oj.uz

Submission #421218

# Submission time Handle Problem Language Result Execution time Memory
421218 2021-06-08T21:41:49 Z arwaeystoamneg Crossing (JOI21_crossing) C++17
100 / 100
 973 ms 26356 KB 
// EXPLOSION!
#define _CRT_SECURE_NO_WARNINGS
#include<bits/stdc++.h>
#include<unordered_set>
#include<unordered_map>
#include<chrono>

using namespace std;
typedef pair<int, int> pii;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef long double ld;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<pair<int, int>> vpi;
typedef vector<pair<ll, ll>> vpll;

#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 pb push_back
#define mp make_pair
#define rsz resize
#define sz(x) int(x.size())
#define all(x) x.begin(),x.end()
#define f first
#define s second
#define cont continue
#define endl '\n'
//#define ednl '\n'
#define test int testc;cin>>testc;while(testc--)
#define pr(a, b) trav(x,a)cerr << x << b; cerr << endl;
#define message cout << "Hello World" << endl;
const int dx[4] = { 1,0,-1,0 }, dy[4] = { 0,1,0,-1 }; // for every grid problem!!
const ll linf = 4000000000000000000LL;
const ll inf = 1000000007;//998244353    

void pv(vi a) { trav(x, a)cout << x << " "; cout << endl; }void pv(vll a) { trav(x, a)cout << x << " "; cout << endl; }void pv(vector<vi>a) {
	F0R(i, sz(a)) { cout << i << endl; pv(a[i]); cout << endl; }
}void pv(vector<vll>a) { F0R(i, sz(a)) { cout << i << endl; pv(a[i]); }cout << endl; }void pv(vector<string>a) { trav(x, a)cout << x << endl; cout << endl; }
void setIO(string s) {
	ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef arwaeystoamneg
	if (sz(s))
	{
		freopen((s + ".in").c_str(), "r", stdin);
		if (s != "test1")
			freopen((s + ".out").c_str(), "w", stdout);
	}
#endif
}

template<int MOD, int RT> struct mint {
	static const int mod = MOD;
	static constexpr mint rt() { return RT; } // primitive root for FFT
	int v; explicit operator int() const { return v; } // explicit -> don't silently convert to int
	mint() { v = 0; }
	mint(ll _v) {
		v = int((-MOD < _v&& _v < MOD) ? _v : _v % MOD);
		if (v < 0) v += MOD;
	}
	friend bool operator==(const mint& a, const mint& b) {
		return a.v == b.v;
	}
	friend bool operator!=(const mint& a, const mint& b) {
		return !(a == b);
	}
	friend bool operator<(const mint& a, const mint& b) {
		return a.v < b.v;
	}

	mint& operator+=(const mint& m) {
		if ((v += m.v) >= MOD) v -= MOD;
		return *this;
	}
	mint& operator-=(const mint& m) {
		if ((v -= m.v) < 0) v += MOD;
		return *this;
	}
	mint& operator*=(const mint& m) {
		v = int((ll)v * m.v % MOD); return *this;
	}
	mint& operator/=(const mint& m) { return (*this) *= inv(m); }
	friend mint power(mint a, ll p) {// MAKE SURE YOU ARE USING THE CORRECT VERSION OF POW!!!!!!!!
		mint ans = 1; assert(p >= 0);
		for (; p; p /= 2, a *= a) if (p & 1) ans *= a;
		return ans;
	}
	friend mint inv(const mint& a) {
		assert(a.v != 0);
		return power(a, MOD - 2);
	}

	mint operator-() const { return mint(-v); }
	mint& operator++() { return *this += 1; }
	mint& operator--() { return *this -= 1; }
	friend mint operator+(mint a, const mint& b) { return a += b; }
	friend mint operator-(mint a, const mint& b) { return a -= b; }
	friend mint operator*(mint a, const mint& b) { return a *= b; }
	friend mint operator/(mint a, const mint& b) { return a /= b; }
};
typedef mint<inf, 5> mi; // 5 is primitive root for both common mods

map<char, int>key = { {'J',1},{'O',2},{'I',3} };
const int MAX = 200006;
mi base1 = 5, base2 = 7;
mi power1[MAX], power2[MAX];
struct T
{
	int len;
	mi h1, h2;
	T()
	{
		h1 = h2 = len = 0;
	}
	T(int x)
	{
		len = 1;
		h1 = h2 = x;
	}
	T operator+(const T& x)const
	{
		T ans;
		ans.len = len + x.len;
		ans.h1 = power1[len] * x.h1 + h1;
		ans.h2 = power2[len] * x.h2 + h2;
		return ans;
	}
	bool operator<(const T& x)const
	{
		if (x.len == len)
		{
			if (h1 == x.h1)
			{
				return (int)h2 < (int)x.h2;
			}
			return (int)h1 < (int)x.h1;
		}
		return len < x.len;
	}
};
int n, q;
int a[MAX], b[MAX], c[MAX], t[MAX];
int ans[MAX], temp[MAX];
int get(int x, int y)
{
	return (x == y ? x : 6 - x - y);
}
void cross(int* a, int* b)
{
	int ptr = 0;
	F0R(i, n)
	{
		ans[ptr++] = (get(a[i], b[i]));
	}
}
void init(int* a)
{
	string in;
	cin >> in;
	F0R(i, n)a[i] = key[in[i]];
}
T get(int* a)
{
	T ans;
	F0R(i, n)
	{
		ans = ans + a[i];
	}
	return ans;
}
set<T>res;
T base[MAX];
class segment_tree_lazy
{
	struct item
	{
		T h;
		int update;
	};
	item single(int i)
	{
		return { i,0 };
	}
	item merge(item x, item y)
	{
		item ans;
		ans.update = 0;
		ans.h = x.h + y.h;
		return ans;
	}
	vector<item> tree;
	vector<item>A;
	int height;
	item neutral = { T(),0 };
	void push(int i, int tl, int tr)
	{
		if (tree[i].update)
		{
			tree[i].h.len = base[tree[i].h.len].len;
			tree[i].h.h1 = base[tree[i].h.len].h1 * tree[i].update;
			tree[i].h.h2 = base[tree[i].h.len].h2 * tree[i].update;
			if (tl != tr)
			{
				tree[2 * i + 1].update = tree[i].update;
				tree[2 * i + 2].update = tree[i].update;
			}
			tree[i].update = 0;
		}
	}
public:void build(vll& B)
{
	int	n = B.size();
	height = log2(n - 1) + 1;
	A.rsz(n);
	tree.rsz((1 << height + 1) - 1);
	F0R(i, n)A[i] = single(B[i]);
	A.rsz(1 << height, neutral);
	build(A, 0, 0, (1 << height) - 1);
}
	  void build(vector<item>& A, int v, int tl, int tr)
	  {
		  if (tl == tr)
			  tree[v] = A[tl];
		  else
		  {
			  int mid = (tl + tr) / 2;
			  build(A, 2 * v + 1, tl, mid);
			  build(A, 2 * v + 2, mid + 1, tr);
			  tree[v] = merge(tree[2 * v + 1], tree[2 * v + 2]);
		  }
	  }
public:T query(int l, int r)
{
	return query(0, 0, (1 << height) - 1, l, r).h;
}
	  item query(int v, int tl, int tr, int l, int r)
	  {
		  if (r<tl || l>tr)return neutral;
		  push(v, tl, tr);
		  if (l <= tl && r >= tr)
		  {
			  return tree[v];
		  }
		  int mid = (tl + tr) / 2;
		  return merge(query(2 * v + 1, tl, mid, l, r), query(2 * v + 2, mid + 1, tr, l, r));
	  }
public:void update(int l, int r, int val)
{
	update(0, 0, (1 << height) - 1, l, r, val);
}
	  void update(int v, int tl, int tr, int l, int r, int val)
	  {
		  push(v, tl, tr);
		  if (tl > r || tr < l)return;
		  if (tl >= l && tr <= r)
		  {
			  tree[v].update = val;
			  push(v, tl, tr);
			  //tree[v].sum = ((ll)tr - tl + 1) * val;
		  }
		  else
		  {
			  int mid = (tl + tr) / 2;
			  update(2 * v + 1, tl, mid, l, r, val);
			  update(2 * v + 2, mid + 1, tr, l, r, val);
			  tree[v] = merge(tree[2 * v + 1], tree[2 * v + 2]);
		  }
	  }
};

int main()
{
	setIO("test1");
	cin >> n;
	init(a);
	init(b);
	init(c);
	cin >> q;
	init(t);



	power1[0] = 1;
	F0R(i, n + 1)power1[i + 1] = power1[i] * base1;
	power2[0] = 1;
	F0R(i, n + 1)power2[i + 1] = power2[i] * base2;



	res.insert(get(a));
	res.insert(get(b));
	res.insert(get(c));
	cross(a, b);
	res.insert(get(ans));
	F0R(i, n)temp[i] = ans[i];
	cross(temp, c);
	res.insert(get(ans));
	cross(a, c);
	res.insert(get(ans));
	F0R(i, n)temp[i] = ans[i];
	cross(temp, b);
	res.insert(get(ans));
	cross(b, c);
	res.insert(get(ans));
	F0R(i, n)temp[i] = ans[i];
	cross(temp, a);
	res.insert(get(ans));



	T tempor = T();
	F0R(i, n + 3)
	{
		base[i] = tempor;
		tempor = tempor + 1;
	}
	segment_tree_lazy st;
	vll tempo(n);
	F0R(i, n)tempo[i] = t[i];
	st.build(tempo);
	T hash = st.query(0, n - 1);
	cout << (res.find(hash) == res.end() ? "No" : "Yes") << endl;
	while (q--)
	{
		int l, r;
		char t;
		cin >> l >> r >> t;
		int x = key[t];
		l--, r--;
		T temp = st.query(l, r);
		hash.h1 -= temp.h1 * power1[l];
		hash.h2 -= temp.h2 * power2[l];
		st.update(l, r, x);
		temp = st.query(l, r);
		hash.h1 += temp.h1 * power1[l];
		hash.h2 += temp.h2 * power2[l];
		cout << (res.find(hash) == res.end() ? "No" : "Yes") << endl;		
	}
}

Compilation message

Main.cpp: In member function 'void segment_tree_lazy::build(vll&)':
Main.cpp:219:24: warning: suggest parentheses around '+' inside '<<' [-Wparentheses]
  219 |  tree.rsz((1 << height + 1) - 1);
      |                 ~~~~~~~^~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 213 ms 4768 KB Output is correct
2 Correct 239 ms 4932 KB Output is correct
3 Correct 255 ms 4836 KB Output is correct
4 Correct 204 ms 4888 KB Output is correct
5 Correct 198 ms 4820 KB Output is correct
6 Correct 190 ms 4708 KB Output is correct
7 Correct 209 ms 4756 KB Output is correct
8 Correct 238 ms 4828 KB Output is correct
9 Correct 206 ms 4852 KB Output is correct
10 Correct 202 ms 4836 KB Output is correct
11 Correct 206 ms 4788 KB Output is correct
12 Correct 206 ms 4840 KB Output is correct
13 Correct 207 ms 4804 KB Output is correct
14 Correct 203 ms 4844 KB Output is correct
15 Correct 208 ms 4772 KB Output is correct
16 Correct 211 ms 4832 KB Output is correct
17 Correct 206 ms 4764 KB Output is correct
18 Correct 246 ms 4860 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 213 ms 4768 KB Output is correct
2 Correct 239 ms 4932 KB Output is correct
3 Correct 255 ms 4836 KB Output is correct
4 Correct 204 ms 4888 KB Output is correct
5 Correct 198 ms 4820 KB Output is correct
6 Correct 190 ms 4708 KB Output is correct
7 Correct 209 ms 4756 KB Output is correct
8 Correct 238 ms 4828 KB Output is correct
9 Correct 206 ms 4852 KB Output is correct
10 Correct 202 ms 4836 KB Output is correct
11 Correct 206 ms 4788 KB Output is correct
12 Correct 206 ms 4840 KB Output is correct
13 Correct 207 ms 4804 KB Output is correct
14 Correct 203 ms 4844 KB Output is correct
15 Correct 208 ms 4772 KB Output is correct
16 Correct 211 ms 4832 KB Output is correct
17 Correct 206 ms 4764 KB Output is correct
18 Correct 246 ms 4860 KB Output is correct
19 Correct 822 ms 26344 KB Output is correct
20 Correct 886 ms 26276 KB Output is correct
21 Correct 510 ms 25676 KB Output is correct
22 Correct 520 ms 24820 KB Output is correct
23 Correct 367 ms 5916 KB Output is correct
24 Correct 365 ms 5884 KB Output is correct
25 Correct 655 ms 26268 KB Output is correct
26 Correct 584 ms 26300 KB Output is correct
27 Correct 693 ms 26276 KB Output is correct
28 Correct 652 ms 26228 KB Output is correct
29 Correct 626 ms 26008 KB Output is correct
30 Correct 410 ms 5872 KB Output is correct
31 Correct 646 ms 26280 KB Output is correct
32 Correct 625 ms 25464 KB Output is correct
33 Correct 367 ms 5908 KB Output is correct
34 Correct 618 ms 26356 KB Output is correct
35 Correct 567 ms 23960 KB Output is correct
36 Correct 365 ms 5924 KB Output is correct
37 Correct 361 ms 5924 KB Output is correct
38 Correct 810 ms 26280 KB Output is correct
39 Correct 422 ms 26232 KB Output is correct
40 Correct 534 ms 15344 KB Output is correct
41 Correct 973 ms 26272 KB Output is correct
42 Correct 295 ms 26252 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 213 ms 4768 KB Output is correct
2 Correct 239 ms 4932 KB Output is correct
3 Correct 255 ms 4836 KB Output is correct
4 Correct 204 ms 4888 KB Output is correct
5 Correct 198 ms 4820 KB Output is correct
6 Correct 190 ms 4708 KB Output is correct
7 Correct 209 ms 4756 KB Output is correct
8 Correct 238 ms 4828 KB Output is correct
9 Correct 206 ms 4852 KB Output is correct
10 Correct 202 ms 4836 KB Output is correct
11 Correct 206 ms 4788 KB Output is correct
12 Correct 206 ms 4840 KB Output is correct
13 Correct 207 ms 4804 KB Output is correct
14 Correct 203 ms 4844 KB Output is correct
15 Correct 208 ms 4772 KB Output is correct
16 Correct 211 ms 4832 KB Output is correct
17 Correct 206 ms 4764 KB Output is correct
18 Correct 246 ms 4860 KB Output is correct
19 Correct 224 ms 4804 KB Output is correct
20 Correct 256 ms 4928 KB Output is correct
21 Correct 206 ms 4772 KB Output is correct
22 Correct 187 ms 4736 KB Output is correct
23 Correct 204 ms 4812 KB Output is correct
24 Correct 197 ms 4720 KB Output is correct
25 Correct 205 ms 4804 KB Output is correct
26 Correct 196 ms 4848 KB Output is correct
27 Correct 208 ms 4780 KB Output is correct
28 Correct 194 ms 4972 KB Output is correct
29 Correct 207 ms 4804 KB Output is correct
30 Correct 191 ms 4788 KB Output is correct
31 Correct 212 ms 4944 KB Output is correct
32 Correct 238 ms 4828 KB Output is correct
33 Correct 207 ms 4804 KB Output is correct
34 Correct 222 ms 4884 KB Output is correct
35 Correct 207 ms 4752 KB Output is correct
36 Correct 207 ms 4856 KB Output is correct
37 Correct 212 ms 4860 KB Output is correct
38 Correct 208 ms 4844 KB Output is correct
39 Correct 251 ms 4792 KB Output is correct
40 Correct 219 ms 4804 KB Output is correct
41 Correct 203 ms 4804 KB Output is correct
42 Correct 212 ms 4844 KB Output is correct
43 Correct 200 ms 4804 KB Output is correct
44 Correct 211 ms 4828 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 213 ms 4768 KB Output is correct
2 Correct 239 ms 4932 KB Output is correct
3 Correct 255 ms 4836 KB Output is correct
4 Correct 204 ms 4888 KB Output is correct
5 Correct 198 ms 4820 KB Output is correct
6 Correct 190 ms 4708 KB Output is correct
7 Correct 209 ms 4756 KB Output is correct
8 Correct 238 ms 4828 KB Output is correct
9 Correct 206 ms 4852 KB Output is correct
10 Correct 202 ms 4836 KB Output is correct
11 Correct 206 ms 4788 KB Output is correct
12 Correct 206 ms 4840 KB Output is correct
13 Correct 207 ms 4804 KB Output is correct
14 Correct 203 ms 4844 KB Output is correct
15 Correct 208 ms 4772 KB Output is correct
16 Correct 211 ms 4832 KB Output is correct
17 Correct 206 ms 4764 KB Output is correct
18 Correct 246 ms 4860 KB Output is correct
19 Correct 822 ms 26344 KB Output is correct
20 Correct 886 ms 26276 KB Output is correct
21 Correct 510 ms 25676 KB Output is correct
22 Correct 520 ms 24820 KB Output is correct
23 Correct 367 ms 5916 KB Output is correct
24 Correct 365 ms 5884 KB Output is correct
25 Correct 655 ms 26268 KB Output is correct
26 Correct 584 ms 26300 KB Output is correct
27 Correct 693 ms 26276 KB Output is correct
28 Correct 652 ms 26228 KB Output is correct
29 Correct 626 ms 26008 KB Output is correct
30 Correct 410 ms 5872 KB Output is correct
31 Correct 646 ms 26280 KB Output is correct
32 Correct 625 ms 25464 KB Output is correct
33 Correct 367 ms 5908 KB Output is correct
34 Correct 618 ms 26356 KB Output is correct
35 Correct 567 ms 23960 KB Output is correct
36 Correct 365 ms 5924 KB Output is correct
37 Correct 361 ms 5924 KB Output is correct
38 Correct 810 ms 26280 KB Output is correct
39 Correct 422 ms 26232 KB Output is correct
40 Correct 534 ms 15344 KB Output is correct
41 Correct 973 ms 26272 KB Output is correct
42 Correct 295 ms 26252 KB Output is correct
43 Correct 224 ms 4804 KB Output is correct
44 Correct 256 ms 4928 KB Output is correct
45 Correct 206 ms 4772 KB Output is correct
46 Correct 187 ms 4736 KB Output is correct
47 Correct 204 ms 4812 KB Output is correct
48 Correct 197 ms 4720 KB Output is correct
49 Correct 205 ms 4804 KB Output is correct
50 Correct 196 ms 4848 KB Output is correct
51 Correct 208 ms 4780 KB Output is correct
52 Correct 194 ms 4972 KB Output is correct
53 Correct 207 ms 4804 KB Output is correct
54 Correct 191 ms 4788 KB Output is correct
55 Correct 212 ms 4944 KB Output is correct
56 Correct 238 ms 4828 KB Output is correct
57 Correct 207 ms 4804 KB Output is correct
58 Correct 222 ms 4884 KB Output is correct
59 Correct 207 ms 4752 KB Output is correct
60 Correct 207 ms 4856 KB Output is correct
61 Correct 212 ms 4860 KB Output is correct
62 Correct 208 ms 4844 KB Output is correct
63 Correct 251 ms 4792 KB Output is correct
64 Correct 219 ms 4804 KB Output is correct
65 Correct 203 ms 4804 KB Output is correct
66 Correct 212 ms 4844 KB Output is correct
67 Correct 200 ms 4804 KB Output is correct
68 Correct 211 ms 4828 KB Output is correct
69 Correct 739 ms 24700 KB Output is correct
70 Correct 882 ms 26272 KB Output is correct
71 Correct 365 ms 5924 KB Output is correct
72 Correct 366 ms 5900 KB Output is correct
73 Correct 363 ms 6004 KB Output is correct
74 Correct 492 ms 24700 KB Output is correct
75 Correct 363 ms 5932 KB Output is correct
76 Correct 532 ms 26352 KB Output is correct
77 Correct 530 ms 24712 KB Output is correct
78 Correct 360 ms 5864 KB Output is correct
79 Correct 387 ms 5920 KB Output is correct
80 Correct 544 ms 23272 KB Output is correct
81 Correct 371 ms 5896 KB Output is correct
82 Correct 579 ms 26232 KB Output is correct
83 Correct 549 ms 25640 KB Output is correct
84 Correct 366 ms 6004 KB Output is correct
85 Correct 394 ms 5916 KB Output is correct
86 Correct 623 ms 24128 KB Output is correct
87 Correct 626 ms 26232 KB Output is correct
88 Correct 409 ms 5952 KB Output is correct
89 Correct 587 ms 25236 KB Output is correct
90 Correct 718 ms 26276 KB Output is correct
91 Correct 395 ms 5924 KB Output is correct
92 Correct 519 ms 23876 KB Output is correct
93 Correct 372 ms 5832 KB Output is correct
94 Correct 367 ms 5952 KB Output is correct
95 Correct 365 ms 5896 KB Output is correct
96 Correct 791 ms 26272 KB Output is correct
97 Correct 453 ms 26272 KB Output is correct
98 Correct 532 ms 15184 KB Output is correct
99 Correct 925 ms 26276 KB Output is correct
100 Correct 296 ms 26348 KB Output is correct