef double db;
typedef long long ll;
typedef long double ld;
typedef string str;

typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef complex<ld> cd;

typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<ld> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;

#define FOR(i,a,b) for (int i = (a); i < (b); i++)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); i--)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a : x)

#define mp make_pair
#define pb push_back
#define eb emplace_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound

#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define rsz resize
#define ins insert

const int MOD = 1e9+7; // 998244353 = (119<<23)+1
const ll INF = 1e18;
const int MX = 2e5+5;
const ld PI = 4*atan((ld)1);

template<class T> bool ckmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>

using namespace __gnu_pbds;
using namespace __gnu_cxx;

template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

#define ook order_of_key
#define fbo find_by_order

namespace input {
    template<class T> void re(complex<T>& x);
    template<class T1, class T2> void re(pair<T1,T2>& p);
    template<class T> void re(vector<T>& a);
    template<class T, size_t SZ> void re(array<T,SZ>& a);

    template<class T> void re(T& x) { cin >> x; }
    void re(double& x) { string t; re(t); x = stod(t); }
    void re(ld& x) { string t; re(t); x = stold(t); }
    template<class T, class... Ts> void re(T& t, Ts&... ts) { 
        re(t); re(ts...); 
    }

    template<class T> void re(complex<T>& x) { T a,b; re(a,b); x = cd(a,b); }
    template<class T1, class T2> void re(pair<T1,T2>& p) { re(p.f,p.s); }
    template<class T> void re(vector<T>& a) { F0R(i,sz(a)) re(a[i]); }
    template<class T, size_t SZ> void re(array<T,SZ>& a) { F0R(i,SZ) re(a[i]); }
}

using namespace input;

namespace output {
    void pr(int x) { cout << x; }
    void pr(long x) { cout << x; }
    void pr(ll x) { cout << x; }
    void pr(unsigned x) { cout << x; }
    void pr(unsigned long x) { cout << x; }
    void pr(unsigned long long x) { cout << x; }
    void pr(float x) { cout << x; }
    void pr(double x) { cout << x; }
    void pr(ld x) { cout << x; }
    void pr(char x) { cout << x; }
    void pr(const char* x) { cout << x; }
    void pr(const string& x) { cout << x; }
    void pr(bool x) { pr(x ? "true" : "false"); }
    template<class T> void pr(const complex<T>& x) { cout << x; }
    
    template<class T1, class T2> void pr(const pair<T1,T2>& x);
    template<class T> void pr(const T& x);
    
    template<class T, class... Ts> void pr(const T& t, const Ts&... ts) { 
        pr(t); pr(ts...); 
    }
    template<class T1, class T2> void pr(const pair<T1,T2>& x) { 
        pr("{",x.f,", ",x.s,"}"); 
    }
    template<class T> void pr(const T& x) { 
        pr("{"); // const iterator needed for vector<bool>
        bool fst = 1; for (const auto& a: x) pr(!fst?", ":"",a), fst = 0; 
        pr("}");
    }
    
    void ps() { pr("\n"); } // print w/ spaces
    template<class T, class... Ts> void ps(const T& t, const Ts&... ts) { 
        pr(t); if (sizeof...(ts)) pr(" "); ps(ts...); 
    }
    
    void pc() { pr("]\n"); } // debug w/ commas
    template<class T, class... Ts> void pc(const T& t, const Ts&... ts) { 
        pr(t); if (sizeof...(ts)) pr(", "); pc(ts...); 
    }
    #define dbg(x...) pr("[",#x,"] = ["), pc(x);
}

using namespace output;

namespace io {
    void setIn(string s) { freopen(s.c_str(),"r",stdin); }
    void setOut(string s) { freopen(s.c_str(),"w",stdout); }
    void setIO(string s = "") {
        cin.sync_with_stdio(0); cin.tie(0); // fast I/O
        cin.exceptions(cin.failbit); // ex. throws exception when you try to read letter into int
        if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
    }
}

using namespace io;

template<class T> T invGeneral(T a, T b) {
	a %= b; if (a == 0) return b == 1 ? 0 : -1;
	T x = invGeneral(b,a); 
	return x == -1 ? -1 : ((1-(ll)b*x)/a+b)%b;
}

template<class T> struct modular {
	T val; 
	explicit operator T() const { return val; }
	modular() { val = 0; }
	modular(const ll& v) { 
		val = (-MOD <= v && v <= MOD) ? v : v % MOD;
		if (val < 0) val += MOD;
	}
	
	// friend ostream& operator<<(ostream& os, const modular& a) { return os << a.val; }
	friend void pr(const modular& a) { pr(a.val); }
	friend void re(modular& a) { ll x; re(x); a = modular(x); }
   
	friend bool operator==(const modular& a, const modular& b) { return a.val == b.val; }
	friend bool operator!=(const modular& a, const modular& b) { return !(a == b); }
	friend bool operator<(const modular& a, const modular& b) { return a.val < b.val; }

	modular operator-() const { return modular(-val); }
	modular& operator+=(const modular& m) { if ((val += m.val) >= MOD) val -= MOD; return *this; }
	modular& operator-=(const modular& m) { if ((val -= m.val) < 0) val += MOD; return *this; }
	modular& operator*=(const modular& m) { val = (ll)val*m.val%MOD; return *this; }
	friend modular pow(modular a, ll p) {
		modular ans = 1; for (; p; p /= 2, a *= a) if (p&1) ans *= a;
		return ans;
	}
	friend modular inv(const modular& a) { 
		auto i = invGeneral(a.val,MOD); assert(i != -1);
		return i;
	} // equivalent to return exp(b,MOD-2) if MOD is prime
	modular& operator/=(const modular& m) { return (*this) *= inv(m); }
	
	friend modular operator+(modular a, const modular& b) { return a += b; }
	friend modular operator-(modular a, const modular& b) { return a -= b; }
	friend modular operator*(modular a, const modular& b) { return a *= b; }
	
	friend modular operator/(modular a, const modular& b) { return a /= b; }
};

typedef modular<int> mi;
typedef pair<mi,mi> pmi;
typedef vector<mi> vmi;
typedef vector<pmi> vpmi;

pi dp[2001][4001];
str A,B;
 
void init() {
    FOR(i,1,sz(A)+1) FOR(j,1,sz(B)+1) { // naive LCS, store where value came from
        pi& bes = dp[i][j]; bes = {-1,-1};
        ckmax(bes,{dp[i-1][j].f,0});
        ckmax(bes,{dp[i-1][j-1].f+(A[i-1] == B[j-1]),-1});
        ckmax(bes,{dp[i][j-1].f,-2});
        bes.s *= -1;
    }
}
void adjust(int col) { // remove col'th character of b, adjust DP
    int x = 1;
    while (x <= sz(A) && dp[x][col].s == 0) x ++;
    if (x > sz(A)) return; // no adjustments to dp
    pi cur = {x,col}; dp[cur.f][cur.s].s = 0;
    while (cur.f <= sz(A) && cur.s <= sz(B)) {
        if (cur.s < sz(B) && dp[cur.f][cur.s+1].s == 2) {
            cur.s ++;
        	dp[cur.f][cur.s].s = 0;
        } else if (cur.f < sz(A) && cur.s < sz(B) 
        	&& dp[cur.f+1][cur.s+1].s == 1) {
            cur.f ++, cur.s ++;
        	dp[cur.f][cur.s].s = 0;
        } else cur.f ++;
    }
}
int getAns(pi x) {
    int lo = x.s-sz(B)/2, ret = 0;
    while (x.f && x.s > lo) {
        if (dp[x.f][x.s].s == 0) x.f --;
        else if (dp[x.f][x.s].s == 1) ret ++, x.f --, x.s --;
        else x.s --;
    }
    return ret;
}
int circLCS(str a, str b) {
    A = a, B = b+b; init();
    int ans = 0;
    F0R(i,sz(b)) {
        ans = max(ans,getAns({sz(a),i+sz(b)}));
        adjust(i+1);
    }
    return ans;
}
 
int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    str a,b; cin >> a >> b;
    int ans = circLCS(a,b);
    reverse(all(a));
    ckmax(ans,circLCS(a,b));
    cout << ans;
}

/* stuff you should look for
	* int overflow, array bounds
	* special cases (n=1?), set tle
	* do smth instead of nothing and stay organized
*/

Compilation message

rowords.cpp: In function 'void io::setIn(std::__cxx11::string)':
rowords.cpp:135:35: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setIn(string s) { freopen(s.c_str(),"r",stdin); }
                            ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
rowords.cpp: In function 'void io::setOut(std::__cxx11::string)':
rowords.cpp:136:36: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setOut(string s) { freopen(s.c_str(),"w",stdout); }
                             ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 504 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 9 ms 6008 KB Output is correct
7 Correct 52 ms 20088 KB Output is correct
8 Correct 96 ms 20092 KB Output is correct
9 Correct 98 ms 20024 KB Output is correct
10 Correct 84 ms 19960 KB Output is correct
11 Correct 85 ms 22008 KB Output is correct
12 Correct 65 ms 25464 KB Output is correct
13 Correct 132 ms 25208 KB Output is correct
14 Correct 100 ms 23008 KB Output is correct
15 Correct 121 ms 26744 KB Output is correct
16 Correct 118 ms 22012 KB Output is correct
17 Correct 62 ms 19064 KB Output is correct
18 Correct 113 ms 26876 KB Output is correct
19 Correct 78 ms 20088 KB Output is correct
20 Correct 123 ms 24056 KB Output is correct
21 Correct 20 ms 11256 KB Output is correct
22 Correct 35 ms 14712 KB Output is correct
23 Correct 47 ms 17528 KB Output is correct
24 Correct 49 ms 18472 KB Output is correct
25 Correct 70 ms 22524 KB Output is correct