File size: 4,013 Bytes
1fd0050 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 | #include <iostream>
#include <vector>
#include <string>
using namespace std;
struct Instruction {
string type;
int a, x, b, y;
};
long long k;
vector<Instruction> program;
void add_inst(string type, int a, int x, int b, int y) {
program.push_back({type, a, x, b, y});
}
// Helper to get current instruction index (1-based)
int current_idx() {
return program.size() + 1;
}
int main() {
if (cin >> k) {}
if (k == 1) {
cout << "1" << endl;
cout << "HALT PUSH 1 GOTO 1" << endl;
return 0;
}
// Target cost W = k - 1
// Costs: C_0 = 2, C_i = 2*C_{i-1} + 6
long long W = k - 1;
// Determine number of layers m
vector<long long> min_costs;
long long curr = 2;
min_costs.push_back(curr);
while (true) {
long long next_c = 2 * curr + 6;
if (next_c > W) break;
min_costs.push_back(next_c);
curr = next_c;
}
int m = min_costs.size() - 1;
vector<long long> layer_costs(m + 1);
vector<long long> k_waste(m + 1);
layer_costs[m] = W;
for (int i = m; i >= 1; --i) {
long long target = (layer_costs[i] - 6) / 2;
if (target % 2 != 0) target--;
layer_costs[i-1] = target;
k_waste[i] = (layer_costs[i] - 6 - 2 * layer_costs[i-1]) / 2;
}
k_waste[0] = (layer_costs[0] - 2) / 2;
// Inst 1: HALT ...
add_inst("HALT", 0, 0, 1, 0); // Placeholder y
vector<int> entry_indices(m + 1);
vector<int> return_patch_indices(m + 1);
for (int i = 0; i <= m; ++i) {
entry_indices[i] = current_idx();
int V_i1 = 2 * i + 1;
int V_i2 = 2 * i + 2;
if (i == 0) {
// Layer 0
for (int w = 0; w < k_waste[0]; ++w) {
int loop_push = current_idx();
add_inst("POP", 1024, loop_push, 1000, loop_push + 1);
int loop_pop = current_idx();
add_inst("POP", 1000, loop_pop + 1, 1000, loop_pop);
}
int ret_inst = current_idx();
add_inst("POP", V_i1, 0, 1, 0);
return_patch_indices[i] = ret_inst;
} else {
// Layer i > 0
int V_prev1 = 2 * (i - 1) + 1;
// Entry_i
add_inst("POP", 1024, current_idx(), V_prev1, entry_indices[i-1]);
// Return_{i-1} handler
int ret_handler_idx = current_idx();
program[return_patch_indices[i-1] - 1].x = ret_handler_idx;
int transit_idx = ret_handler_idx + 1;
int transit_len = 1 + 2 * k_waste[i] + 1;
int check2_idx = transit_idx + transit_len;
add_inst("POP", V_i1, transit_idx, 1024, check2_idx);
// Transit
add_inst("POP", 1024, current_idx(), V_i2, current_idx() + 1);
for (int w = 0; w < k_waste[i]; ++w) {
int loop_push = current_idx();
add_inst("POP", 1024, loop_push, 1000, loop_push + 1);
int loop_pop = current_idx();
add_inst("POP", 1000, loop_pop + 1, 1000, loop_pop);
}
add_inst("POP", 1024, current_idx(), V_prev1, entry_indices[i-1]);
// Check2
add_inst("POP", 1024, current_idx() + 1, 1024, current_idx());
int ret_inst = current_idx();
add_inst("POP", V_i2, 0, 1, 0);
return_patch_indices[i] = ret_inst;
}
}
program[0].y = entry_indices[m];
program[return_patch_indices[m] - 1].x = 1;
cout << program.size() << endl;
for (const auto& ins : program) {
if (ins.type == "HALT") {
cout << "HALT PUSH " << ins.b << " GOTO " << ins.y << endl;
} else {
cout << "POP " << ins.a << " GOTO " << ins.x << " PUSH " << ins.b << " GOTO " << ins.y << endl;
}
}
return 0;
} |