oj.uz

Submission #800164

# Submission time Handle Problem Language Result Execution time Memory
800164 2023-08-01T11:06:56 Z fatemetmhr Crossing (JOI21_crossing) C++17
100 / 100
 390 ms 24888 KB 
// Be name khoda //

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

#define all(x) x.begin(), x.end()
#define pb     push_back
#define fi     first
#define se     second
#define mp     make_pair


const int maxn5 = 2e5 + 10;
const int maxnt = 1e6 + 10;

ll mod[2] = {1000000007, 1000000009};
ll base[2] = {21163, 21269};

int n, t[maxn5];
pair <ll, ll> hsh[maxnt];
int lazy[maxnt];
string s[3];
ll pw[2][maxn5], ps[2][maxn5];
set <pair<ll, ll>> av;
bool mark[100];

int get_val(char c){
	if(c == 'J')
		return 0;
	if(c == 'O')
		return 1;
	return 2;
}

struct zarib{

	int x[3];
	int num;
	zarib(){
		x[0] = x[1] = x[2] = num = 0;
	}

} q[100];

zarib comb(zarib a, zarib b){
	zarib ret;
	//cout << a.x[0] << ' ' << b.x[0] << endl;
	ret.x[0] = (6 - a.x[0] - b.x[0]) % 3;
	ret.x[1] = (6 - a.x[1] - b.x[1]) % 3;
	ret.x[2] = (6 - a.x[2] - b.x[2]) % 3;
	ret.num = ret.x[0] + ret.x[1] * 3 + ret.x[2] * 9;
	//cout << ret.x[0]  << ' ' << ret.x[1] << ' ' << ret.x[2] << ' ' << ret.num << endl;
	return ret;
}

void shift(int, int, int);

void build(int l, int r, int v){
	if(r - l == 1){
		hsh[v].fi = t[l] * pw[0][n - l - 1] % mod[0];
		hsh[v].se = t[l] * pw[1][n - l - 1] % mod[1];
		return;
	}
	int mid = (l + r) >> 1;
	build(l, mid, v * 2);
	build(mid, r, v * 2 + 1);
	hsh[v].fi = (hsh[v * 2].fi + hsh[v * 2 + 1].fi) % mod[0];
	hsh[v].se = (hsh[v * 2].se + hsh[v * 2 + 1].se) % mod[1];
}

void upd(int l, int r, int lq, int rq, int val, int v){
	if(rq <= l || r <= lq)
		return;
	if(lq <= l && r <= rq){
		lazy[v] = val;
		hsh[v].fi = (mod[0] + ps[0][n - l - 1] - (r == n ? 0 : ps[0][n - r - 1])) % mod[0] * val % mod[0];
		hsh[v].se = (mod[1] + ps[1][n - l - 1] - (r == n ? 0 : ps[1][n - r - 1])) % mod[1] * val % mod[1];
		return;
	}
	int mid = (l + r) >> 1;
	shift(l, r, v);
	upd(l, mid, lq, rq, val, v * 2);
	upd(mid, r, lq, rq, val, v * 2 + 1);
	hsh[v].fi = (hsh[v * 2].fi + hsh[v * 2 + 1].fi) % mod[0];
	hsh[v].se = (hsh[v * 2].se + hsh[v * 2 + 1].se) % mod[1];
}

void shift(int l, int r, int v){
	if(lazy[v] == -1)
		return;
	int mid = (l + r) >> 1;
	upd(l, mid, l, mid, lazy[v], v * 2);
	upd(mid, r, mid, r, lazy[v], v * 2 + 1);
	lazy[v] = -1;
}


int main(){
	ios_base::sync_with_stdio(false); cin.tie(0);

	memset(lazy, -1, sizeof lazy);

	cin >> n;
	cin >> s[0] >> s[1] >> s[2];

	for(int tt = 0; tt < 2; tt++){
		pw[tt][0] = 1;
		for(int i = 1; i < maxn5; i++)
			pw[tt][i] = (pw[tt][i - 1] * base[tt]) % mod[tt];
		ps[tt][0] = 1;
		for(int i = 1; i < maxn5; i++)
			ps[tt][i] = (ps[tt][i - 1] + pw[tt][i]) % mod[tt];
	}

	zarib a, b, c;
	a.x[0] = b.x[1] = c.x[2] = 1;
	a.num = 1;
	b.num = 3;
	c.num = 9;
	q[0] = a;
	q[1] = b;
	q[2] = c;
	mark[1] = mark[3] = mark[9] = true;
	int l = 0, r = 3;
	while(l < r){
		zarib a = q[l];
		for(int i = 0; i < l; i++){
			zarib x = comb(a, q[i]);
			if(!mark[x.num]){
				q[r++] = x;
				mark[x.num] = true;
			}
		}
		l++;
	}

	for(int i = 0; i < r; i++){
		ll val[2] = {0, 0};
		for(int j = 0; j < n; j++){
			int a = (get_val(s[0][j]) * q[i].x[0] + get_val(s[1][j]) * q[i].x[1] + get_val(s[2][j]) * q[i].x[2]) % 3; 
			val[0] = (val[0] * base[0] + a) % mod[0];
			val[1] = (val[1] * base[1] + a) % mod[1];
			//if(i == 0)
			//	cout << j << ' ' << a << endl;
		}
		//cout << i << ' ' << val[0] << ' ' << val[1] << endl;
		av.insert(mp(val[0], val[1]));
	}

	string tm; int q;
	cin >> q >> tm;
	for(int i = 0; i < n; i++)
		t[i] = get_val(tm[i]);
	build(0, n, 1);
	//cout << hsh[1].fi << ' ' << hsh[1].se << endl;
	//cout << tm << ' ' << s[0] << endl;

	//cout << (tm == s[0] ? "Yes\n" : "No\n");
	cout << (av.find(hsh[1]) != av.end() ? "Yes\n" : "No\n");
	while(q--){
		int l, r; char c; cin >> l >> r >> c;
		int a = get_val(c);
		upd(0, n, l - 1, r, a, 1);
		//cout << (tm == s[0] ? "Yes\n" : "No\n");

		cout << (av.find(hsh[1]) != av.end() ? "Yes\n" : "No\n");
	}
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 11012 KB Output is correct
2 Correct 90 ms 11040 KB Output is correct
3 Correct 98 ms 11092 KB Output is correct
4 Correct 73 ms 11064 KB Output is correct
5 Correct 72 ms 11084 KB Output is correct
6 Correct 70 ms 10980 KB Output is correct
7 Correct 71 ms 10996 KB Output is correct
8 Correct 75 ms 11064 KB Output is correct
9 Correct 76 ms 11084 KB Output is correct
10 Correct 74 ms 10988 KB Output is correct
11 Correct 77 ms 11084 KB Output is correct
12 Correct 73 ms 11080 KB Output is correct
13 Correct 75 ms 11084 KB Output is correct
14 Correct 75 ms 11072 KB Output is correct
15 Correct 76 ms 11028 KB Output is correct
16 Correct 77 ms 11068 KB Output is correct
17 Correct 77 ms 11004 KB Output is correct
18 Correct 94 ms 11044 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 11012 KB Output is correct
2 Correct 90 ms 11040 KB Output is correct
3 Correct 98 ms 11092 KB Output is correct
4 Correct 73 ms 11064 KB Output is correct
5 Correct 72 ms 11084 KB Output is correct
6 Correct 70 ms 10980 KB Output is correct
7 Correct 71 ms 10996 KB Output is correct
8 Correct 75 ms 11064 KB Output is correct
9 Correct 76 ms 11084 KB Output is correct
10 Correct 74 ms 10988 KB Output is correct
11 Correct 77 ms 11084 KB Output is correct
12 Correct 73 ms 11080 KB Output is correct
13 Correct 75 ms 11084 KB Output is correct
14 Correct 75 ms 11072 KB Output is correct
15 Correct 76 ms 11028 KB Output is correct
16 Correct 77 ms 11068 KB Output is correct
17 Correct 77 ms 11004 KB Output is correct
18 Correct 94 ms 11044 KB Output is correct
19 Correct 339 ms 20912 KB Output is correct
20 Correct 356 ms 22628 KB Output is correct
21 Correct 173 ms 24344 KB Output is correct
22 Correct 189 ms 24008 KB Output is correct
23 Correct 117 ms 14024 KB Output is correct
24 Correct 122 ms 13948 KB Output is correct
25 Correct 184 ms 24684 KB Output is correct
26 Correct 199 ms 24588 KB Output is correct
27 Correct 232 ms 24668 KB Output is correct
28 Correct 245 ms 24628 KB Output is correct
29 Correct 220 ms 24584 KB Output is correct
30 Correct 132 ms 14028 KB Output is correct
31 Correct 238 ms 24664 KB Output is correct
32 Correct 253 ms 24352 KB Output is correct
33 Correct 120 ms 13920 KB Output is correct
34 Correct 231 ms 24588 KB Output is correct
35 Correct 164 ms 23752 KB Output is correct
36 Correct 117 ms 14040 KB Output is correct
37 Correct 121 ms 14004 KB Output is correct
38 Correct 322 ms 24400 KB Output is correct
39 Correct 144 ms 24660 KB Output is correct
40 Correct 167 ms 19608 KB Output is correct
41 Correct 390 ms 24888 KB Output is correct
42 Correct 62 ms 24040 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 11012 KB Output is correct
2 Correct 90 ms 11040 KB Output is correct
3 Correct 98 ms 11092 KB Output is correct
4 Correct 73 ms 11064 KB Output is correct
5 Correct 72 ms 11084 KB Output is correct
6 Correct 70 ms 10980 KB Output is correct
7 Correct 71 ms 10996 KB Output is correct
8 Correct 75 ms 11064 KB Output is correct
9 Correct 76 ms 11084 KB Output is correct
10 Correct 74 ms 10988 KB Output is correct
11 Correct 77 ms 11084 KB Output is correct
12 Correct 73 ms 11080 KB Output is correct
13 Correct 75 ms 11084 KB Output is correct
14 Correct 75 ms 11072 KB Output is correct
15 Correct 76 ms 11028 KB Output is correct
16 Correct 77 ms 11068 KB Output is correct
17 Correct 77 ms 11004 KB Output is correct
18 Correct 94 ms 11044 KB Output is correct
19 Correct 90 ms 11028 KB Output is correct
20 Correct 102 ms 11048 KB Output is correct
21 Correct 75 ms 11084 KB Output is correct
22 Correct 67 ms 12340 KB Output is correct
23 Correct 76 ms 12524 KB Output is correct
24 Correct 73 ms 12456 KB Output is correct
25 Correct 85 ms 12704 KB Output is correct
26 Correct 71 ms 12416 KB Output is correct
27 Correct 75 ms 12532 KB Output is correct
28 Correct 80 ms 12380 KB Output is correct
29 Correct 78 ms 12600 KB Output is correct
30 Correct 70 ms 12336 KB Output is correct
31 Correct 78 ms 12608 KB Output is correct
32 Correct 77 ms 12524 KB Output is correct
33 Correct 79 ms 12564 KB Output is correct
34 Correct 71 ms 12460 KB Output is correct
35 Correct 77 ms 12628 KB Output is correct
36 Correct 78 ms 12604 KB Output is correct
37 Correct 77 ms 12552 KB Output is correct
38 Correct 81 ms 12636 KB Output is correct
39 Correct 78 ms 12688 KB Output is correct
40 Correct 83 ms 12524 KB Output is correct
41 Correct 77 ms 12620 KB Output is correct
42 Correct 80 ms 12540 KB Output is correct
43 Correct 81 ms 12484 KB Output is correct
44 Correct 82 ms 12728 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 11012 KB Output is correct
2 Correct 90 ms 11040 KB Output is correct
3 Correct 98 ms 11092 KB Output is correct
4 Correct 73 ms 11064 KB Output is correct
5 Correct 72 ms 11084 KB Output is correct
6 Correct 70 ms 10980 KB Output is correct
7 Correct 71 ms 10996 KB Output is correct
8 Correct 75 ms 11064 KB Output is correct
9 Correct 76 ms 11084 KB Output is correct
10 Correct 74 ms 10988 KB Output is correct
11 Correct 77 ms 11084 KB Output is correct
12 Correct 73 ms 11080 KB Output is correct
13 Correct 75 ms 11084 KB Output is correct
14 Correct 75 ms 11072 KB Output is correct
15 Correct 76 ms 11028 KB Output is correct
16 Correct 77 ms 11068 KB Output is correct
17 Correct 77 ms 11004 KB Output is correct
18 Correct 94 ms 11044 KB Output is correct
19 Correct 339 ms 20912 KB Output is correct
20 Correct 356 ms 22628 KB Output is correct
21 Correct 173 ms 24344 KB Output is correct
22 Correct 189 ms 24008 KB Output is correct
23 Correct 117 ms 14024 KB Output is correct
24 Correct 122 ms 13948 KB Output is correct
25 Correct 184 ms 24684 KB Output is correct
26 Correct 199 ms 24588 KB Output is correct
27 Correct 232 ms 24668 KB Output is correct
28 Correct 245 ms 24628 KB Output is correct
29 Correct 220 ms 24584 KB Output is correct
30 Correct 132 ms 14028 KB Output is correct
31 Correct 238 ms 24664 KB Output is correct
32 Correct 253 ms 24352 KB Output is correct
33 Correct 120 ms 13920 KB Output is correct
34 Correct 231 ms 24588 KB Output is correct
35 Correct 164 ms 23752 KB Output is correct
36 Correct 117 ms 14040 KB Output is correct
37 Correct 121 ms 14004 KB Output is correct
38 Correct 322 ms 24400 KB Output is correct
39 Correct 144 ms 24660 KB Output is correct
40 Correct 167 ms 19608 KB Output is correct
41 Correct 390 ms 24888 KB Output is correct
42 Correct 62 ms 24040 KB Output is correct
43 Correct 90 ms 11028 KB Output is correct
44 Correct 102 ms 11048 KB Output is correct
45 Correct 75 ms 11084 KB Output is correct
46 Correct 67 ms 12340 KB Output is correct
47 Correct 76 ms 12524 KB Output is correct
48 Correct 73 ms 12456 KB Output is correct
49 Correct 85 ms 12704 KB Output is correct
50 Correct 71 ms 12416 KB Output is correct
51 Correct 75 ms 12532 KB Output is correct
52 Correct 80 ms 12380 KB Output is correct
53 Correct 78 ms 12600 KB Output is correct
54 Correct 70 ms 12336 KB Output is correct
55 Correct 78 ms 12608 KB Output is correct
56 Correct 77 ms 12524 KB Output is correct
57 Correct 79 ms 12564 KB Output is correct
58 Correct 71 ms 12460 KB Output is correct
59 Correct 77 ms 12628 KB Output is correct
60 Correct 78 ms 12604 KB Output is correct
61 Correct 77 ms 12552 KB Output is correct
62 Correct 81 ms 12636 KB Output is correct
63 Correct 78 ms 12688 KB Output is correct
64 Correct 83 ms 12524 KB Output is correct
65 Correct 77 ms 12620 KB Output is correct
66 Correct 80 ms 12540 KB Output is correct
67 Correct 81 ms 12484 KB Output is correct
68 Correct 82 ms 12728 KB Output is correct
69 Correct 320 ms 23912 KB Output is correct
70 Correct 362 ms 24712 KB Output is correct
71 Correct 122 ms 13980 KB Output is correct
72 Correct 120 ms 14036 KB Output is correct
73 Correct 120 ms 14080 KB Output is correct
74 Correct 178 ms 23920 KB Output is correct
75 Correct 120 ms 14024 KB Output is correct
76 Correct 210 ms 24680 KB Output is correct
77 Correct 210 ms 24100 KB Output is correct
78 Correct 124 ms 14012 KB Output is correct
79 Correct 126 ms 14012 KB Output is correct
80 Correct 197 ms 23652 KB Output is correct
81 Correct 132 ms 13968 KB Output is correct
82 Correct 224 ms 24680 KB Output is correct
83 Correct 215 ms 24348 KB Output is correct
84 Correct 131 ms 13968 KB Output is correct
85 Correct 135 ms 13992 KB Output is correct
86 Correct 252 ms 23840 KB Output is correct
87 Correct 267 ms 24604 KB Output is correct
88 Correct 151 ms 14028 KB Output is correct
89 Correct 222 ms 24132 KB Output is correct
90 Correct 239 ms 24644 KB Output is correct
91 Correct 140 ms 14128 KB Output is correct
92 Correct 171 ms 23704 KB Output is correct
93 Correct 132 ms 13944 KB Output is correct
94 Correct 123 ms 14028 KB Output is correct
95 Correct 123 ms 14048 KB Output is correct
96 Correct 307 ms 24408 KB Output is correct
97 Correct 146 ms 24684 KB Output is correct
98 Correct 172 ms 19584 KB Output is correct
99 Correct 388 ms 24840 KB Output is correct
100 Correct 69 ms 24132 KB Output is correct