//#include <atcoder/maxflow.hpp>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
#include <iostream>
#include <map>
#include <list>
#include <set>
#include <algorithm>
#include <vector>
#include <string>
#include <functional>
#include <queue>
#include <deque>
#include <stack>
#include <unordered_map>
#include <unordered_set>
#include <cmath>
#include <iterator>
#include <random>
#include <chrono>
#include <complex>
#include <bitset>
#include <fstream>
#define forr(i,start,count) for (int i = (start); i < (start)+(count); ++i)
#define set_map_includes(set, elt) (set.find((elt)) != set.end())
#define readint(i) int i; cin >> i
#define readll(i) ll i; cin >> i
#define readdouble(i) double i; cin >> i
#define readstring(s) string s; cin >> s
typedef long long ll;
//using namespace __gnu_pbds;
//using namespace atcoder;
using namespace std;
const ll modd = (1000LL * 1000LL * 1000LL + 7LL);
//const ll modd = 998244353;
template<class T>
class SegmentTree2 {
public:
int B; // power of two greater than size of input data
SegmentTree2(const vector<T>& data, function<T(T,T)> f_, T zero_value = 0) : zv(zero_value), f(f_) {
Initialize(data);
}
SegmentTree2(int n, function<T(T,T)> f_, T zero_value = 0) : zv(zero_value), f(f_) {
vector<T> temp(n, zv);
Initialize(temp);
}
T operator[](int i) {
return tree[B+i];
}
T GetEvaluation(int L, int R) { // "min/max" on interval [L,R); 0-based indexing, as usual
if (R<=L) { return zv; }
return GetEvaluationHelper(L, R, 0, B, 1);
}
void SetVal(int i, T val) {
tree[B+i] = val;
for(int j = (B + i) / 2; j >= 1; j /= 2) {
tree[j] = f(tree[2*j], tree[2*j+1]);
}
}
private:
vector<T> tree;
T zv;
function<T(T,T)> f;
void Initialize(const vector<T>& data) {
B = 1;
while(B < data.size()) {B *= 2; }
tree = std::move(vector<T>(2*B, zv));
copy(data.begin(), data.end(), next(tree.begin(), B));
for(int i = B - 1; i >= 1; --i) {
tree[i] = f(tree[2*i], tree[2*i+1]);
}
}
T GetEvaluationHelper(int L, int R, int start, int length, int tree_index) {
if (L==R) { return zv; }
if ((L==start) && (R==start+length)) { return tree[tree_index]; }
int midpoint = start + length/2;
T left_ = zv, right_ = zv;
if (L<=min(midpoint,R)) {
left_ = GetEvaluationHelper(L, min(midpoint,R), start, length/2, 2*tree_index);
}
if (max(midpoint,L)<=R) {
right_ = GetEvaluationHelper(max(midpoint,L), R, midpoint, length/2, 2*tree_index+1);
}
return f(left_, right_);
}
};
template<class T, class S>
class LazySegmentTree {
// Lazy propagation segment tree, containing elts of type T; S is type ("paramter space type") for all possible function we'll be
// applying to elts (thee funcs should commute with f; f should be associative)
public:
typedef function<T(T)> application_type;
// f is combining function, should be associative; zero_value is identity for f as a grupoid operation;
// com is composition of application functions, specifically com(a1, a2) is a1 \circ a2 ie com(a1,a2)(t)=a1(a2(t))
// param is parametrization of application functions
// id_ is parameter for identity application function
// typical example if you have min segtree, and you want to assign values in a lazy way to interval:
// T=int,S=int, f(x,y) = min(x,y), zero_value = +infty"=modd"; com(a,b)=a;
// param(a) = [](int a){ return function<int(int)>([](int x){return a;}); }
// CAREFUL!!!! in param make sure if you capture anything in return function, you do it by value, not by reference!!!!!!!!!!!!!!!!!!!
// id_ = say modd+1; and param(modd+1) should be identity, and comm should accomodate that
LazySegmentTree(const vector<T>& data, function<T(T,T)> f_, T zero_value,
function<S(S,S)> com, function<application_type(S)> param, S id_) : zv(zero_value), f(f_), composition(com),
paramtrization(param), ident(id_) {
Initialize(data);
}
T operator[](int i) {
return GetEvaluation(i, i+1);
}
T GetEvaluation(int L, int R) { // "min/max" on interval [L,R); 0-based indexing, as usual
if (R<=L) { return zv; }
return GetEvaluationHelper(L, R, 0, B, 1, ident);
}
void SetVal(int L, int R, S g) { // set on interval [L,R); 0-based indexing
if (R<=L) { return; }
SetValHelper(L, R, 0, B, 1, g);
}
private:
vector<T> tree;
vector<S> application_function_below;
int B; // power of two greater than size of input data
T zv;
function<T(T,T)> f;
function<S(S,S)> composition;
function<application_type(S)> paramtrization;
S ident;
void Initialize(const vector<T>& data) {
B = 1;
while(B < data.size()) {B *= 2; }
tree = vector<T>(2*B, zv);
copy(data.begin(), data.end(), next(tree.begin(), B));
for(int i = B - 1; i >= 1; --i) {
tree[i] = f(tree[2*i], tree[2*i+1]);
}
application_function_below = vector<S>(2*B, ident);
}
T GetEvaluationHelper(int L, int R, int start, int length, int tree_index, S accumulate) {
if (L==R) { return zv; }
if ((L==start) && (R==start+length)) { return paramtrization(accumulate)(tree[tree_index]); }
int midpoint = start + length/2;
T left_ = zv, right_ = zv;
if (L<=min(midpoint,R)) {
left_ = GetEvaluationHelper(L, min(midpoint,R), start, length/2, 2*tree_index, composition(accumulate, application_function_below[tree_index]));
}
if (max(midpoint,L)<=R) {
right_ = GetEvaluationHelper(max(midpoint,L), R, midpoint, length/2, 2*tree_index+1, composition(accumulate, application_function_below[tree_index]));
}
return f(left_, right_);
}
void SetValHelper(int L, int R, int start, int length, int tree_index, S g) {
if (L==R) { return; }
if ((L==start) && (R==start+length)) {
tree[tree_index] = paramtrization(g)(tree[tree_index]);
application_function_below[tree_index] = composition(g, application_function_below[tree_index]);
return; }
int midpoint = start + length/2;
application_function_below[2*tree_index] = composition(application_function_below[tree_index], application_function_below[2*tree_index]);
application_function_below[2*tree_index+1] = composition(application_function_below[tree_index], application_function_below[2*tree_index+1]);
tree[2*tree_index] = paramtrization(application_function_below[tree_index])(tree[2*tree_index]);
tree[2*tree_index+1] = paramtrization(application_function_below[tree_index])(tree[2*tree_index+1]);
application_function_below[tree_index] = ident;
if (L<=min(midpoint,R)) {
SetValHelper(L, min(midpoint,R), start, length/2, 2*tree_index, g);
}
if (max(midpoint,L)<=R) {
SetValHelper(max(midpoint,L), R, midpoint, length/2, 2*tree_index+1, g);
}
tree[tree_index] = f(tree[2*tree_index], tree[2*tree_index+1]);
}
};
string cross(const string& a, const string& b) {
string ret;
map<pair<char,char>,char> op;
op[make_pair('J', 'J')] = 'J';
op[make_pair('O', 'O')] = 'O';
op[make_pair('I', 'I')] = 'I';
op[make_pair('J', 'O')] = 'I';
op[make_pair('O', 'I')] = 'J';
op[make_pair('I', 'J')] = 'O';
op[make_pair('O', 'J')] = 'I';
op[make_pair('I', 'O')] = 'J';
op[make_pair('J', 'I')] = 'O';
forr(i,0,a.size()) {
ret.push_back(op[make_pair(a[i], b[i])]);
}
return ret;
}
vector<string> goal;
vector<map<tuple<int,int,char>, bool>> val(9);
int main(int argc, char *argv[]) {
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
uniform_int_distribution<int> rand_gen(0, modd); // rand_gen(rng) gets the rand no
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.precision(12);
// readint(test_cases);
int test_cases = 1;
forr(t, 1, test_cases) {
readint(n);
readstring(s1); readstring(s2); readstring(s3);
goal.push_back(s1); goal.push_back(s2); goal.push_back(s3);
goal.push_back(cross(goal[0], goal[1]));
goal.push_back(cross(goal[1], goal[2]));
goal.push_back(cross(goal[2], goal[0]));
goal.push_back(cross(goal[0], goal[4]));
goal.push_back(cross(goal[1], goal[5]));
goal.push_back(cross(goal[2], goal[3]));
readint(q);
vector<bool> ans(q, false);
readstring(s);
struct eq {
int l,r;
bool equal;
};
vector<LazySegmentTree<eq, char>> lseg;
forr(j,0,goal.size()) {
vector<eq> segs;
forr(i,0,n) {
segs.push_back(eq{i, i+1, goal[j][i]==s[i]});
}
lseg.emplace_back(segs, [](eq a, eq b){ return eq{a.l,b.r,a.equal&&b.equal}; }, eq{0,0,true},
[](char c1, char c2){ if (c1=='Q') return c2; else return c1; },
[j](char a) {
return [a,j](eq x) {
if (a=='Q') return x; else {
return eq{x.l, x.r, val[j][make_tuple(x.l,x.r, a)]}; } }; }, 'Q'
);
SegmentTree2<char> temp(vector<char>(goal[j].begin(), goal[j].end()), [](char x, char y) {
if (x=='*') { return y; }
if (y=='*') { return x; }
if (x=='0') { return '0'; }
if (y=='0') { return '0'; }
if (x==y) { return x; } else { return '0'; }
}, '*');
int B = temp.B;
while (B>0) {
for(int i = 0; i < temp.B; i += B) {
val[j][make_tuple(i, i + B, 'I')] = false;
val[j][make_tuple(i, i + B, 'J')] = false;
val[j][make_tuple(i, i + B, 'O')] = false;
if (temp.GetEvaluation(i, i+B)!='0') {
val[j][make_tuple(i, i+B, temp.GetEvaluation(i, i+B))] = true;
}
}
B /= 2;
}
}
// for(auto x : val[0]) {
// cout << get<0>(x.first) << " " << get<1>(x.first) << " " << get<2>(x.first) << ": " << x.second << endl;
// }
bool ret = false;
forr(j,0,goal.size()) {
ret |= lseg[j].GetEvaluation(0, n).equal;
}
cout << (ret ? "Yes" : "No") << endl;
forr(i,0,q) {
readint(l); readint(r); readstring(ch); --l;
bool rett = false;
forr(j,0,goal.size()) {
lseg[j].SetVal(l, r, ch[0]);
rett |= lseg[j].GetEvaluation(0, n).equal;
}
cout << (rett ? "Yes" : "No") << endl;
}
}
return 0;
}
Compilation message
Main.cpp: In function 'std::string cross(const string&, const string&)':
Main.cpp:28:53: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
28 | #define forr(i,start,count) for (int i = (start); i < (start)+(count); ++i)
| ^
Main.cpp:218:5: note: in expansion of macro 'forr'
218 | forr(i,0,a.size()) {
| ^~~~
Main.cpp: In function 'int main(int, char**)':
Main.cpp:28:53: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::__cxx11::basic_string<char> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
28 | #define forr(i,start,count) for (int i = (start); i < (start)+(count); ++i)
| ^
Main.cpp:259:9: note: in expansion of macro 'forr'
259 | forr(j,0,goal.size()) {
| ^~~~
Main.cpp:28:53: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::__cxx11::basic_string<char> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
28 | #define forr(i,start,count) for (int i = (start); i < (start)+(count); ++i)
| ^
Main.cpp:297:9: note: in expansion of macro 'forr'
297 | forr(j,0,goal.size()) {
| ^~~~
Main.cpp:28:53: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::__cxx11::basic_string<char> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
28 | #define forr(i,start,count) for (int i = (start); i < (start)+(count); ++i)
| ^
Main.cpp:305:13: note: in expansion of macro 'forr'
305 | forr(j,0,goal.size()) {
| ^~~~
Main.cpp: In instantiation of 'void SegmentTree2<T>::Initialize(const std::vector<_Tp>&) [with T = char]':
Main.cpp:51:11: required from 'SegmentTree2<T>::SegmentTree2(const std::vector<_Tp>&, std::function<T(T, T)>, T) [with T = char]'
Main.cpp:277:19: required from here
Main.cpp:83:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<char, std::allocator<char> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
83 | while(B < data.size()) {B *= 2; }
| ~~^~~~~~~~~~~~~
Main.cpp: In instantiation of 'void LazySegmentTree<T, S>::Initialize(const std::vector<_Tp>&) [with T = main(int, char**)::eq; S = char]':
Main.cpp:129:11: required from 'LazySegmentTree<T, S>::LazySegmentTree(const std::vector<_Tp>&, std::function<T(T, T)>, T, std::function<S(S, S)>, std::function<std::function<T(T)>(S)>, S) [with T = main(int, char**)::eq; S = char]'
/usr/include/c++/10/ext/new_allocator.h:150:4: required from 'void __gnu_cxx::new_allocator<_Tp>::construct(_Up*, _Args&& ...) [with _Up = LazySegmentTree<main(int, char**)::eq, char>; _Args = {std::vector<main(int, char**)::eq, std::allocator<main(int, char**)::eq> >&, main(int, char**)::<lambda(main(int, char**)::eq, main(int, char**)::eq)>, main(int, char**)::eq, main(int, char**)::<lambda(char, char)>, main(int, char**)::<lambda(char)>, char}; _Tp = LazySegmentTree<main(int, char**)::eq, char>]'
/usr/include/c++/10/bits/alloc_traits.h:512:17: required from 'static void std::allocator_traits<std::allocator<_CharT> >::construct(std::allocator_traits<std::allocator<_CharT> >::allocator_type&, _Up*, _Args&& ...) [with _Up = LazySegmentTree<main(int, char**)::eq, char>; _Args = {std::vector<main(int, char**)::eq, std::allocator<main(int, char**)::eq> >&, main(int, char**)::<lambda(main(int, char**)::eq, main(int, char**)::eq)>, main(int, char**)::eq, main(int, char**)::<lambda(char, char)>, main(int, char**)::<lambda(char)>, char}; _Tp = LazySegmentTree<main(int, char**)::eq, char>; std::allocator_traits<std::allocator<_CharT> >::allocator_type = std::allocator<LazySegmentTree<main(int, char**)::eq, char> >]'
/usr/include/c++/10/bits/vector.tcc:115:30: required from 'std::vector<_Tp, _Alloc>::reference std::vector<_Tp, _Alloc>::emplace_back(_Args&& ...) [with _Args = {std::vector<main(int, char**)::eq, std::allocator<main(int, char**)::eq> >&, main(int, char**)::<lambda(main(int, char**)::eq, main(int, char**)::eq)>, main(int, char**)::eq, main(int, char**)::<lambda(char, char)>, main(int, char**)::<lambda(char)>, char}; _Tp = LazySegmentTree<main(int, char**)::eq, char>; _Alloc = std::allocator<LazySegmentTree<main(int, char**)::eq, char> >; std::vector<_Tp, _Alloc>::reference = LazySegmentTree<main(int, char**)::eq, char>&]'
Main.cpp:270:13: required from here
Main.cpp:158:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<main(int, char**)::eq>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
158 | while(B < data.size()) {B *= 2; }
| ~~^~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2907 ms |
1320 KB |
Output is correct |
2 |
Correct |
3544 ms |
1604 KB |
Output is correct |
3 |
Correct |
4011 ms |
1476 KB |
Output is correct |
4 |
Correct |
3198 ms |
1548 KB |
Output is correct |
5 |
Correct |
3203 ms |
1492 KB |
Output is correct |
6 |
Correct |
2451 ms |
1376 KB |
Output is correct |
7 |
Correct |
3105 ms |
1368 KB |
Output is correct |
8 |
Correct |
2907 ms |
1328 KB |
Output is correct |
9 |
Correct |
2934 ms |
1400 KB |
Output is correct |
10 |
Correct |
2900 ms |
1412 KB |
Output is correct |
11 |
Correct |
3000 ms |
1540 KB |
Output is correct |
12 |
Correct |
2843 ms |
1476 KB |
Output is correct |
13 |
Correct |
2972 ms |
1348 KB |
Output is correct |
14 |
Correct |
2855 ms |
1404 KB |
Output is correct |
15 |
Correct |
2897 ms |
1332 KB |
Output is correct |
16 |
Correct |
2910 ms |
1340 KB |
Output is correct |
17 |
Correct |
3006 ms |
1340 KB |
Output is correct |
18 |
Correct |
3838 ms |
1576 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2907 ms |
1320 KB |
Output is correct |
2 |
Correct |
3544 ms |
1604 KB |
Output is correct |
3 |
Correct |
4011 ms |
1476 KB |
Output is correct |
4 |
Correct |
3198 ms |
1548 KB |
Output is correct |
5 |
Correct |
3203 ms |
1492 KB |
Output is correct |
6 |
Correct |
2451 ms |
1376 KB |
Output is correct |
7 |
Correct |
3105 ms |
1368 KB |
Output is correct |
8 |
Correct |
2907 ms |
1328 KB |
Output is correct |
9 |
Correct |
2934 ms |
1400 KB |
Output is correct |
10 |
Correct |
2900 ms |
1412 KB |
Output is correct |
11 |
Correct |
3000 ms |
1540 KB |
Output is correct |
12 |
Correct |
2843 ms |
1476 KB |
Output is correct |
13 |
Correct |
2972 ms |
1348 KB |
Output is correct |
14 |
Correct |
2855 ms |
1404 KB |
Output is correct |
15 |
Correct |
2897 ms |
1332 KB |
Output is correct |
16 |
Correct |
2910 ms |
1340 KB |
Output is correct |
17 |
Correct |
3006 ms |
1340 KB |
Output is correct |
18 |
Correct |
3838 ms |
1576 KB |
Output is correct |
19 |
Execution timed out |
7081 ms |
1022428 KB |
Time limit exceeded |
20 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2907 ms |
1320 KB |
Output is correct |
2 |
Correct |
3544 ms |
1604 KB |
Output is correct |
3 |
Correct |
4011 ms |
1476 KB |
Output is correct |
4 |
Correct |
3198 ms |
1548 KB |
Output is correct |
5 |
Correct |
3203 ms |
1492 KB |
Output is correct |
6 |
Correct |
2451 ms |
1376 KB |
Output is correct |
7 |
Correct |
3105 ms |
1368 KB |
Output is correct |
8 |
Correct |
2907 ms |
1328 KB |
Output is correct |
9 |
Correct |
2934 ms |
1400 KB |
Output is correct |
10 |
Correct |
2900 ms |
1412 KB |
Output is correct |
11 |
Correct |
3000 ms |
1540 KB |
Output is correct |
12 |
Correct |
2843 ms |
1476 KB |
Output is correct |
13 |
Correct |
2972 ms |
1348 KB |
Output is correct |
14 |
Correct |
2855 ms |
1404 KB |
Output is correct |
15 |
Correct |
2897 ms |
1332 KB |
Output is correct |
16 |
Correct |
2910 ms |
1340 KB |
Output is correct |
17 |
Correct |
3006 ms |
1340 KB |
Output is correct |
18 |
Correct |
3838 ms |
1576 KB |
Output is correct |
19 |
Correct |
3446 ms |
1480 KB |
Output is correct |
20 |
Correct |
4030 ms |
1316 KB |
Output is correct |
21 |
Correct |
3163 ms |
1336 KB |
Output is correct |
22 |
Correct |
2678 ms |
1488 KB |
Output is correct |
23 |
Correct |
2869 ms |
1344 KB |
Output is correct |
24 |
Correct |
2874 ms |
1376 KB |
Output is correct |
25 |
Correct |
2948 ms |
1332 KB |
Output is correct |
26 |
Correct |
3025 ms |
1336 KB |
Output is correct |
27 |
Correct |
2951 ms |
1340 KB |
Output is correct |
28 |
Correct |
2992 ms |
1388 KB |
Output is correct |
29 |
Correct |
3079 ms |
1572 KB |
Output is correct |
30 |
Correct |
2788 ms |
1320 KB |
Output is correct |
31 |
Correct |
2939 ms |
1484 KB |
Output is correct |
32 |
Correct |
3208 ms |
1400 KB |
Output is correct |
33 |
Correct |
3336 ms |
1380 KB |
Output is correct |
34 |
Correct |
2614 ms |
1372 KB |
Output is correct |
35 |
Correct |
3130 ms |
1412 KB |
Output is correct |
36 |
Correct |
3068 ms |
1408 KB |
Output is correct |
37 |
Correct |
2874 ms |
1424 KB |
Output is correct |
38 |
Correct |
2898 ms |
1312 KB |
Output is correct |
39 |
Correct |
2985 ms |
1468 KB |
Output is correct |
40 |
Correct |
3040 ms |
1524 KB |
Output is correct |
41 |
Correct |
3008 ms |
1456 KB |
Output is correct |
42 |
Correct |
2935 ms |
1364 KB |
Output is correct |
43 |
Correct |
2976 ms |
1432 KB |
Output is correct |
44 |
Correct |
2968 ms |
1468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2907 ms |
1320 KB |
Output is correct |
2 |
Correct |
3544 ms |
1604 KB |
Output is correct |
3 |
Correct |
4011 ms |
1476 KB |
Output is correct |
4 |
Correct |
3198 ms |
1548 KB |
Output is correct |
5 |
Correct |
3203 ms |
1492 KB |
Output is correct |
6 |
Correct |
2451 ms |
1376 KB |
Output is correct |
7 |
Correct |
3105 ms |
1368 KB |
Output is correct |
8 |
Correct |
2907 ms |
1328 KB |
Output is correct |
9 |
Correct |
2934 ms |
1400 KB |
Output is correct |
10 |
Correct |
2900 ms |
1412 KB |
Output is correct |
11 |
Correct |
3000 ms |
1540 KB |
Output is correct |
12 |
Correct |
2843 ms |
1476 KB |
Output is correct |
13 |
Correct |
2972 ms |
1348 KB |
Output is correct |
14 |
Correct |
2855 ms |
1404 KB |
Output is correct |
15 |
Correct |
2897 ms |
1332 KB |
Output is correct |
16 |
Correct |
2910 ms |
1340 KB |
Output is correct |
17 |
Correct |
3006 ms |
1340 KB |
Output is correct |
18 |
Correct |
3838 ms |
1576 KB |
Output is correct |
19 |
Execution timed out |
7081 ms |
1022428 KB |
Time limit exceeded |
20 |
Halted |
0 ms |
0 KB |
- |