Submission #960031

#	Time	Username	Problem	Language	Result	Execution time	Memory
960031		kilkuwu	Alice, Bob, and Circuit (APIO23_abc)	C++17	12 / 100	113 ms	10144 KiB

abc

#include "abc.h"
#include <bits/stdc++.h>

// 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 i = 0; i < 16; i++) {
    outputs_alice[i] = numbers[0] >> i & 1;
  }
  return 16;
}


// 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 i = 0; i < 16; i++) {
    outputs_bob[i] = m >> i & 1;
  }
  return 16;
}


// 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 comp_gate = la + lb;
  auto add_op = [&](int op, int a, int b) -> int {
    operations[comp_gate] = op;
    operands[comp_gate][0] = a;
    operands[comp_gate][1] = b; 
    comp_gate++;
    return comp_gate - 1;
  };

  // basically bit shifting
  // xor same equal 0
  int zero = add_op(OP_XOR, 0, 0);

  using Num16 = std::array<int, 16>;
  Num16 zero16;
  for (int i = 0; i < 16; i++) zero16[i] = zero;

  auto bit_shift_left = [&](Num16 a, int amount) -> Num16 {
    if (amount >= 16) {
      return zero16;
    }

    for (int i = 15 - amount; i >= 0; i--) {
      a[i + amount] = a[i];
      a[i] = zero;
    }
    
    return a;
  };

  auto add_16 = [&](Num16 a, Num16 b) {
    int carry = zero;
    Num16 res;
    for (int i = 0; i < 16; i++) {
      int x = add_op(OP_XOR, a[i], b[i]);
      res[i] = add_op(OP_XOR, x, carry);
      carry = add_op(OP_OR, add_op(OP_AND, a[i], b[i]), add_op(OP_AND, x, carry));
    }
    return res;
  };

  auto and_16 = [&](Num16 a, int v) {
    Num16 res;
    for (int i = 0; i < 16; i++) {
      res[i] = add_op(OP_AND, a[i], v);
    }
    return res;
  };

  auto multiply = [&](Num16 a, Num16 b) {
    Num16 res = zero16;

    for (int bit = 0; bit < 16; bit++) {
      res = add_16(res, and_16(a, b[bit]));
      a = bit_shift_left(a, 1);
    } 
    // 0111 1011
    // 0000000

    return res;
  };

  Num16 n, m;

  for (int i = 0; i < 16; i++) {
    n[i] = i;
  }

  for (int i = 0; i < 16; i++) {
    m[i] = 16 + i;
  }

  auto res = multiply(n, m);

  for (int i = 0; i < 16; i++) {
    outputs_circuit[0][i] = res[i];
  }

  return comp_gate;
}

• Subtask 1: 4 / 4
• Subtask 2: 4 / 4
• Subtask 3: 4 / 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