제출 #830902

#제출 시각아이디문제언어결과실행 시간메모리
830902PanosPask앵무새 (IOI11_parrots)C++14
100 / 100
182 ms73764 KiB
#include "encoder.h" #include "encoderlib.h" #include <vector> #include <iostream> using namespace std; struct BigNum { const int BASE = 256; // The higher order is back to front vector<int> num; BigNum(vector<int>& a) { num = a; } BigNum(int a) { while (a) { num.push_back(a % BASE); a /= BASE; } } BigNum(void) { ; } int size(void) { return this->num.size(); } bool operator < (const BigNum& L) { if (this->num.size() < L.num.size()) return true; else if (this->num.size() > L.num.size()) return false; for (int i = L.num.size() - 1; i >= 0; i--) { int a = this->num[i]; int b = L.num[i]; if (a < b) return true; if (b < a) return false; } return false; } bool operator == (BigNum& L) { return !(*this < L) && !(L < *this); } bool operator <= (BigNum& L) { return (*this < L) || (*this == L); } bool operator > (BigNum& L) { return !(*this <= L); } bool operator >= (BigNum& L) { return !(*this < L); } void operator = (BigNum L) { this->num = L.num; } BigNum operator + (BigNum& L) { BigNum c; int keep = 0; for (int i = 0; i < max(L.size(), this->size()); i++) { int v = keep; keep = 0; if (i < L.size()) v += L.num[i]; if (i < this->size()) v += this->num[i]; if (v >= BASE) { keep = 1; v -= BASE; } c.num.push_back(v); } if (keep) c.num.push_back(keep); return c; } BigNum operator - (BigNum& L) { BigNum c; int rem = 0; for (int i = 0; i < this->size(); i++) { int v = this->num[i] - rem; rem = 0; if (i < L.size()) v -= L.num[i]; if (v < 0) { v += BASE; rem = 1; } c.num.push_back(v); } while (c.size() && c.num.back() == 0) c.num.pop_back(); return c; } }; static int BASE = 256; static int TOP = 400; // dp[i][j]: Number of sequences of length i + 1 that start with j static vector<vector<BigNum>> dp; // pref[i][j]: Number of sequences of length i + 1 and first number at most j static vector<vector<BigNum>> pref; static bool done = false; static void calculate_dp(void) { dp.assign(TOP, vector<BigNum>(BASE, (BigNum)(0))); pref.resize(TOP, vector<BigNum>(BASE)); for (int i = 0; i < TOP; i++) { for (int j = 0; j < BASE; j++) { if (i) { dp[i][j] = pref[i - 1][j]; } else { dp[0][j] = 1; } } pref[i][0] = dp[i][0]; for (int j = 1; j < BASE; j++) { pref[i][j] = dp[i][j] + pref[i][j - 1]; } } } void construct_sequence(BigNum num, int MAXC, int r) { if (r == 0) { send(num.num[0] - 1); return; } int c = MAXC; while (c >= 0 && pref[r][c] >= num) c--; if (c >= 0) { num = num - pref[r][c]; } c++; send(c); construct_sequence(num, c, r - 1); } void encode(int N, int M[]) { if (!done) { calculate_dp(); done = true; } int i; vector<int> v; for(i=0; i<N; i++) v.push_back(M[i]); while (v.size() && v.back() == 0) v.pop_back(); BigNum num(v); BigNum b(1); num = num + b; BigNum tot(0); int r = 0; int c = 0; while (tot + pref[r][BASE - 1] < num) { tot = tot + pref[r][BASE - 1]; r++; } while (tot + dp[r][c] < num) { tot = tot + dp[r][c]; c++; } num = num - tot; send(c); if (r != 0) construct_sequence(num, c, r - 1); }
#include "decoder.h" #include "decoderlib.h" #include <bits/stdc++.h> using namespace std; struct BigNum { const int BASE = 256; // The higher order is back to front vector<int> num; BigNum(vector<int>& a) { num = a; } BigNum(int a) { while (a) { num.push_back(a % BASE); a /= BASE; } } BigNum(void) { ; } int size(void) { return this->num.size(); } bool operator < (const BigNum& L) { if (this->num.size() < L.num.size()) return true; else if (this->num.size() > L.num.size()) return false; for (int i = L.num.size() - 1; i >= 0; i--) { int a = this->num[i]; int b = L.num[i]; if (a < b) return true; if (b < a) return false; } return false; } bool operator == (BigNum& L) { return !(*this < L) && !(L < *this); } bool operator <= (BigNum& L) { return (*this < L) || (*this == L); } bool operator > (BigNum& L) { return !(*this <= L); } bool operator >= (BigNum& L) { return !(*this < L); } void operator = (BigNum L) { this->num = L.num; } BigNum operator + (BigNum& L) { BigNum c; int keep = 0; for (int i = 0; i < max(L.size(), this->size()); i++) { int v = keep; keep = 0; if (i < L.size()) v += L.num[i]; if (i < this->size()) v += this->num[i]; if (v >= BASE) { keep = 1; v -= BASE; } c.num.push_back(v); } if (keep) c.num.push_back(keep); return c; } BigNum operator - (BigNum& L) { BigNum c; int rem = 0; for (int i = 0; i < this->size(); i++) { int v = this->num[i] - rem; rem = 0; if (i < L.size()) v -= L.num[i]; if (v < 0) { v += BASE; rem = 1; } c.num.push_back(v); } while (c.size() && c.num.back() == 0) c.num.pop_back(); return c; } }; static int BASE = 256; static int TOP = 400; // dp[i][j] : Number of sequences of length i with the first number beeing AT MOST static vector<vector<BigNum>> dp; static vector<vector<BigNum>> pref; static bool done = false; static void calculate_dp(void) { dp.assign(TOP, vector<BigNum>(BASE, (BigNum)(0))); pref.resize(TOP, vector<BigNum>(BASE)); for (int i = 0; i < TOP; i++) { for (int j = 0; j < BASE; j++) { if (i) { dp[i][j] = pref[i - 1][j]; } else { dp[0][j] = 1; } } pref[i][0] = dp[i][0]; for (int j = 1; j < BASE; j++) { pref[i][j] = dp[i][j] + pref[i][j - 1]; } } } // Returns the number of all sequences of length r with maximum number LESS THAN c BigNum count(int r, int c) { if (!c) return BigNum(0); return pref[r][c - 1]; } void decode(int N, int L, int X[]) { if (!done) { calculate_dp(); done = true; } sort(X, X + L); reverse(X, X + L); BigNum num(0); for (int r = 0; r < L - 1; r++) num = num + pref[r][BASE - 1]; if (X[0]) num = num + pref[L - 1][X[0] - 1]; for (int i = 1; i < L; i++) { BigNum c = count(L - i - 1, X[i]); num = num + c; } // BigNum b(1); // num = num - b; while (num.size() < N) num.num.push_back(0); for (int i = 0; i < N; i++) output(num.num[i]); }
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