QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#300525#7508. Fast DebuggerdefyersTL 1ms3816kbC++205.2kb2024-01-08 13:42:552024-01-08 13:42:56

Judging History

你现在查看的是最新测评结果

  • [2024-01-08 13:42:56]
  • 评测
  • 测评结果:TL
  • 用时:1ms
  • 内存:3816kb
  • [2024-01-08 13:42:55]
  • 提交

answer

#include "bits/stdc++.h"
using namespace std;

#define all(a) (a).begin(), (a).end()
#define int long long 
using ll = long long;
using LL = long long;
using pii = pair<int, int>;

const int AND = 1;
const int OR = 2;
const int XOR = 3;
const int FOR = 4;
const int END = 5;
const int AX = 256;
const int BX = 257;
const int CX = 258;
const int DX = 259;
struct Action{
	int op, a, b;
};

string operandToString(int x){
	if(x == AX) return "ax";
	if(x == BX) return "bx";
	if(x == CX) return "cx";
	if(x == DX) return "dx";
	return to_string(x);
}
ostream& operator<< (ostream& out, const Action& A){
	map<int, string> ops = {
		{AND, "AND"},
		{OR, "OR"},
		{XOR, "XOR"},
		{FOR, "FOR"},
		{END, "END"}
	};
	out << ops[A.op] << ' ' << operandToString(A.a) << ' ' << operandToString(A.b);
	return out;
}

int readInstruction(){
	string s; cin >> s;
	if(s.substr(0, 3) == "and")
		return AND;
	else if(s.substr(0, 2) == "or"){
		return OR;
	}else if(s.substr(0, 3) == "xor"){
		return XOR;
	}else if(s == "repeat"){
		return FOR;
	}else if(s == "end"){
		return END;
	}
	assert(false);
	return 0;
}

int readOperand(){
	string s; cin >> s;
	if(isalpha(s[0])){
		return 256 + (s[0] - 'a');
	}else{
		return stoi(s);
	}
}

int getValue(int state, int oper){
	if(oper >= 256){
		return (state >> (oper - 256)) & 1;
	}else{
		return oper;
	}
}

struct Func{
	int a[16];
	Func() = default;
	Func(int op, int a, int b){
		for(int msk = 0; msk < 16; msk++){
			int x = getValue(msk, a);
			int y = getValue(msk, b);
			int z;
			assert(x <= 1);
			assert(y <= 1);
			if (op == AND) {
				z = x & y;
			} else if (op == OR) {
				z = x | y;
			} else if (op == XOR) {
				z = x ^ y;
			}
			int ap = a - 256;
			int new_msk = (msk & (15 - (1 << ap))) | (z << ap);
			Func::a[msk] = new_msk;
		}
	}
	static Func Id(){
		Func res;
		for(int i = 0; i < 16; i++){
			res.a[i] = i;
		}
		return res;
	}
};

Func operator* (const Func& f, const Func& g){
	Func h;
	for(int i = 0; i < 16; i++){
		h.a[i] = g.a[f.a[i]];
	}
	return h;
}

template<class T>
T pow (const T& f, int k) {
	T res = T::Id(), g = f;
	while(k){
		if(k & 1) res = res * g;
		g = g * g; k >>= 1;
	}
	return res;
}

struct Func8 : vector<Func> {

	Func8 () = default;
	static Func8 Id(){
		Func8 res;
		for(int i = 0; i < 8; i++){
			res.push_back(Func::Id());
		}
		return res;
	}

	Func8(int op, int a, int b){
		// cout << a << ' ' << b << endl;
		for(int i = 0; i < 8; i++){
			push_back(Func(op, a >= 256 ? a : (a >> i) & 1, b >= 256 ? b : (b >> i) & 1));
		}
	}
};

Func8 operator* (const Func8& f, const Func8& g){
	Func8 res;
	for(int i = 0; i < 8; i++){
		res.push_back(f[i] * g[i]);
	}
	return res;
}

struct node{
	vector<Func8> ps; Func8 tot = Func8::Id();
	vector<int> cnt; int sz;
	vector<node*> ch; node* par = nullptr;
	Action act;

	node* append(const Action& act){
		if(act.op != END){
			node *v = new node();
			v->act = act;
			ch.push_back(v); v->par = this;
			if(act.op == FOR)
				return v;
			else
				return this;
		}else{
			return par;
		}
	}
};

void dfs0(node* v){
	int sz = 0;
	v->ps.push_back(Func8::Id());
	v->cnt.push_back(0);
	for(auto u : v->ch){
		dfs0(u);
		v->ps.push_back(v->ps.back() * u->tot);
		v->cnt.push_back(v->cnt.back() + u->sz);
	}
	if(v->act.op == FOR){
		v->tot = pow(v->ps.back(), v->act.a);
		v->sz = v->cnt.back() * v->act.a;
	}else{
		v->tot = Func8(v->act.op, v->act.a, v->act.b);
		v->sz = 1;
	}
	v->sz = min(v->sz, 1LL << 30);
}

Func8 dfs(node* v, int k){
	assert(k >= 0);
	if(k == 0) return Func8::Id();
	if(v->act.op != FOR){
		assert(k == 1);
		return v->tot;
	}else{
		int psz = v->cnt.back();
		Func8 res = pow(v->ps.back(), k / psz);
		int pos = --upper_bound(all(v->cnt), k % psz) - v->cnt.begin();
		res = res * v->ps[pos];
		if(pos < v->ch.size()){
			res = res * dfs(v->ch[pos], k % psz - v->cnt[pos]);
		}
		return res;
	}
	
}

void solve(int TC) {
	int n, q; cin >> n >> q;
	vector<Action> A;
	for(int i = 0; i < n; i++){
		int ins = readInstruction();
		if(ins == FOR){
			int k; cin >> k;
			A.push_back({FOR, k});
		}else if(ins == END){
			A.push_back({END});
		}else{
			int a = readOperand(), b = readOperand();
			A.push_back({ins, a, b});
		}
	}

	node *root = new node();
	root->act = {FOR, 1, 0};
	node *cur = root;
	for(auto act : A){
		cur = cur->append(act);
	}
	cur->append({END});

	dfs0(root);
	assert(cur == root);
	// for(auto act : A){
	// 	cout << act << '\n';
	// }

	for(int i = 0; i < q; i++){
		int k, a, b, c, d; cin >> k >> a >> b >> c >> d;
		int a2 = 0, b2 = 0, c2 = 0, d2 = 0;
		Func8 ans = dfs(root, k);
		for(int i = 0; i < 8; i++){
			int v = ((a >> i) & 1)
				+   ((b >> i) & 1) * 2
				+   ((c >> i) & 1) * 4
				+   ((d >> i) & 1) * 8;
			v = ans[i].a[v];
			a2 += (v & 1 ? (1 << i) : 0);
			b2 += (v & 2 ? (1 << i) : 0);
			c2 += (v & 4 ? (1 << i) : 0);
			d2 += (v & 8 ? (1 << i) : 0);
		}
		cout << a2 << ' ' << b2 << ' ' << c2 << ' ' << d2 << '\n';
	}
}

int32_t main() {
	cin.tie(0)->sync_with_stdio(0);
	cout << fixed << setprecision(10);

	int t = 1;
	// cin >> t;

	for (int i = 1; i <= t; i++) {
		solve(i);
	}
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3816kb

input:

6 2
repeat 5
xor ax bx
xori ax 3
and cx ax
xor cx dx
end
10 1 2 4 3
8 4 1 2 3

output:

0 2 2 3
4 1 3 3

result:

ok 8 numbers

Test #2:

score: -100
Time Limit Exceeded

input:

11982 10000
repeat 2
repeat 2
andi bx 201
xori cx 241
repeat 4
xor cx bx
xor ax dx
repeat 8
or dx bx
xori dx 22
end
repeat 2
xor dx bx
xor dx bx
repeat 7
xor bx bx
or cx dx
and bx cx
end
andi dx 33
xori ax 179
xori bx 56
end
xori dx 63
xori cx 91
xori dx 228
or cx dx
repeat 6
xor cx dx
xori bx 198
x...

output:

24 195 0 75
0 195 0 245
199 193 6 13
252 73 245 67
0 0 0 0
51 0 0 245
99 26 0 196
51 195 0 75
247 253 247 37
119 198 119 186
235 235 44 36
4 0 181 0
76 228 253 0
51 245 245 33
119 119 176 0
198 198 1 11
199 93 154 3
106 106 152 21
93 92 42 3
236 236 247 147
198 198 204 135
0 51 0 75
119 118 10 151
1...

result: