Submission #591513

#TimeUsernameProblemLanguageResultExecution timeMemory
591513tutisFlight to the Ford (BOI22_communication)C++17
15 / 100
8000 ms2128 KiB
#include <bits/stdc++.h> using namespace std; using ll = long long; int prob = 1; #include "communication.h" int dec3(int x)//4 bit x { vector<int>ger; for (int m = 0; m < 16; m++) { bool ok = true; int v = m; while (v != 0) { if (v % 4 == 3) ok = false; v /= 2; } if (ok) ger.push_back(m); } int V[4] = {0, 0, 6, 9}; for (int i = 1; i <= 3; i++) { bool ok = true; for (int j : ger) if (x == (V[i] ^ j)) ok = false; if (ok) return i; } assert(false); return 0; } int enc3(int X) { int v = 0; if (X == 1) v = 0; else if (X == 2) v = 6; else if (X == 3) v = 9; int val = 0; for (int t = 0; t < 4; t++) { val += send(v % 2) << t; v /= 2; } return dec3(val); } string S4[4] = {"1000", "0001", "1110", "0111" }; int conv4(int i) { int v = 0; int p = 1; for (char c : S4[i]) { if (c == '1') v += p; p *= 2; } return v; } bitset<4> dec4(int x)//4 bit x { vector<int>ger; for (int m = 0; m < 16; m++) { bool ok = true; int v = m; while (v != 0) { if (v % 4 == 3) ok = false; v /= 2; } if (ok) ger.push_back(m); } bitset<4>ret; for (int i = 0; i < 4; i++) { for (int j : ger) if (x == (conv4(i) ^ j)) ret[i] = true; } return ret; } bitset<4> enc4(int X) { int v = conv4(X); int val = 0; for (int t = 0; t < 4; t++) { val += (send(v % 2) << t); v /= 2; } auto ret = dec4(val); assert(ret[X] == true); return ret; } const int bitcnt = 14; bitset < 1 << bitcnt > decB(int x) //4 bit x { vector<int>ger; for (int m = 0; m < (1 << bitcnt); m++) { bool ok = true; int v = m; while (v != 0) { if (v % 4 == 3) ok = false; v /= 2; } if (ok) ger.push_back(m); } bitset < 1 << bitcnt > ret; int s = 0; int i = 0; function<void(bool)>f = [&](bool gal) { if (i == bitcnt) { ret[x ^ s] = true; } else { int del = 1 << i; i++; if (gal) { f(true); s += del; f(false); s -= del; } else f(true); i--; } }; f(true); return ret; } bitset < 1 << bitcnt > encB(int v) { int val = 0; int vv = v; for (int t = 0; t < bitcnt; t++) { val += (send(v % 2) << t); v /= 2; } auto ret = decB(val); assert(ret[vv] == true); return ret; } void encode(int N, int X) { if (N < 3) return; if (N == 3) { enc3(X); return; } if (N >= (1 << bitcnt)) { while (N % (1 << bitcnt) != 0) N++; int v = N / (1 << bitcnt); int vv = (X - 1) / v; vv = min(vv, (1 << bitcnt) - 1); bitset < (1 << bitcnt) > gal = encB(vv); int s = 0; for (int i = 0; i < (1 << bitcnt); i++) { if (gal[i]) s += v; else if (i < vv) X -= v; } encode(s, X); return; } if (N >= 4) { while (N % 4 != 0) N++; int v = N / 4; int vv = (X - 1) / v; vv = min(vv, 3); bitset<4>gal = enc4(vv); int s = 0; for (int i = 0; i < 4; i++) { if (gal[i]) { s += v; } else if (i < vv) X -= v; } encode(s, X); return; } } pair<int, int> decode(int N) { if (N == 1) return {1, 1}; if (N == 2) return {1, 2}; if (N == 3) { int val = 0; for (int t = 0; t < 4; t++) val += receive() << t; int v = dec3(val); pair<int, int>ans = {1, 2}; if (v == 1) ans.first = 3; if (v == 2) ans.second = 3; return ans; } if (N >= (1 << bitcnt)) { int N1 = N; while (N % (1 << bitcnt) != 0) N++; int re = 0; for (int t = 0; t < bitcnt; t++) re += receive() << t; bitset < (1 << bitcnt) > gal = decB(re); int v = N / (1 << bitcnt); int s = 0; for (int i = 0; i < (1 << bitcnt); i++) if (gal[i]) s += v; pair<int, int>r = decode(s); int sum = 0; bool ger1 = false; bool ger2 = false; for (int i = 0; i < (1 << bitcnt); i++) { if (gal[i]) { if (r.first > sum && r.first <= sum + v && ger1 == false) { for (int j = 0; j < i; j++) { if (gal[j] == false) r.first += v; } ger1 = true; } if (r.second > sum && r.second <= sum + v && ger2 == false) { for (int j = 0; j < i; j++) { if (gal[j] == false) r.second += v; } ger2 = true; } sum += v; } } r.first = min(r.first, N1); r.second = min(r.second, N1); return r; } if (N >= 4) { int N1 = N; while (N % 4 != 0) N++; int re = 0; for (int t = 0; t < 4; t++) re += receive() << t; bitset<4> gal = dec4(re); int v = N / 4; int s = 0; for (int i = 0; i < 4; i++) if (gal[i]) s += v; pair<int, int>r = decode(s); int sum = 0; bool ger1 = false; bool ger2 = false; for (int i = 0; i < 4; i++) { if (gal[i]) { if (r.first > sum && r.first <= sum + v && ger1 == false) { for (int j = 0; j < i; j++) if (gal[j] == false) r.first += v; ger1 = true; } if (r.second > sum && r.second <= sum + v && ger2 == false) { for (int j = 0; j < i; j++) if (gal[j] == false) r.second += v; ger2 = true; } sum += v; } } r.first = min(r.first, N1); r.second = min(r.second, N1); return r; } return { -1, -1}; } // int main() // { // for (int t = 0; t < 1000; t++) // { // int N = 1e8; // int val = (t % N) + 1; // encode(N, val); // pair<int, int>v = decode(N); // cout << v.first << " " << v.second << endl; // assert(v.first == val || v.second == val); // } // }
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