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| using namespace std; | |
| // A simple struct to hold instruction details. | |
| struct Instruction { | |
| string type; | |
| int a, x, b, y; | |
| }; | |
| int main() { | |
| ios_base::sync_with_stdio(false); | |
| cin.tie(NULL); | |
| unsigned int k; | |
| cin >> k; | |
| if (k == 1) { | |
| cout << 1 << endl; | |
| cout << "HALT PUSH 1 GOTO 1" << endl; | |
| return 0; | |
| } | |
| unsigned int m = (k - 1) / 2; | |
| vector<Instruction> program; | |
| int n = 0; | |
| // Entry point: instruction 1 | |
| // The stack is empty. This instruction pushes a special marker (1020) | |
| // to signify an empty initial counter and transfers control to the | |
| // first bit-processing block (for bit 30). | |
| program.push_back({"POP", 1023, 2, 1020, 2}); | |
| n = 1; | |
| // Generate 31 blocks of instructions, one for each bit of M from 30 down to 0. | |
| for (int i = 30; i >= 0; --i) { | |
| bool bit_is_one = (m >> i) & 1; | |
| int current_block_start = n + 1; | |
| int next_block_start; | |
| if (i > 0) { | |
| next_block_start = current_block_start + 6; | |
| } else { | |
| // After processing bit 0, jump to the main execution loop. | |
| next_block_start = 1 + 31 * 6 + 1; | |
| } | |
| // Define distinct symbols for items at each stage to avoid conflicts. | |
| // `val_in_prev_stage`: Symbol from the previous stage (or initial marker). | |
| // `val_out_current_stage`: Symbol this stage will produce. | |
| // `val_temp`: Temporary symbol used during the doubling process. | |
| int val_in_prev_stage = (i == 30) ? 1020 : (2 * (i + 1) + 3); | |
| int val_out_current_stage = (i == 0) ? 3 : (2 * i + 3); | |
| int val_temp = 2 * i + 4; | |
| // --- Block for bit i --- | |
| // Part 1: Doubling (converts each val_in_prev_stage to two val_temp) | |
| // D1: Pop an item from the previous stage. If none, go to the Adder part. | |
| program.push_back({"POP", val_in_prev_stage, current_block_start + 1, 1021, current_block_start + 3}); | |
| // D2 & D3: Push two temporary items. Then loop back to D1. | |
| program.push_back({"POP", 1023, current_block_start + 2, val_temp, current_block_start + 2}); | |
| program.push_back({"POP", 1023, current_block_start, val_temp, current_block_start}); | |
| // Part 2: Adder (conditionally adds one item if bit is 1) | |
| int adder_target = current_block_start + 4; | |
| if (bit_is_one) { | |
| // If m_i is 1, push one new item. The POP on 1021 will fail. | |
| program.push_back({"POP", 1021, adder_target, val_out_current_stage, adder_target}); | |
| } else { | |
| // If m_i is 0, just pass control. | |
| program.push_back({"POP", 1021, adder_target, 1021, adder_target}); | |
| } | |
| // Part 3: Conversion (converts each val_temp back to val_out_current_stage) | |
| // C1: Pop a temporary item. If none, go to the next bit's block. | |
| program.push_back({"POP", val_temp, current_block_start + 5, 1021, next_block_start}); | |
| // C2: Push one final item. Loop back to C1. | |
| program.push_back({"POP", 1023, current_block_start + 4, val_out_current_stage, current_block_start + 4}); | |
| n += 6; | |
| } | |
| // Main loop: runs for 2*M steps. | |
| int loop_entry = n + 1; | |
| int halt_instr = n + 2; | |
| // The symbol for the final counter items is 3. | |
| program.push_back({"POP", 3, halt_instr, 2, loop_entry}); | |
| program.push_back({"HALT", -1, -1, 1, loop_entry}); | |
| n += 2; | |
| cout << n << endl; | |
| for (const auto& instr : program) { | |
| if (instr.type == "POP") { | |
| cout << "POP " << instr.a << " GOTO " << instr.x << " PUSH " << instr.b << " GOTO " << instr.y << endl; | |
| } else { // HALT | |
| cout << "HALT PUSH " << instr.b << " GOTO " << instr.y << endl; | |
| } | |
| } | |
| return 0; | |
| } |