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Submission #888449

# Submission time Handle Problem Language Result Execution time Memory
888449 2023-12-17T12:36:32 Z Hakiers Crossing (JOI21_crossing) C++17
100 / 100
 340 ms 40160 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
constexpr int MAXN = 2e5 + 7;
constexpr int BASE = 1 << 18;
constexpr ll mod = 1e9 + 7;
constexpr ll P = 7;
map<ll, bool> mapa;
int GENE[MAXN][3];
int gen[MAXN][9];
int wzorzec[MAXN];
ll TREE[BASE << 1];
ll LAZY[BASE << 1];
ll pot[BASE];
ll sumpot[BASE];
int n, q;

void generate(){
	// -(A+B)
	for(int i = 1; i <= n; i++)
		gen[i][0] = (-(GENE[i][0] + GENE[i][1]) + 6)%3;
	// -(A+C)
	for(int i = 1; i <= n; i++)
		gen[i][1] = (-(GENE[i][0] + GENE[i][2]) + 6)%3;
	// -(B+C)
	for(int i = 1; i <= n; i++)
		gen[i][2] = (-(GENE[i][1] + GENE[i][2]) + 6)%3;	
	// (A+B-C)
	for(int i = 1; i <= n; i++)
		gen[i][3] = ((GENE[i][0] + GENE[i][1] - GENE[i][2]) + 6)%3;	
	// (A-B+C)
	for(int i = 1; i <= n; i++)
		gen[i][4] = ((GENE[i][0] - GENE[i][1] + GENE[i][2]) + 6)%3;
	//(-A+B+C)
	for(int i = 1; i <= n; i++)
		gen[i][5] = ((-GENE[i][0] + GENE[i][1] + GENE[i][2]) + 6)%3;
	//default
	for(int i = 1; i <= n; i++){
		gen[i][6] = GENE[i][0];
		gen[i][7] = GENE[i][1];
		gen[i][8] = GENE[i][2];
	}	
}

void compute(){
	pot[0] = 1;
	sumpot[0] = pot[0];
	for(int i = 1; i <= n; i++){
		pot[i] = (P*pot[i-1])%mod;
		sumpot[i] = (pot[i] + sumpot[i-1])%mod;
	}
}

void makehash(int v){
	ll act = 0;
	for(int i = 1; i <= n; i++)
		act = (act + (gen[i][v]*pot[i])%mod)%mod;

	mapa[act] = 1;
}

ll sum(int a, int b){
	ll out = (sumpot[b] - sumpot[a-1])%mod;
	
	while(out < 0)
		out += mod;
	
	return out;
}

void push(int v, int l, int r, int a, int b, int mid){
	if(LAZY[v] >= 0){
		LAZY[l] = LAZY[v];
		LAZY[r] = LAZY[v];
		
		TREE[l] = (LAZY[v]*sum(a, mid))%mod;
		TREE[r] = (LAZY[v]*sum(mid+1, b))%mod;
	}
	LAZY[v] = -1;
}

void update(int v, int a, int b, int l, int r, ll x){
	if(b < l || r < a) return;
	else if(l <= a && b <= r){
		TREE[v] = (x*sum(a, b))%mod;
		LAZY[v] = x;
	}
	else{
		int mid = (a+b)/2;
		push(v, 2*v, 2*v+1, a, b, mid);
		update(2*v, a, mid, l, r, x);
		update(2*v+1, mid+1, b, l, r, x);
		
		TREE[v] = (TREE[2*v] + TREE[2*v+1])%mod;
	}
}

bool check(){
	return mapa[(TREE[1]%mod)];
}

void treeinit(){
	for(int i = 0; i <(BASE<<1); i++)
		LAZY[i] = -1;
}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin >> n;
	string str;
	for(int i = 0; i <= 2; i++){
		cin >> str;
		
		for(int j = 0; j < n; j++){
			int a;
			if(str[j] == 'J') a = 0;
			else if(str[j] == 'O') a = 1;
			else a = 2;
			GENE[j+1][i] = a;
		}
	}
	generate();
	compute();
	treeinit();
	for(int i = 0; i < 9; i++)
		makehash(i);
		
	cin >> q;
	cin >> str;
	for(int i = 1; i <= n; i++){
		int a;
		if(str[i-1] == 'J') a = 0;
		else if(str[i-1] == 'O') a = 1;
		else a = 2;
		wzorzec[i] = a;
		update(1, 0, BASE-1, i, i, a);
	}
	
	if(check()) cout << "Yes \n";
	else cout << "No \n";
	
	while(q--){
		int a, b;
		char c;
		cin >> a >> b >> c;
		ll x;
		if(c == 'J') x = 0;
		else if(c == 'O') x = 1;
		else x = 2;
		update(1, 0, BASE-1, a, b, x);
		
		if(check()) cout << "Yes \n";
		else cout << "No \n";
	}

}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 140 ms 26824 KB Output is correct
2 Correct 152 ms 27704 KB Output is correct
3 Correct 124 ms 21240 KB Output is correct
4 Correct 141 ms 27596 KB Output is correct
5 Correct 184 ms 27848 KB Output is correct
6 Correct 144 ms 27116 KB Output is correct
7 Correct 138 ms 27224 KB Output is correct
8 Correct 190 ms 27992 KB Output is correct
9 Correct 160 ms 27764 KB Output is correct
10 Correct 181 ms 29012 KB Output is correct
11 Correct 155 ms 28244 KB Output is correct
12 Correct 147 ms 29204 KB Output is correct
13 Correct 175 ms 28244 KB Output is correct
14 Correct 145 ms 29012 KB Output is correct
15 Correct 146 ms 28244 KB Output is correct
16 Correct 157 ms 29124 KB Output is correct
17 Correct 165 ms 28460 KB Output is correct
18 Correct 122 ms 19528 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 140 ms 26824 KB Output is correct
2 Correct 152 ms 27704 KB Output is correct
3 Correct 124 ms 21240 KB Output is correct
4 Correct 141 ms 27596 KB Output is correct
5 Correct 184 ms 27848 KB Output is correct
6 Correct 144 ms 27116 KB Output is correct
7 Correct 138 ms 27224 KB Output is correct
8 Correct 190 ms 27992 KB Output is correct
9 Correct 160 ms 27764 KB Output is correct
10 Correct 181 ms 29012 KB Output is correct
11 Correct 155 ms 28244 KB Output is correct
12 Correct 147 ms 29204 KB Output is correct
13 Correct 175 ms 28244 KB Output is correct
14 Correct 145 ms 29012 KB Output is correct
15 Correct 146 ms 28244 KB Output is correct
16 Correct 157 ms 29124 KB Output is correct
17 Correct 165 ms 28460 KB Output is correct
18 Correct 122 ms 19528 KB Output is correct
19 Correct 321 ms 36232 KB Output is correct
20 Correct 319 ms 37856 KB Output is correct
21 Correct 263 ms 38576 KB Output is correct
22 Correct 228 ms 36064 KB Output is correct
23 Correct 251 ms 32596 KB Output is correct
24 Correct 175 ms 31312 KB Output is correct
25 Correct 277 ms 39544 KB Output is correct
26 Correct 272 ms 37668 KB Output is correct
27 Correct 298 ms 40160 KB Output is correct
28 Correct 287 ms 37700 KB Output is correct
29 Correct 315 ms 39544 KB Output is correct
30 Correct 223 ms 32344 KB Output is correct
31 Correct 338 ms 40008 KB Output is correct
32 Correct 252 ms 37080 KB Output is correct
33 Correct 175 ms 31176 KB Output is correct
34 Correct 289 ms 37580 KB Output is correct
35 Correct 283 ms 36652 KB Output is correct
36 Correct 167 ms 31260 KB Output is correct
37 Correct 176 ms 31312 KB Output is correct
38 Correct 291 ms 35124 KB Output is correct
39 Correct 231 ms 33916 KB Output is correct
40 Correct 223 ms 36756 KB Output is correct
41 Correct 251 ms 27716 KB Output is correct
42 Correct 207 ms 27344 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 140 ms 26824 KB Output is correct
2 Correct 152 ms 27704 KB Output is correct
3 Correct 124 ms 21240 KB Output is correct
4 Correct 141 ms 27596 KB Output is correct
5 Correct 184 ms 27848 KB Output is correct
6 Correct 144 ms 27116 KB Output is correct
7 Correct 138 ms 27224 KB Output is correct
8 Correct 190 ms 27992 KB Output is correct
9 Correct 160 ms 27764 KB Output is correct
10 Correct 181 ms 29012 KB Output is correct
11 Correct 155 ms 28244 KB Output is correct
12 Correct 147 ms 29204 KB Output is correct
13 Correct 175 ms 28244 KB Output is correct
14 Correct 145 ms 29012 KB Output is correct
15 Correct 146 ms 28244 KB Output is correct
16 Correct 157 ms 29124 KB Output is correct
17 Correct 165 ms 28460 KB Output is correct
18 Correct 122 ms 19528 KB Output is correct
19 Correct 147 ms 27220 KB Output is correct
20 Correct 123 ms 21200 KB Output is correct
21 Correct 156 ms 28456 KB Output is correct
22 Correct 129 ms 26528 KB Output is correct
23 Correct 164 ms 28496 KB Output is correct
24 Correct 146 ms 27492 KB Output is correct
25 Correct 146 ms 28500 KB Output is correct
26 Correct 135 ms 27052 KB Output is correct
27 Correct 221 ms 28624 KB Output is correct
28 Correct 142 ms 27496 KB Output is correct
29 Correct 140 ms 27888 KB Output is correct
30 Correct 133 ms 26936 KB Output is correct
31 Correct 151 ms 28752 KB Output is correct
32 Correct 143 ms 28500 KB Output is correct
33 Correct 155 ms 28012 KB Output is correct
34 Correct 145 ms 27236 KB Output is correct
35 Correct 190 ms 29012 KB Output is correct
36 Correct 143 ms 28240 KB Output is correct
37 Correct 150 ms 29004 KB Output is correct
38 Correct 183 ms 28236 KB Output is correct
39 Correct 150 ms 29240 KB Output is correct
40 Correct 163 ms 28400 KB Output is correct
41 Correct 182 ms 28996 KB Output is correct
42 Correct 142 ms 28248 KB Output is correct
43 Correct 164 ms 27992 KB Output is correct
44 Correct 157 ms 28196 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 140 ms 26824 KB Output is correct
2 Correct 152 ms 27704 KB Output is correct
3 Correct 124 ms 21240 KB Output is correct
4 Correct 141 ms 27596 KB Output is correct
5 Correct 184 ms 27848 KB Output is correct
6 Correct 144 ms 27116 KB Output is correct
7 Correct 138 ms 27224 KB Output is correct
8 Correct 190 ms 27992 KB Output is correct
9 Correct 160 ms 27764 KB Output is correct
10 Correct 181 ms 29012 KB Output is correct
11 Correct 155 ms 28244 KB Output is correct
12 Correct 147 ms 29204 KB Output is correct
13 Correct 175 ms 28244 KB Output is correct
14 Correct 145 ms 29012 KB Output is correct
15 Correct 146 ms 28244 KB Output is correct
16 Correct 157 ms 29124 KB Output is correct
17 Correct 165 ms 28460 KB Output is correct
18 Correct 122 ms 19528 KB Output is correct
19 Correct 321 ms 36232 KB Output is correct
20 Correct 319 ms 37856 KB Output is correct
21 Correct 263 ms 38576 KB Output is correct
22 Correct 228 ms 36064 KB Output is correct
23 Correct 251 ms 32596 KB Output is correct
24 Correct 175 ms 31312 KB Output is correct
25 Correct 277 ms 39544 KB Output is correct
26 Correct 272 ms 37668 KB Output is correct
27 Correct 298 ms 40160 KB Output is correct
28 Correct 287 ms 37700 KB Output is correct
29 Correct 315 ms 39544 KB Output is correct
30 Correct 223 ms 32344 KB Output is correct
31 Correct 338 ms 40008 KB Output is correct
32 Correct 252 ms 37080 KB Output is correct
33 Correct 175 ms 31176 KB Output is correct
34 Correct 289 ms 37580 KB Output is correct
35 Correct 283 ms 36652 KB Output is correct
36 Correct 167 ms 31260 KB Output is correct
37 Correct 176 ms 31312 KB Output is correct
38 Correct 291 ms 35124 KB Output is correct
39 Correct 231 ms 33916 KB Output is correct
40 Correct 223 ms 36756 KB Output is correct
41 Correct 251 ms 27716 KB Output is correct
42 Correct 207 ms 27344 KB Output is correct
43 Correct 147 ms 27220 KB Output is correct
44 Correct 123 ms 21200 KB Output is correct
45 Correct 156 ms 28456 KB Output is correct
46 Correct 129 ms 26528 KB Output is correct
47 Correct 164 ms 28496 KB Output is correct
48 Correct 146 ms 27492 KB Output is correct
49 Correct 146 ms 28500 KB Output is correct
50 Correct 135 ms 27052 KB Output is correct
51 Correct 221 ms 28624 KB Output is correct
52 Correct 142 ms 27496 KB Output is correct
53 Correct 140 ms 27888 KB Output is correct
54 Correct 133 ms 26936 KB Output is correct
55 Correct 151 ms 28752 KB Output is correct
56 Correct 143 ms 28500 KB Output is correct
57 Correct 155 ms 28012 KB Output is correct
58 Correct 145 ms 27236 KB Output is correct
59 Correct 190 ms 29012 KB Output is correct
60 Correct 143 ms 28240 KB Output is correct
61 Correct 150 ms 29004 KB Output is correct
62 Correct 183 ms 28236 KB Output is correct
63 Correct 150 ms 29240 KB Output is correct
64 Correct 163 ms 28400 KB Output is correct
65 Correct 182 ms 28996 KB Output is correct
66 Correct 142 ms 28248 KB Output is correct
67 Correct 164 ms 27992 KB Output is correct
68 Correct 157 ms 28196 KB Output is correct
69 Correct 305 ms 35356 KB Output is correct
70 Correct 340 ms 37852 KB Output is correct
71 Correct 169 ms 31188 KB Output is correct
72 Correct 178 ms 31504 KB Output is correct
73 Correct 183 ms 31344 KB Output is correct
74 Correct 264 ms 37540 KB Output is correct
75 Correct 178 ms 32496 KB Output is correct
76 Correct 291 ms 39688 KB Output is correct
77 Correct 256 ms 36260 KB Output is correct
78 Correct 195 ms 31264 KB Output is correct
79 Correct 167 ms 31312 KB Output is correct
80 Correct 218 ms 36592 KB Output is correct
81 Correct 178 ms 32524 KB Output is correct
82 Correct 302 ms 39872 KB Output is correct
83 Correct 240 ms 36832 KB Output is correct
84 Correct 166 ms 31316 KB Output is correct
85 Correct 192 ms 31260 KB Output is correct
86 Correct 248 ms 35840 KB Output is correct
87 Correct 308 ms 37720 KB Output is correct
88 Correct 173 ms 30500 KB Output is correct
89 Correct 243 ms 36452 KB Output is correct
90 Correct 294 ms 37828 KB Output is correct
91 Correct 177 ms 31100 KB Output is correct
92 Correct 221 ms 36832 KB Output is correct
93 Correct 186 ms 31316 KB Output is correct
94 Correct 175 ms 31320 KB Output is correct
95 Correct 170 ms 31208 KB Output is correct
96 Correct 286 ms 35016 KB Output is correct
97 Correct 207 ms 35168 KB Output is correct
98 Correct 242 ms 36716 KB Output is correct
99 Correct 258 ms 27800 KB Output is correct
100 Correct 208 ms 27356 KB Output is correct