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| // Generalized chain search: d POPs + 1 HALT | |
| // POP j: pop (j+1), goto g1[j], push (j+1), goto gy[j] | |
| // HALT: push 1, goto d | |
| // Variables: g1[j] in {0..d}, gy[j] in {0..j} | |
| // For d=26, search for targets 150994941 and 150994939 | |
| using namespace std; | |
| constexpr long long P = 998244353; | |
| int d; | |
| int g1[30]; // pop-match goto | |
| int gy[30]; // push goto | |
| // dp[i][x] where i in 0..d, x in 0..d | |
| optional<pair<int, long long>> dp[31][31]; | |
| bool vis[31][31]; | |
| bool inf_flag; | |
| pair<int, long long> solve(int i, int x) { | |
| if (dp[i][x]) return dp[i][x].value(); | |
| if (vis[i][x]) { inf_flag = true; return {-1, 0}; } | |
| vis[i][x] = true; | |
| if (i < d) { | |
| if (x == i + 1) { | |
| dp[i][x] = {g1[i], 1LL}; | |
| } else { | |
| auto [j, u] = solve(gy[i], i + 1); | |
| if (inf_flag) return {-1, 0}; | |
| auto [k, v] = solve(j, x); | |
| if (inf_flag) return {-1, 0}; | |
| dp[i][x] = {k, (u + v + 1) % P}; | |
| } | |
| } else { | |
| // HALT | |
| if (x == 0) { | |
| dp[i][x] = {-1, 1LL}; | |
| } else { | |
| auto [j, u] = solve(d, 1); // push 1, goto d (self) | |
| if (inf_flag) return {-1, 0}; | |
| auto [k, v] = solve(j, x); | |
| if (inf_flag) return {-1, 0}; | |
| dp[i][x] = {k, (u + v + 1) % P}; | |
| } | |
| } | |
| return dp[i][x].value(); | |
| } | |
| long long eval() { | |
| for (int i = 0; i <= d; i++) | |
| for (int j = 0; j <= d; j++) { | |
| dp[i][j].reset(); | |
| vis[i][j] = false; | |
| } | |
| inf_flag = false; | |
| auto [fi, steps] = solve(0, 0); | |
| if (inf_flag) return -1; | |
| return steps; | |
| } | |
| int main(int argc, char* argv[]) { | |
| d = argc > 1 ? atoi(argv[1]) : 26; | |
| long long target1 = 150994941; | |
| long long target2 = 150994939; | |
| mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); | |
| auto startTime = chrono::steady_clock::now(); | |
| auto elapsed_ms = [&]() { | |
| return chrono::duration_cast<chrono::milliseconds>(chrono::steady_clock::now() - startTime).count(); | |
| }; | |
| bool found = false; | |
| int restarts = 0; | |
| fprintf(stderr, "Starting search d=%d...\n", d); | |
| while (elapsed_ms() < 120000 && !found) { | |
| restarts++; | |
| // Initialize: standard g1, random gy | |
| for (int j = 0; j < d; j++) { | |
| g1[j] = j + 1; // standard | |
| gy[j] = rng() % (j + 1); | |
| } | |
| long long T = eval(); | |
| if (T < 0) continue; | |
| for (int iter = 0; iter < 500000 && !found; iter++) { | |
| if (T == target1 || T == target2) { | |
| found = true; | |
| fprintf(stderr, "FOUND! d=%d T=%lld\n", d, T); | |
| fprintf(stderr, "g1:"); | |
| for (int j = 0; j < d; j++) fprintf(stderr, " %d", g1[j]); | |
| fprintf(stderr, "\ngy:"); | |
| for (int j = 0; j < d; j++) fprintf(stderr, " %d", gy[j]); | |
| fprintf(stderr, "\n"); | |
| // Output program | |
| int n = d + 1; | |
| printf("%d\n", n); | |
| for (int j = 0; j < d; j++) { | |
| printf("POP %d GOTO %d PUSH %d GOTO %d\n", | |
| j+1, g1[j]+1, j+1, gy[j]+1); | |
| } | |
| printf("HALT PUSH 1 GOTO %d\n", n); | |
| break; | |
| } | |
| // Mutate | |
| int what = rng() % 3; | |
| int j = rng() % d; | |
| int sv_g1 = g1[j], sv_gy = gy[j]; | |
| if (what == 0) { | |
| gy[j] = rng() % (j + 1); | |
| } else if (what == 1) { | |
| g1[j] = rng() % (d + 1); // allow goto any instr 0..d | |
| } else { | |
| gy[j] = rng() % (j + 1); | |
| g1[j] = rng() % (d + 1); | |
| } | |
| long long nT = eval(); | |
| if (nT < 0) { | |
| g1[j] = sv_g1; gy[j] = sv_gy; | |
| continue; | |
| } | |
| long long nd1 = min((nT - target1 + P) % P, (target1 - nT + P) % P); | |
| long long nd2 = min((nT - target2 + P) % P, (target2 - nT + P) % P); | |
| long long od1 = min((T - target1 + P) % P, (target1 - T + P) % P); | |
| long long od2 = min((T - target2 + P) % P, (target2 - T + P) % P); | |
| long long best_nd = min(nd1, nd2); | |
| long long best_od = min(od1, od2); | |
| if (best_nd <= best_od) T = nT; | |
| else { g1[j] = sv_g1; gy[j] = sv_gy; } | |
| } | |
| if (restarts % 50 == 0) { | |
| fprintf(stderr, "d=%d restart=%d elapsed=%ldms\n", d, restarts, elapsed_ms()); | |
| } | |
| } | |
| if (!found) { | |
| fprintf(stderr, "NOT FOUND d=%d after %d restarts in %ldms\n", d, restarts, elapsed_ms()); | |
| } | |
| return 0; | |
| } | |