Submission #419554

# Submission time Handle Problem Language Result Execution time Memory
419554 2021-06-07T09:22:34 Z cfalas Crossing (JOI21_crossing) C++14
100 / 100
4075 ms 33456 KB
#include<bits/stdc++.h>
using namespace std;
#define mp make_pair
#define INF 10000000
#define MOD 1000000007
#define MID ((l+r)/2)
#define HASHMOD 2305843009213693951
#define ll long long
#define ull unsigned long long
#define F first
#define S second
typedef pair<ll, ll> ii;
typedef pair<ii, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef map<int, int> mii;

#define EPS 1e-6
#define FOR(i,n) for(int i=0;i<((int)(n));i++)
#define FORi(i,a,b) for(int i=((int)(a));i<((int)(b));i++)
#define FOA(v, a) for(auto v : a)

int t, n;
vi a, b;

#define Q 4
#define enumer(x) (x=='I' ? 1 : (x=='J' ? 2 : 3))

string cross(string a, string b){
	FOR(i,a.size()){
		if(a[i]==b[i]) continue;
		if(a[i]+b[i]=='O'+'I') a[i] = 'J';
		else if(a[i]+b[i]=='J'+'I') a[i] = 'O';
		else if(a[i]+b[i]=='O'+'J') a[i] = 'I';
	}
	return a;
}

ll mpow(ll a, ll b, ll m){
	if(b==0) return 1;
	if(b==1) return a;
	ll z = mpow(a, b/2, m);
	z*=z;
	z%=m;
	if(b%2) z*=a;
	return z%m;
}

ll inv(ll x, ll m){
	return mpow(x, m-2, m);
}


#define NMOD 1
ll invx[NMOD];
ll mods[NMOD] = {MOD+200};

template<typename T>
struct seg_tree{
	struct node{
		vector<T> val;
		T laz;
		int left=-1;
		int right=-1;
		node() {val.assign(NMOD, 0); laz=0, left=-1, right=-1;}
		node(T v){ val.assign(NMOD, v);}
	};
	vector<node> seg;
	static inline int N;
	const int RAND_VALUE=0;
	seg_tree(int n){N=n, seg.assign(1, node());}

	inline node merge(node par, node a, node b, int l, int r){
		node ret;
		ret.left = par.left, ret.right = par.right;
		FOR(m,NMOD) ret.val[m] = ((a.val[m] * mpow(Q, r-MID, mods[m]))%mods[m] + b.val[m])%mods[m];
		return ret;
	}

	inline void update_node(int ind, int val, int l, int r){
		FOR(m,NMOD){
			seg[ind].val[m] = (val * (mpow(Q, (r-l+1), mods[m])-1) * invx[m])%mods[m];
		}
		seg[ind].laz = val;
	}

	inline void down(node &par, int l, int r){
		if(par.laz){
		FOR(m,NMOD){ 
			seg[par.left].val[m] = (((par.laz * (mpow(Q, (MID-l+1), mods[m])-1))%mods[m]) * invx[m])%mods[m];
			seg[par.right].val[m] = (((par.laz * (mpow(Q, (r-MID), mods[m])-1))%mods[m]) * invx[m])%mods[m];
		}

			seg[par.left].laz = par.laz;
			seg[par.right].laz = par.laz;
		}

		par.laz = 0;
	}

	inline void create_children(int ind){
		node par = seg[ind];
		if(par.left==-1) par.left=seg.size(), seg.push_back(node());
		if(par.right==-1) par.right=seg.size(), seg.push_back(node());
		seg[ind] = par;
	}

	void build(vector<T>& arr, int l=0, int r=N-1, int ind=0){
		if(l==r) seg[ind] = node(arr[l]);
		else{
			create_children(ind);
			build(arr,l,MID,seg[ind].left);
			build(arr,MID+1,r,seg[ind].right);

			seg[ind] = merge(seg[ind], seg[seg[ind].left], seg[seg[ind].right], l,r);
		}
	}

	void update(int rl, int rr, int val, int l=0, int r=N-1, int ind=0){
		if(rl<=l && r<=rr) update_node(ind, val,l,r);
		else if(rr<l || r<rl) return;
		else{
			create_children(ind);
			down(seg[ind],l,r);
			update(rl,rr,val,l,MID,seg[ind].left);
			update(rl,rr,val,MID+1,r,seg[ind].right);
			seg[ind] = merge(seg[ind], seg[seg[ind].left], seg[seg[ind].right], l,r);
		}
	}

	node _query(int rl, int rr, int l=0, int r=N-1, int ind=0){
		if(rl<=l && r<=rr) return seg[ind];
		else if(rl>r || l>rr) return node(RAND_VALUE);
		else{
			create_children(ind);
			down(seg[ind],l,r);
			return merge(seg[ind], _query(rl, rr, l, MID, seg[ind].left), _query(rl,rr,MID+1,r,seg[ind].right), l, r);
		}
	}

	vector<T> query(int l, int r){
		return _query(l,r).val;
	}
	
};

vector<ll> hsh(string s){
	vector<ll> a;
	FOR(m, NMOD){
		ll x = 0;
		FOA(v, s){
			x*=Q;
			x+=enumer(v);
			x%=mods[m];
		}
		a.push_back(x);
	}
	return a;
}

int main(){
	ios::sync_with_stdio(false);
	cin.tie(0);
	FOR(i, NMOD) invx[i] = inv(Q-1, mods[i]);
	int n;
	cin>>n;
	string s[3];
	cin>>s[0]>>s[1]>>s[2];
	set<string> all;
	set<vector<ll> > hshs;
	int p=0;
	hshs.insert(hsh(s[0]));
	hshs.insert(hsh(s[1]));
	hshs.insert(hsh(s[2]));
	all.insert(s[0]);
	all.insert(s[1]);
	all.insert(s[2]);
	while(p!=(int)all.size()){
		p = all.size();
		FOA(a, all){
			FOA(b, all){
				if(a==b) continue;
				hshs.insert(hsh(cross(a,b)));
				all.insert(cross(a,b));
			}
		}
	}
	//FOA(v, all) cout<<v<<" "<<hsh(v)<<endl;

	seg_tree<ll> seg(n);

	int q;
	cin>>q;
	string t;
	cin>>t;
	vector<ll> b(n);
	FOR(i,n) b[i] = enumer(t[i]);
	seg.build(b);
	do{
		//cout<<seg.query(0, n-1)<<endl;
		if(hshs.count(seg.query(0, n-1))) cout<<"Yes\n";
		else cout<<"No\n";
		if(q==0) break;
		int l, r;
		char c;
		cin>>l>>r>>c;
		seg.update(l-1, r-1, enumer(c));
	}while(q--);


}

Compilation message

Main.cpp:69:9: warning: inline variables are only available with '-std=c++17' or '-std=gnu++17'
   69 |  static inline int N;
      |         ^~~~~~
# Verdict Execution time Memory Grader output
1 Correct 396 ms 788 KB Output is correct
2 Correct 459 ms 940 KB Output is correct
3 Correct 551 ms 1024 KB Output is correct
4 Correct 402 ms 944 KB Output is correct
5 Correct 365 ms 828 KB Output is correct
6 Correct 365 ms 836 KB Output is correct
7 Correct 365 ms 876 KB Output is correct
8 Correct 396 ms 876 KB Output is correct
9 Correct 403 ms 872 KB Output is correct
10 Correct 388 ms 828 KB Output is correct
11 Correct 397 ms 980 KB Output is correct
12 Correct 428 ms 808 KB Output is correct
13 Correct 396 ms 924 KB Output is correct
14 Correct 402 ms 860 KB Output is correct
15 Correct 425 ms 860 KB Output is correct
16 Correct 433 ms 856 KB Output is correct
17 Correct 416 ms 832 KB Output is correct
18 Correct 493 ms 920 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 396 ms 788 KB Output is correct
2 Correct 459 ms 940 KB Output is correct
3 Correct 551 ms 1024 KB Output is correct
4 Correct 402 ms 944 KB Output is correct
5 Correct 365 ms 828 KB Output is correct
6 Correct 365 ms 836 KB Output is correct
7 Correct 365 ms 876 KB Output is correct
8 Correct 396 ms 876 KB Output is correct
9 Correct 403 ms 872 KB Output is correct
10 Correct 388 ms 828 KB Output is correct
11 Correct 397 ms 980 KB Output is correct
12 Correct 428 ms 808 KB Output is correct
13 Correct 396 ms 924 KB Output is correct
14 Correct 402 ms 860 KB Output is correct
15 Correct 425 ms 860 KB Output is correct
16 Correct 433 ms 856 KB Output is correct
17 Correct 416 ms 832 KB Output is correct
18 Correct 493 ms 920 KB Output is correct
19 Correct 3294 ms 31648 KB Output is correct
20 Correct 3645 ms 31628 KB Output is correct
21 Correct 1837 ms 31336 KB Output is correct
22 Correct 1842 ms 31124 KB Output is correct
23 Correct 987 ms 2480 KB Output is correct
24 Correct 1008 ms 2424 KB Output is correct
25 Correct 2068 ms 31556 KB Output is correct
26 Correct 2000 ms 31572 KB Output is correct
27 Correct 2376 ms 31648 KB Output is correct
28 Correct 2307 ms 31676 KB Output is correct
29 Correct 2159 ms 31444 KB Output is correct
30 Correct 1068 ms 2556 KB Output is correct
31 Correct 2151 ms 31640 KB Output is correct
32 Correct 2044 ms 31260 KB Output is correct
33 Correct 956 ms 2516 KB Output is correct
34 Correct 2164 ms 31612 KB Output is correct
35 Correct 1586 ms 30832 KB Output is correct
36 Correct 936 ms 2444 KB Output is correct
37 Correct 940 ms 2452 KB Output is correct
38 Correct 2797 ms 31764 KB Output is correct
39 Correct 1320 ms 31760 KB Output is correct
40 Correct 1565 ms 21208 KB Output is correct
41 Correct 3582 ms 32032 KB Output is correct
42 Correct 207 ms 31848 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 396 ms 788 KB Output is correct
2 Correct 459 ms 940 KB Output is correct
3 Correct 551 ms 1024 KB Output is correct
4 Correct 402 ms 944 KB Output is correct
5 Correct 365 ms 828 KB Output is correct
6 Correct 365 ms 836 KB Output is correct
7 Correct 365 ms 876 KB Output is correct
8 Correct 396 ms 876 KB Output is correct
9 Correct 403 ms 872 KB Output is correct
10 Correct 388 ms 828 KB Output is correct
11 Correct 397 ms 980 KB Output is correct
12 Correct 428 ms 808 KB Output is correct
13 Correct 396 ms 924 KB Output is correct
14 Correct 402 ms 860 KB Output is correct
15 Correct 425 ms 860 KB Output is correct
16 Correct 433 ms 856 KB Output is correct
17 Correct 416 ms 832 KB Output is correct
18 Correct 493 ms 920 KB Output is correct
19 Correct 443 ms 860 KB Output is correct
20 Correct 543 ms 848 KB Output is correct
21 Correct 387 ms 964 KB Output is correct
22 Correct 327 ms 836 KB Output is correct
23 Correct 388 ms 924 KB Output is correct
24 Correct 375 ms 936 KB Output is correct
25 Correct 408 ms 984 KB Output is correct
26 Correct 341 ms 1084 KB Output is correct
27 Correct 389 ms 868 KB Output is correct
28 Correct 357 ms 796 KB Output is correct
29 Correct 393 ms 964 KB Output is correct
30 Correct 328 ms 872 KB Output is correct
31 Correct 389 ms 872 KB Output is correct
32 Correct 389 ms 836 KB Output is correct
33 Correct 400 ms 852 KB Output is correct
34 Correct 334 ms 840 KB Output is correct
35 Correct 396 ms 876 KB Output is correct
36 Correct 401 ms 964 KB Output is correct
37 Correct 396 ms 840 KB Output is correct
38 Correct 395 ms 804 KB Output is correct
39 Correct 387 ms 836 KB Output is correct
40 Correct 399 ms 872 KB Output is correct
41 Correct 392 ms 1008 KB Output is correct
42 Correct 396 ms 836 KB Output is correct
43 Correct 366 ms 968 KB Output is correct
44 Correct 402 ms 876 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 396 ms 788 KB Output is correct
2 Correct 459 ms 940 KB Output is correct
3 Correct 551 ms 1024 KB Output is correct
4 Correct 402 ms 944 KB Output is correct
5 Correct 365 ms 828 KB Output is correct
6 Correct 365 ms 836 KB Output is correct
7 Correct 365 ms 876 KB Output is correct
8 Correct 396 ms 876 KB Output is correct
9 Correct 403 ms 872 KB Output is correct
10 Correct 388 ms 828 KB Output is correct
11 Correct 397 ms 980 KB Output is correct
12 Correct 428 ms 808 KB Output is correct
13 Correct 396 ms 924 KB Output is correct
14 Correct 402 ms 860 KB Output is correct
15 Correct 425 ms 860 KB Output is correct
16 Correct 433 ms 856 KB Output is correct
17 Correct 416 ms 832 KB Output is correct
18 Correct 493 ms 920 KB Output is correct
19 Correct 3294 ms 31648 KB Output is correct
20 Correct 3645 ms 31628 KB Output is correct
21 Correct 1837 ms 31336 KB Output is correct
22 Correct 1842 ms 31124 KB Output is correct
23 Correct 987 ms 2480 KB Output is correct
24 Correct 1008 ms 2424 KB Output is correct
25 Correct 2068 ms 31556 KB Output is correct
26 Correct 2000 ms 31572 KB Output is correct
27 Correct 2376 ms 31648 KB Output is correct
28 Correct 2307 ms 31676 KB Output is correct
29 Correct 2159 ms 31444 KB Output is correct
30 Correct 1068 ms 2556 KB Output is correct
31 Correct 2151 ms 31640 KB Output is correct
32 Correct 2044 ms 31260 KB Output is correct
33 Correct 956 ms 2516 KB Output is correct
34 Correct 2164 ms 31612 KB Output is correct
35 Correct 1586 ms 30832 KB Output is correct
36 Correct 936 ms 2444 KB Output is correct
37 Correct 940 ms 2452 KB Output is correct
38 Correct 2797 ms 31764 KB Output is correct
39 Correct 1320 ms 31760 KB Output is correct
40 Correct 1565 ms 21208 KB Output is correct
41 Correct 3582 ms 32032 KB Output is correct
42 Correct 207 ms 31848 KB Output is correct
43 Correct 443 ms 860 KB Output is correct
44 Correct 543 ms 848 KB Output is correct
45 Correct 387 ms 964 KB Output is correct
46 Correct 327 ms 836 KB Output is correct
47 Correct 388 ms 924 KB Output is correct
48 Correct 375 ms 936 KB Output is correct
49 Correct 408 ms 984 KB Output is correct
50 Correct 341 ms 1084 KB Output is correct
51 Correct 389 ms 868 KB Output is correct
52 Correct 357 ms 796 KB Output is correct
53 Correct 393 ms 964 KB Output is correct
54 Correct 328 ms 872 KB Output is correct
55 Correct 389 ms 872 KB Output is correct
56 Correct 389 ms 836 KB Output is correct
57 Correct 400 ms 852 KB Output is correct
58 Correct 334 ms 840 KB Output is correct
59 Correct 396 ms 876 KB Output is correct
60 Correct 401 ms 964 KB Output is correct
61 Correct 396 ms 840 KB Output is correct
62 Correct 395 ms 804 KB Output is correct
63 Correct 387 ms 836 KB Output is correct
64 Correct 399 ms 872 KB Output is correct
65 Correct 392 ms 1008 KB Output is correct
66 Correct 396 ms 836 KB Output is correct
67 Correct 366 ms 968 KB Output is correct
68 Correct 402 ms 876 KB Output is correct
69 Correct 3184 ms 32432 KB Output is correct
70 Correct 3698 ms 33364 KB Output is correct
71 Correct 981 ms 2600 KB Output is correct
72 Correct 930 ms 2524 KB Output is correct
73 Correct 955 ms 2520 KB Output is correct
74 Correct 1811 ms 31580 KB Output is correct
75 Correct 940 ms 2388 KB Output is correct
76 Correct 1841 ms 32116 KB Output is correct
77 Correct 1727 ms 31552 KB Output is correct
78 Correct 957 ms 2448 KB Output is correct
79 Correct 942 ms 2572 KB Output is correct
80 Correct 2033 ms 32304 KB Output is correct
81 Correct 978 ms 2516 KB Output is correct
82 Correct 2502 ms 33348 KB Output is correct
83 Correct 2395 ms 33028 KB Output is correct
84 Correct 984 ms 2668 KB Output is correct
85 Correct 975 ms 2596 KB Output is correct
86 Correct 2253 ms 32268 KB Output is correct
87 Correct 2467 ms 33384 KB Output is correct
88 Correct 1038 ms 2672 KB Output is correct
89 Correct 2171 ms 32648 KB Output is correct
90 Correct 2389 ms 33260 KB Output is correct
91 Correct 1082 ms 2508 KB Output is correct
92 Correct 2078 ms 32084 KB Output is correct
93 Correct 963 ms 2536 KB Output is correct
94 Correct 982 ms 2592 KB Output is correct
95 Correct 990 ms 2688 KB Output is correct
96 Correct 2822 ms 31808 KB Output is correct
97 Correct 1496 ms 33304 KB Output is correct
98 Correct 1979 ms 22344 KB Output is correct
99 Correct 4075 ms 33456 KB Output is correct
100 Correct 720 ms 33384 KB Output is correct