oj.uz

Submission #670499

# Submission time Handle Problem Language Result Execution time Memory
670499 2022-12-09T10:21:05 Z PoPularPlusPlus Crossing (JOI21_crossing) C++17
100 / 100
 274 ms 24904 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ull unsigned long long 
#define pb(e) push_back(e)
#define sv(a) sort(a.begin(),a.end())
#define sa(a,n) sort(a,a+n)
#define mp(a,b) make_pair(a,b)
#define vf first
#define vs second
#define ar array
#define all(x) x.begin(),x.end()
const int inf = 0x3f3f3f3f;
const int mod = 1000000007; 
const double PI=3.14159265358979323846264338327950288419716939937510582097494459230;
bool remender(ll a , ll b){return a%b;}

//freopen("problemname.in", "r", stdin);
//freopen("problemname.out", "w", stdout);

const int C = 7 , N = 300002;

vector<int> hashes;

int base[N][4];

int add(ll x , ll y){
	return (x + y) % mod;
}

int mul(ll x , ll y){
	return (x * y) % mod;
}

struct Seg {
	int siz;
	vector<int> hash;
	vector<int> lazy;
	
	void init(int n){
		siz = 1;
		while(siz < n)siz *= 2;
		siz *= 2;
		lazy.assign(siz * 2 , -1);
		hash.assign(siz * 2 , 0);
	}
	
	void build(vector<int>& v , int x , int lx , int rx){
		if(rx - lx == 1){
			if(lx < (int)v.size())hash[x] = v[lx];
			return;
		}
		int m = (lx + rx)/2;
		build(v , 2 * x + 1 , lx , m);
		build(v , 2 * x + 2 , m , rx);
		hash[x] = add(hash[2 * x + 1] , mul(base[m-lx][3] , hash[2 *x + 2]));
		//cout << x << ' ' << hash[x] << '\n';
	}
	
	void build(vector<int>& v){
		build(v , 0 , 0 , siz);
	}
	
	void set(int l , int r , int v, int x , int lx , int rx){
		if(lazy[x] != -1){
			hash[x] = base[rx-lx][lazy[x]];
			if(rx - lx != 1){
				lazy[2 * x + 1] = lazy[x];
				lazy[2 * x + 2] = lazy[x];
				lazy[x] = -1;
			}
		}
		if(rx <= l || r <= lx)return;
		if(lx >= l && rx <= r){
			hash[x] = base[rx-lx][v];
			lazy[x] = v;
			return;
		}
		int m = (lx + rx)/2;
		set(l , r , v , 2 * x + 1 , lx , m);
		set(l , r , v , 2 * x + 2 , m , rx);
		hash[x] = add(hash[2 * x + 1] , mul(base[m-lx][3] , hash[2 *x + 2]));
	}
	
	void set(int l , int r , int v){
		set(l , r , v , 0 , 0 , siz);
	}
};


vector<int> convert(string s){
	vector<int> ans;
	for(int i = 0; i < (int)s.size(); i++){
		if(s[i] == 'J')ans.pb(0);
		else if(s[i] == 'O')ans.pb(1);
		else ans.pb(2);
	}
	return ans;
}

vector<int> merge(vector<int> s , vector<int> t){
	for(int i = 0; i < (int)s.size(); i++){
		if(s[i] != t[i]){
			if(s[i]!=0 && t[i] != 0)s[i] = 0;
			else if(s[i]!=1 && t[i] != 1)s[i] = 1;
			else s[i] = 2;
		}
	}
	return s;
}

int hashing(vector<int>& v){
	int ans = 0;
	for(int i = 0; i < (int)v.size(); i++){
		ans = add(ans , mul(base[i][3] , v[i]));
	}
	return ans;
}

string find(int x){
	for(int i = 0; i < 9; i++){
		if(x == hashes[i])return "Yes";
	}
	return "No";
}

void solve(){
	int n;
	cin >> n;
	string a,b,c;
	cin >> a >> b >> c;
	vector<vector<int>> v;
	v.pb(convert(a));
	v.pb(convert(b));
	v.pb(convert(c));
	v.pb(merge(v[0],v[1]));
	v.pb(merge(v[1],v[2]));
	v.pb(merge(v[0],v[2]));
	v.pb(merge(v[3] , v[2]));
	v.pb(merge(v[4] , v[0]));
	v.pb(merge(v[5] , v[1]));
		
	base[0][0] = 0;
	base[0][1] = 0;
	base[0][2] = 0;
	base[0][3] = 1;
	
	for(int i = 1; i < N; i++){
		base[i][3] = mul(base[i-1][3],C);
		for(int j = 0; j < 3; j++){
			base[i][j] = add(base[i-1][j] , mul(j,base[i-1][3])); 
		}
	}
	
	for(int i = 0; i < 9; i++){
		hashes.pb(hashing(v[i]));
		//cout << hashes[i] << ' ';
	}
		
	int q;
	cin >> q;
	string t;
	cin >> t;
	vector<int> t1 = convert(t);
	Seg st;
	st.init(n);
	st.build(t1);
	cout << find(st.hash[0]) << '\n';
	while(q--){
		int l , r;
		cin >> l >> r;
		char c1;
		cin >> c1;
		int v1;
		if(c1 == 'J')v1 = 0;
		else if(c1 == 'O')v1 = 1;
		else v1 = 2;
		l--;
		st.set(l , r , v1);
		cout << find(st.hash[0]) << '\n';
	}
}

int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
	//int t;cin >> t;while(t--)
	solve();
	return 0;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 83 ms 5892 KB Output is correct
2 Correct 88 ms 5964 KB Output is correct
3 Correct 88 ms 5964 KB Output is correct
4 Correct 87 ms 5980 KB Output is correct
5 Correct 77 ms 5808 KB Output is correct
6 Correct 76 ms 5860 KB Output is correct
7 Correct 81 ms 5840 KB Output is correct
8 Correct 80 ms 5804 KB Output is correct
9 Correct 81 ms 5876 KB Output is correct
10 Correct 81 ms 5836 KB Output is correct
11 Correct 81 ms 5872 KB Output is correct
12 Correct 81 ms 5780 KB Output is correct
13 Correct 88 ms 5816 KB Output is correct
14 Correct 81 ms 5792 KB Output is correct
15 Correct 81 ms 5836 KB Output is correct
16 Correct 81 ms 5772 KB Output is correct
17 Correct 84 ms 5772 KB Output is correct
18 Correct 86 ms 5996 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 83 ms 5892 KB Output is correct
2 Correct 88 ms 5964 KB Output is correct
3 Correct 88 ms 5964 KB Output is correct
4 Correct 87 ms 5980 KB Output is correct
5 Correct 77 ms 5808 KB Output is correct
6 Correct 76 ms 5860 KB Output is correct
7 Correct 81 ms 5840 KB Output is correct
8 Correct 80 ms 5804 KB Output is correct
9 Correct 81 ms 5876 KB Output is correct
10 Correct 81 ms 5836 KB Output is correct
11 Correct 81 ms 5872 KB Output is correct
12 Correct 81 ms 5780 KB Output is correct
13 Correct 88 ms 5816 KB Output is correct
14 Correct 81 ms 5792 KB Output is correct
15 Correct 81 ms 5836 KB Output is correct
16 Correct 81 ms 5772 KB Output is correct
17 Correct 84 ms 5772 KB Output is correct
18 Correct 86 ms 5996 KB Output is correct
19 Correct 238 ms 24800 KB Output is correct
20 Correct 260 ms 24696 KB Output is correct
21 Correct 168 ms 24068 KB Output is correct
22 Correct 169 ms 23360 KB Output is correct
23 Correct 131 ms 7464 KB Output is correct
24 Correct 126 ms 7524 KB Output is correct
25 Correct 179 ms 24736 KB Output is correct
26 Correct 179 ms 24740 KB Output is correct
27 Correct 210 ms 24896 KB Output is correct
28 Correct 214 ms 24732 KB Output is correct
29 Correct 196 ms 24496 KB Output is correct
30 Correct 141 ms 7548 KB Output is correct
31 Correct 203 ms 24712 KB Output is correct
32 Correct 189 ms 23852 KB Output is correct
33 Correct 123 ms 7436 KB Output is correct
34 Correct 207 ms 24732 KB Output is correct
35 Correct 159 ms 22336 KB Output is correct
36 Correct 125 ms 7356 KB Output is correct
37 Correct 126 ms 7380 KB Output is correct
38 Correct 225 ms 24732 KB Output is correct
39 Correct 149 ms 24684 KB Output is correct
40 Correct 166 ms 17124 KB Output is correct
41 Correct 255 ms 24904 KB Output is correct
42 Correct 111 ms 24872 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 83 ms 5892 KB Output is correct
2 Correct 88 ms 5964 KB Output is correct
3 Correct 88 ms 5964 KB Output is correct
4 Correct 87 ms 5980 KB Output is correct
5 Correct 77 ms 5808 KB Output is correct
6 Correct 76 ms 5860 KB Output is correct
7 Correct 81 ms 5840 KB Output is correct
8 Correct 80 ms 5804 KB Output is correct
9 Correct 81 ms 5876 KB Output is correct
10 Correct 81 ms 5836 KB Output is correct
11 Correct 81 ms 5872 KB Output is correct
12 Correct 81 ms 5780 KB Output is correct
13 Correct 88 ms 5816 KB Output is correct
14 Correct 81 ms 5792 KB Output is correct
15 Correct 81 ms 5836 KB Output is correct
16 Correct 81 ms 5772 KB Output is correct
17 Correct 84 ms 5772 KB Output is correct
18 Correct 86 ms 5996 KB Output is correct
19 Correct 85 ms 5956 KB Output is correct
20 Correct 91 ms 5780 KB Output is correct
21 Correct 80 ms 5860 KB Output is correct
22 Correct 74 ms 5788 KB Output is correct
23 Correct 84 ms 5864 KB Output is correct
24 Correct 81 ms 5792 KB Output is correct
25 Correct 83 ms 5836 KB Output is correct
26 Correct 79 ms 5844 KB Output is correct
27 Correct 80 ms 5828 KB Output is correct
28 Correct 75 ms 5840 KB Output is correct
29 Correct 81 ms 5804 KB Output is correct
30 Correct 78 ms 5764 KB Output is correct
31 Correct 82 ms 5772 KB Output is correct
32 Correct 84 ms 5872 KB Output is correct
33 Correct 83 ms 5828 KB Output is correct
34 Correct 79 ms 5780 KB Output is correct
35 Correct 82 ms 5756 KB Output is correct
36 Correct 81 ms 5864 KB Output is correct
37 Correct 83 ms 5752 KB Output is correct
38 Correct 81 ms 5836 KB Output is correct
39 Correct 87 ms 5784 KB Output is correct
40 Correct 82 ms 5804 KB Output is correct
41 Correct 80 ms 5868 KB Output is correct
42 Correct 84 ms 5868 KB Output is correct
43 Correct 82 ms 5836 KB Output is correct
44 Correct 82 ms 5784 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 83 ms 5892 KB Output is correct
2 Correct 88 ms 5964 KB Output is correct
3 Correct 88 ms 5964 KB Output is correct
4 Correct 87 ms 5980 KB Output is correct
5 Correct 77 ms 5808 KB Output is correct
6 Correct 76 ms 5860 KB Output is correct
7 Correct 81 ms 5840 KB Output is correct
8 Correct 80 ms 5804 KB Output is correct
9 Correct 81 ms 5876 KB Output is correct
10 Correct 81 ms 5836 KB Output is correct
11 Correct 81 ms 5872 KB Output is correct
12 Correct 81 ms 5780 KB Output is correct
13 Correct 88 ms 5816 KB Output is correct
14 Correct 81 ms 5792 KB Output is correct
15 Correct 81 ms 5836 KB Output is correct
16 Correct 81 ms 5772 KB Output is correct
17 Correct 84 ms 5772 KB Output is correct
18 Correct 86 ms 5996 KB Output is correct
19 Correct 238 ms 24800 KB Output is correct
20 Correct 260 ms 24696 KB Output is correct
21 Correct 168 ms 24068 KB Output is correct
22 Correct 169 ms 23360 KB Output is correct
23 Correct 131 ms 7464 KB Output is correct
24 Correct 126 ms 7524 KB Output is correct
25 Correct 179 ms 24736 KB Output is correct
26 Correct 179 ms 24740 KB Output is correct
27 Correct 210 ms 24896 KB Output is correct
28 Correct 214 ms 24732 KB Output is correct
29 Correct 196 ms 24496 KB Output is correct
30 Correct 141 ms 7548 KB Output is correct
31 Correct 203 ms 24712 KB Output is correct
32 Correct 189 ms 23852 KB Output is correct
33 Correct 123 ms 7436 KB Output is correct
34 Correct 207 ms 24732 KB Output is correct
35 Correct 159 ms 22336 KB Output is correct
36 Correct 125 ms 7356 KB Output is correct
37 Correct 126 ms 7380 KB Output is correct
38 Correct 225 ms 24732 KB Output is correct
39 Correct 149 ms 24684 KB Output is correct
40 Correct 166 ms 17124 KB Output is correct
41 Correct 255 ms 24904 KB Output is correct
42 Correct 111 ms 24872 KB Output is correct
43 Correct 85 ms 5956 KB Output is correct
44 Correct 91 ms 5780 KB Output is correct
45 Correct 80 ms 5860 KB Output is correct
46 Correct 74 ms 5788 KB Output is correct
47 Correct 84 ms 5864 KB Output is correct
48 Correct 81 ms 5792 KB Output is correct
49 Correct 83 ms 5836 KB Output is correct
50 Correct 79 ms 5844 KB Output is correct
51 Correct 80 ms 5828 KB Output is correct
52 Correct 75 ms 5840 KB Output is correct
53 Correct 81 ms 5804 KB Output is correct
54 Correct 78 ms 5764 KB Output is correct
55 Correct 82 ms 5772 KB Output is correct
56 Correct 84 ms 5872 KB Output is correct
57 Correct 83 ms 5828 KB Output is correct
58 Correct 79 ms 5780 KB Output is correct
59 Correct 82 ms 5756 KB Output is correct
60 Correct 81 ms 5864 KB Output is correct
61 Correct 83 ms 5752 KB Output is correct
62 Correct 81 ms 5836 KB Output is correct
63 Correct 87 ms 5784 KB Output is correct
64 Correct 82 ms 5804 KB Output is correct
65 Correct 80 ms 5868 KB Output is correct
66 Correct 84 ms 5868 KB Output is correct
67 Correct 82 ms 5836 KB Output is correct
68 Correct 82 ms 5784 KB Output is correct
69 Correct 221 ms 23184 KB Output is correct
70 Correct 274 ms 24680 KB Output is correct
71 Correct 124 ms 7368 KB Output is correct
72 Correct 123 ms 7460 KB Output is correct
73 Correct 123 ms 7416 KB Output is correct
74 Correct 171 ms 23096 KB Output is correct
75 Correct 126 ms 7372 KB Output is correct
76 Correct 188 ms 24760 KB Output is correct
77 Correct 175 ms 23112 KB Output is correct
78 Correct 124 ms 7364 KB Output is correct
79 Correct 129 ms 7364 KB Output is correct
80 Correct 169 ms 21932 KB Output is correct
81 Correct 123 ms 7420 KB Output is correct
82 Correct 203 ms 24724 KB Output is correct
83 Correct 188 ms 24124 KB Output is correct
84 Correct 132 ms 7356 KB Output is correct
85 Correct 141 ms 7352 KB Output is correct
86 Correct 197 ms 22396 KB Output is correct
87 Correct 199 ms 24724 KB Output is correct
88 Correct 136 ms 7372 KB Output is correct
89 Correct 184 ms 23556 KB Output is correct
90 Correct 195 ms 24732 KB Output is correct
91 Correct 130 ms 7368 KB Output is correct
92 Correct 179 ms 22564 KB Output is correct
93 Correct 122 ms 7424 KB Output is correct
94 Correct 122 ms 7368 KB Output is correct
95 Correct 123 ms 7392 KB Output is correct
96 Correct 219 ms 24672 KB Output is correct
97 Correct 148 ms 24604 KB Output is correct
98 Correct 162 ms 16876 KB Output is correct
99 Correct 264 ms 24740 KB Output is correct
100 Correct 127 ms 24828 KB Output is correct