Submission #1063869

#	Time	Username	Problem	Language	Result	Execution time	Memory
1063869		sleepntsheep	Alice, Bob, and Circuit (APIO23_abc)	C++17	0 / 100	63 ms	12524 KiB

abc

#include "abc.h"
#include <array>
#include <cassert>
using namespace std;

// you may find the definitions useful
const int OP_ZERO    = 0;  // f(OP_ZERO,    x0, x1) = 0
const int OP_NOR     = 1;  // f(OP_NOR,     x0, x1) = !(x0 || x1)
const int OP_GREATER = 2;  // f(OP_GREATER, x0, x1) = (x0 > x1)
const int OP_NOT_X1  = 3;  // f(OP_NOT_X1,  x0, x1) = !x1
const int OP_LESS    = 4;  // f(OP_LESS,    x0, x1) = (x0 < x1)
const int OP_NOT_X0  = 5;  // f(OP_NOT_X0,  x0, x1) = !x0
const int OP_XOR     = 6;  // f(OP_XOR,     x0, x1) = (x0 ^ x1)
const int OP_NAND    = 7;  // f(OP_NAND,    x0, x1) = !(x0 && x1)
const int OP_AND     = 8;  // f(OP_AND,     x0, x1) = (x0 && x1)
const int OP_EQUAL   = 9;  // f(OP_EQUAL,   x0, x1) = (x0 == x1)
const int OP_X0      = 10; // f(OP_X0,      x0, x1) = x0
const int OP_GEQ     = 11; // f(OP_GEQ,     x0, x1) = (x0 >= x1)
const int OP_X1      = 12; // f(OP_X1,      x0, x1) = x1
const int OP_LEQ     = 13; // f(OP_LEQ,     x0, x1) = (x0 <= x1)
const int OP_OR      = 14; // f(OP_OR,      x0, x1) = (x0 || x1)
const int OP_ONE     = 15; // f(OP_ONE,     x0, x1) = 1


// Alice
int // returns la
alice(
    /*  in */ const int n,
    /*  in */ const char names[][5],
    /*  in */ const unsigned short numbers[],
    /* out */ bool outputs_alice[]
    ) {
  for (int j = 0; j < 16; ++j)
    outputs_alice[j] = (numbers[0] >> j) & 1;
  return 16 * n;
}


// Bob
int // returns lb
bob(
    /*  in */ const int m,
    /*  in */ const char senders[][5],
    /*  in */ const char recipients[][5],
    /* out */ bool outputs_bob[]
   ) {
  for (int j = 0; j < 16; ++j)
    outputs_bob[j] = ((m >> j) & 1);
  for (int j = 0; j < 26; ++j) {
    int e = (senders[j][0] - 'a') * 26 + (recipients[j][0] - 'a') * 26;
    for (int k = 0; k < 25; ++k) outputs_bob[16 + j * 25 + k] = (e >> k) & 1;
  }
  return 16 + m * 25;
}

// Circuit
int // returns l
circuit(
    /*  in */ const int la,
    /*  in */ const int lb,
    /* out */ int operations[],
    /* out */ int operands[][2],
    /* out */ int outputs_circuit[][16]
    ) {
  int x { la + lb };
  array<int, 1001> num {};

  auto put2 = [&](int type, int o1, int o2, int &k) { operations[k] = type; operands[k][0] = o1; operands[k][1] = o2; return k++; };
  auto put = [&](int type, int o1, int o2) {return put2(type,o1,o2,x);};

  auto c_const = [&](int num, int bit) {
    for (int j = 0; j < bit; ++j) put(((num >> j) & 1) ? OP_ONE : OP_ZERO, 0, 0);
    return x - bit;
  };


  auto c_le = [&](int i, int j, int bit) {
    int l0 = num[0], l1 = num[0];
    for (int I = i + bit - 1, J = j + bit - 1; I >= i; --I, --J) {
      l0 = put(OP_OR, l0, put(OP_AND, put(OP_NOT_X1, num[0], l1), put(OP_LESS, I, J)));
      l1 = put(OP_OR, l1, put(OP_XOR, I, J));
    }
    return l0;
  };

  auto c_add = [&](int i, int j, int bit) {
    int X = x;
    x += 6 * bit;
    int C = num[0];
    for (int k = 0, A = i, B = j; k < bit; ++k, ++A, ++B) {
      put(OP_XOR, put2(OP_XOR, A, B, X), C);
      int ab = put2(OP_AND, A, B, X);
      int bc = put2(OP_AND, B, C, X);
      int ca = put2(OP_AND, C, A, X);
      C = put2(OP_OR, put2(OP_OR, ab, bc, X), ca, X);
    }
    return x - bit;
  };

  auto c_eq = [&](int i, int j, int bit) { int l0 = num[0]; for (int I = i + bit - 1, J = j + bit - 1; I >= i; --I, --J) l0 = put(OP_OR, l0, put(OP_XOR, I, J)); return l0; };
  auto c_and = [&](int num, int take, int bit) {
    for (int j = 0; j < bit; ++j) put(OP_AND, j + num, take);
    return x - bit;
  };

  num[0] = c_const(0, 16);

  int EDGE_COST = 19000000, EDGE_TO = 19200000;

  int fav[26] {}, results[26] {};
  EDGE_COST = x;
  for (int i = 0; i < 26; ++i)
    for (int j = 0; j < 26; ++j)
      for (int k = 0; k < 16; ++k) {
        int l = x + i * 26 + j + k;
        operations[l] = OP_OR;
        operands[l][0] = 16 + 16 * i + k;
        operands[l][1] = num[0];
        ++x;
      }

  EDGE_TO = x;
  for (int i = 0; i < 26; ++i)
    for (int j = 0; j < 26; ++j)
      for (int k = 0; k < 16; ++k) {
        int l = x + i * 26 + j + k;
        operations[l] = OP_OR;
        operands[l][0] = ((j >> k) & 1) ? OP_ONE: OP_ZERO;
        operands[l][1] = num[0];
        ++x;
      }

  for (int i = 1; i <= 3000; ++i) num[i] = c_const(i, 16);

  for (int i = 0; i < 676; ++i) {
    int cost = c_add(lb + i * 25, num[EDGE_COST], 16);
    int to = c_add(lb + i * 25, num[EDGE_TO], 16);
    for (int j = 0; j < 26; ++j) {
      results[j] = c_add(results[j], 
                c_and(cost, put(OP_AND, c_le(num[j], lb, 16), c_eq(num[j], to, 16)), 16), 16);
    }
  }

  for (int i = 0; i < 26; ++i) for (int j = 0; j < 16; ++j) outputs_circuit[i][j] = results[i] + j;
  return x;
}

Compilation message (stderr)

abc.cpp: In function 'int circuit(int, int, int*, int (*)[2], int (*)[16])':
abc.cpp:110:7: warning: unused variable 'fav' [-Wunused-variable]
  110 |   int fav[26] {}, results[26] {};
      |       ^~~
abc.cpp:133:42: warning: iteration 1000 invokes undefined behavior [-Waggressive-loop-optimizations]
  133 |   for (int i = 1; i <= 3000; ++i) num[i] = c_const(i, 16);
abc.cpp:133:21: note: within this loop
  133 |   for (int i = 1; i <= 3000; ++i) num[i] = c_const(i, 16);
      |                   ~~^~~~~~~

• Subtask 1: 0 / 4
• Subtask 2: 0 / 4
• Subtask 3: 0 / 4
• Subtask 4: 0 / 24
• Subtask 5: 0 / 24
• Subtask 6: 0 / 6
• Subtask 7: 0 / 18
• Subtask 8: 0 / 10
• Subtask 9: 0 / 6