Problem 649
Low-Prime Chessboard Nim: M(10000019, 100) last 9 digits. Grundy numbers for subtraction game {2,3,5,7}, XOR convolution power.
View problem on Project Euler
Performance comparison
| Metric | Our solution | Best known |
|---|
| Time complexity | O(n^2) | O(n) |
|---|
| Space complexity | O(1) | O(n) |
|---|
| Approach | Flow solution | Big-integer arithmetic |
|---|
| Verdict | Suboptimal |
|---|
Flow source
# Project Euler 649
# Low-Prime Chessboard Nim: M(10000019, 100) last 9 digits.
# Grundy numbers for subtraction game {2,3,5,7}, XOR convolution power.
extern {
function calloc(n: i64, size: i64) -> ptr<void>
function free(p: ptr<void>) -> void
}
const MOD: i64 = 1000000000
# mex lookup for 5 values (0..4)
function mex5(mask: i64) -> i64 {
let mut m: i64 = 0
while (mask >> m) & 1 == 1 { m = m + 1 }
return m
}
# Grundy frequencies for 1D subtraction game with moves {2,3,5,7}
function heap_grundy_freq(n: i64, freq: ptr<i64>) -> void {
for i in 0..5 { freq[i] = 0 }
if n <= 0 { return }
let ring: ptr<i64> = calloc(8, 8)
# Handle t=0..6 with boundary checks
let limit: i64 = n
if limit > 7 { limit = 7 }
for t in 0..limit {
let mut mask: i64 = 0
if t >= 2 { mask = mask | (1 << ring[(t - 2) & 7]) }
if t >= 3 { mask = mask | (1 << ring[(t - 3) & 7]) }
if t >= 5 { mask = mask | (1 << ring[(t - 5) & 7]) }
if t >= 7 { mask = mask | (1 << ring[(t - 7) & 7]) }
let g: i64 = mex5(mask)
ring[t & 7] = g
freq[g] = freq[g] + 1
}
# From t>=7 all four moves available
for t in 7..n {
let mask: i64 = (1 << ring[(t - 2) & 7]) | (1 << ring[(t - 3) & 7]) | (1 << ring[(t - 5) & 7]) | (1 << ring[(t - 7) & 7])
let g: i64 = mex5(mask)
ring[t & 7] = g
freq[g] = freq[g] + 1
}
free(ring)
}
# XOR convolution of length-8 vectors
function xor_conv(u: ptr<i64>, v: ptr<i64>, w: ptr<i64>, mod: i64) -> void {
for i in 0..8 { w[i] = 0 }
for i in 0..8 {
if u[i] == 0 { continue }
for j in 0..8 {
if v[j] == 0 { continue }
let idx: i64 = i ^ j
w[idx] = (w[idx] + u[i] * v[j]) % mod
}
}
}
# XOR convolution power: base^exp
function xor_power(base: ptr<i64>, exp0: i64, res: ptr<i64>, mod: i64) -> void {
let tmp: ptr<i64> = calloc(8, 8)
let b: ptr<i64> = calloc(8, 8)
for i in 0..8 { b[i] = base[i] }
for i in 0..8 { res[i] = 0 }
res[0] = 1
let mut e: i64 = exp0
while e > 0 {
if (e & 1) == 1 {
xor_conv(res, b, tmp, mod)
for i in 0..8 { res[i] = tmp[i] }
}
xor_conv(b, b, tmp, mod)
for i in 0..8 { b[i] = tmp[i] }
e = e / 2
}
free(b)
free(tmp)
}
function mod_pow(base0: i64, exp0: i64, mod: i64) -> i64 {
let mut r: i64 = 1
let mut b: i64 = base0 % mod
let mut e: i64 = exp0
while e > 0 {
if (e & 1) == 1 {
let t: i128 = (r as i128) * (b as i128) % (mod as i128)
r = t as i64
}
let t2: i128 = (b as i128) * (b as i128) % (mod as i128)
b = t2 as i64
e = e / 2
}
return r
}
function main() -> i32 {
let n: i64 = 10000019
let c: i64 = 100
# Grundy frequencies for 1D game
let freq: ptr<i64> = calloc(5, 8)
heap_grundy_freq(n, freq)
# Board nimber counts: a[k] = #{(x,y) : g(x) XOR g(y) = k}
let a: ptr<i64> = calloc(8, 8)
for i in 0..5 {
if freq[i] == 0 { continue }
for j in 0..5 {
if freq[j] == 0 { continue }
a[i ^ j] = a[i ^ j] + freq[i] * freq[j]
}
}
# Reduce mod
let a_mod: ptr<i64> = calloc(8, 8)
for i in 0..8 { a_mod[i] = a[i] % MOD }
# XOR power: distribution of XOR of c coins
let dist: ptr<i64> = calloc(8, 8)
xor_power(a_mod, c, dist, MOD)
let losing: i64 = dist[0]
let total: i64 = mod_pow((n * n) % MOD, c, MOD)
let ans: i64 = (total - losing % MOD + MOD) % MOD
printf("%09lld\n", ans)
free(dist)
free(a_mod)
free(a)
free(freq)
return 0
}
Generated C
#include <stdint.h>
#include <stdbool.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
/* Flow runtime helpers */
typedef struct flow_temp_node { struct flow_temp_node* next; } flow_temp_node;
static flow_temp_node* flow_temp_head = NULL;
static int flow_temp_atexit_set = 0;
__attribute__((unused)) static void flow_temp_free_all(void) {
while (flow_temp_head) {
flow_temp_node* n = flow_temp_head;
flow_temp_head = n->next;
free(n);
}
}
__attribute__((unused)) static void* flow_temp_alloc(size_t nbytes) {
flow_temp_node* node = (flow_temp_node*)malloc(sizeof(flow_temp_node) + nbytes);
if (!node) return NULL;
node->next = flow_temp_head;
flow_temp_head = node;
if (!flow_temp_atexit_set) {
flow_temp_atexit_set = 1;
atexit(flow_temp_free_all);
}
return (void*)(node + 1);
}
#ifndef FLOW_DIAG
#define FLOW_DIAG(msg) fprintf(stderr, "%s", (msg))
#endif
#ifndef FLOW_LOG
#define FLOW_LOG(fmt, ...) printf(fmt, __VA_ARGS__)
#endif
#ifndef FLOW_LOG_EMPTY
#define FLOW_LOG_EMPTY(fmt) printf(fmt)
#endif
static char* flow_strcat(const char* a, const char* b) {
size_t la = strlen(a ? a : ""), lb = strlen(b ? b : "");
char* r = (char*)flow_temp_alloc(la + lb + 1);
if (!r) return NULL;
if (la) memcpy(r, a, la);
if (lb) memcpy(r + la, b, lb);
r[la + lb] = '\0';
return r;
}
#define __flow_in_arr(arr, val) __extension__ ({ \
int _found = 0; \
size_t _n = sizeof(arr)/sizeof((arr)[0]); \
for (size_t _i = 0; _i < _n; _i++) { \
if ((arr)[_i] == (val)) { _found = 1; break; } \
} _found; })
/* Unified fault handler (MISRA #279) — override with -DFLOW_FAULT_HANDLER=fn */
#ifndef FLOW_FAULT_HANDLER
__attribute__((unused)) static inline void flow_fault_handler(const char* msg) {
fprintf(stderr, "flow: %s\n", msg ? msg : "fault");
abort();
#if defined(__GNUC__) || defined(__clang__)
__builtin_unreachable();
#endif
}
#else
#define flow_fault_handler FLOW_FAULT_HANDLER
#endif
#define flow_div_by_zero_handler() flow_fault_handler("division by zero")
#define flow_shift_ub_handler() flow_fault_handler("invalid shift (amount out of range or left-shift of negative)")
#ifndef FLOW_CHECKED_DIV
#define FLOW_CHECKED_DIV(L, R) (((R) != 0) ? ((L) / (R)) : (flow_div_by_zero_handler(), (L) * 0))
#endif
#ifndef FLOW_CHECKED_MOD
#define FLOW_CHECKED_MOD(L, R) (((R) != 0) ? ((L) % (R)) : (flow_div_by_zero_handler(), (L) * 0))
#endif
#ifndef FLOW_CHECKED_SHL
#define FLOW_CHECKED_SHL(L, R) ((((R) >= 0) && ((unsigned long long)(R) < (sizeof(L) * 8ull)) && ((L) >= 0)) ? ((L) << (R)) : (flow_shift_ub_handler(), (L) * 0))
#endif
#ifndef FLOW_CHECKED_SHR
#define FLOW_CHECKED_SHR(L, R) ((((R) >= 0) && ((unsigned long long)(R) < (sizeof(L) * 8ull))) ? ((L) >> (R)) : (flow_shift_ub_handler(), (L) * 0))
#endif
#include <math.h>
void* _ui_state = NULL;
static inline float i32_to_f32(int32_t v) { return (float)v; }
/* Host stub for @gpu kernels (device codegen replaces this). */
static inline int32_t gpu_thread_id(void) { return 0; }
int64_t mex5_i64(int64_t mask);
void heap_grundy_freq_i64_ptr_i64(int64_t n, int64_t* freq);
void xor_conv_ptr_i64_ptr_i64_ptr_i64_i64(int64_t* u, int64_t* v, int64_t* w, int64_t mod);
void xor_power_ptr_i64_i64_ptr_i64_i64(int64_t* base, int64_t exp0, int64_t* res, int64_t mod);
int64_t mod_pow_i64_i64_i64(int64_t base0, int64_t exp0, int64_t mod);
int32_t main(void);
static const int64_t MOD = 1000000000;
int64_t mex5_i64(int64_t mask) {
int64_t m = 0;
while ((FLOW_CHECKED_SHR((mask), (m)) & 1 == 1)) {
m = (m + 1);
}
return m;
}
void heap_grundy_freq_i64_ptr_i64(int64_t n, int64_t* freq) {
int32_t __flow_step_1 = 1;
for (int32_t i = 0; (0 <= 5) ? i < 5 : i > 5; i += (0 <= 5) ? 1 : -1) {
freq[i] = 0;
}
if (n <= 0) {
return;
}
int64_t* ring = (int64_t*)(calloc(8, 8));
int64_t limit = n;
if (limit > 7) {
limit = 7;
}
int32_t __flow_step_2 = 1;
for (int32_t t = 0; (0 <= limit) ? t < limit : t > limit; t += (0 <= limit) ? 1 : -1) {
int64_t mask = 0;
if (t >= 2) {
mask = (mask | FLOW_CHECKED_SHL((1), (ring[((t - 2) & 7)])));
}
if (t >= 3) {
mask = (mask | FLOW_CHECKED_SHL((1), (ring[((t - 3) & 7)])));
}
if (t >= 5) {
mask = (mask | FLOW_CHECKED_SHL((1), (ring[((t - 5) & 7)])));
}
if (t >= 7) {
mask = (mask | FLOW_CHECKED_SHL((1), (ring[((t - 7) & 7)])));
}
int64_t g = mex5_i64(mask);
ring[(t & 7)] = g;
freq[g] = (freq[g] + 1);
}
int32_t __flow_step_3 = 1;
for (int32_t t = 7; (7 <= n) ? t < n : t > n; t += (7 <= n) ? 1 : -1) {
int64_t mask = (((FLOW_CHECKED_SHL((1), (ring[((t - 2) & 7)])) | FLOW_CHECKED_SHL((1), (ring[((t - 3) & 7)]))) | FLOW_CHECKED_SHL((1), (ring[((t - 5) & 7)]))) | FLOW_CHECKED_SHL((1), (ring[((t - 7) & 7)])));
int64_t g = mex5_i64(mask);
ring[(t & 7)] = g;
freq[g] = (freq[g] + 1);
}
free(ring);
}
void xor_conv_ptr_i64_ptr_i64_ptr_i64_i64(int64_t* u, int64_t* v, int64_t* w, int64_t mod) {
int32_t __flow_step_4 = 1;
for (int32_t i = 0; (0 <= 8) ? i < 8 : i > 8; i += (0 <= 8) ? 1 : -1) {
w[i] = 0;
}
int32_t __flow_step_5 = 1;
for (int32_t i = 0; (0 <= 8) ? i < 8 : i > 8; i += (0 <= 8) ? 1 : -1) {
if (u[i] == 0) {
continue;
}
int32_t __flow_step_6 = 1;
for (int32_t j = 0; (0 <= 8) ? j < 8 : j > 8; j += (0 <= 8) ? 1 : -1) {
if (v[j] == 0) {
continue;
}
int64_t idx = (i ^ j);
w[idx] = FLOW_CHECKED_MOD(((w[idx] + (u[i] * v[j]))), (mod));
}
}
}
void xor_power_ptr_i64_i64_ptr_i64_i64(int64_t* base, int64_t exp0, int64_t* res, int64_t mod) {
int64_t* tmp = (int64_t*)(calloc(8, 8));
int64_t* b = (int64_t*)(calloc(8, 8));
int32_t __flow_step_7 = 1;
for (int32_t i = 0; (0 <= 8) ? i < 8 : i > 8; i += (0 <= 8) ? 1 : -1) {
b[i] = base[i];
}
int32_t __flow_step_8 = 1;
for (int32_t i = 0; (0 <= 8) ? i < 8 : i > 8; i += (0 <= 8) ? 1 : -1) {
res[i] = 0;
}
res[0] = 1;
int64_t e = exp0;
while (e > 0) {
if ((e & 1) == 1) {
xor_conv_ptr_i64_ptr_i64_ptr_i64_i64(res, b, tmp, mod);
int32_t __flow_step_9 = 1;
for (int32_t i = 0; (0 <= 8) ? i < 8 : i > 8; i += (0 <= 8) ? 1 : -1) {
res[i] = tmp[i];
}
}
xor_conv_ptr_i64_ptr_i64_ptr_i64_i64(b, b, tmp, mod);
int32_t __flow_step_10 = 1;
for (int32_t i = 0; (0 <= 8) ? i < 8 : i > 8; i += (0 <= 8) ? 1 : -1) {
b[i] = tmp[i];
}
e = FLOW_CHECKED_DIV((e), (2));
}
free(b);
free(tmp);
}
int64_t mod_pow_i64_i64_i64(int64_t base0, int64_t exp0, int64_t mod) {
int64_t r = 1;
int64_t b = FLOW_CHECKED_MOD((base0), (mod));
int64_t e = exp0;
while (e > 0) {
if ((e & 1) == 1) {
__int128 t = FLOW_CHECKED_MOD(((((__int128)(r)) * ((__int128)(b)))), (((__int128)(mod))));
r = ((int64_t)(t));
}
__int128 t2 = FLOW_CHECKED_MOD(((((__int128)(b)) * ((__int128)(b)))), (((__int128)(mod))));
b = ((int64_t)(t2));
e = FLOW_CHECKED_DIV((e), (2));
}
return r;
}
int32_t main(void) {
int64_t n = 10000019;
int64_t c = 100;
int64_t* freq = (int64_t*)(calloc(5, 8));
heap_grundy_freq_i64_ptr_i64(n, freq);
int64_t* a = (int64_t*)(calloc(8, 8));
int32_t __flow_step_11 = 1;
for (int32_t i = 0; (0 <= 5) ? i < 5 : i > 5; i += (0 <= 5) ? 1 : -1) {
if (freq[i] == 0) {
continue;
}
int32_t __flow_step_12 = 1;
for (int32_t j = 0; (0 <= 5) ? j < 5 : j > 5; j += (0 <= 5) ? 1 : -1) {
if (freq[j] == 0) {
continue;
}
a[(i ^ j)] = (a[(i ^ j)] + (freq[i] * freq[j]));
}
}
int64_t* a_mod = (int64_t*)(calloc(8, 8));
int32_t __flow_step_13 = 1;
for (int32_t i = 0; (0 <= 8) ? i < 8 : i > 8; i += (0 <= 8) ? 1 : -1) {
a_mod[i] = FLOW_CHECKED_MOD((a[i]), (MOD));
}
int64_t* dist = (int64_t*)(calloc(8, 8));
xor_power_ptr_i64_i64_ptr_i64_i64(a_mod, c, dist, MOD);
int64_t losing = dist[0];
int64_t total = mod_pow_i64_i64_i64(FLOW_CHECKED_MOD(((n * n)), (MOD)), c, MOD);
int64_t ans = FLOW_CHECKED_MOD((((total - FLOW_CHECKED_MOD((losing), (MOD))) + MOD)), (MOD));
printf("%09lld\n", ans);
free(dist);
free(a_mod);
free(a);
free(freq);
return 0;
}
Generated MLIR
module {
llvm.func @printf(!llvm.ptr, ...) -> i32
llvm.mlir.global internal constant @str_0("%09lld\n\00") {addr_space = 0 : i32} : !llvm.array<8 x i8>
func.func private @calloc(i64, i64) -> !llvm.ptr
func.func private @free(!llvm.ptr) -> ()
// Constant: MOD
llvm.mlir.global internal constant @MOD(1000000000 : i64) : i64
func.func @mex5(%arg0: i64) -> i64 {
%0 = arith.constant 0 : i32
%1 = arith.extsi %0 : i32 to i64
%2 = llvm.mlir.constant(1 : i64) : i64
%3 = llvm.alloca %2 x i64 : (i64) -> !llvm.ptr
llvm.store %1, %3 : i64, !llvm.ptr
cf.br ^bb0
^bb0:
%4 = llvm.load %3 : !llvm.ptr -> i64
%5 = arith.shrsi %arg0, %4 : i64
%6 = arith.constant 1 : i32
%7 = arith.constant 1 : i32
%8 = arith.cmpi eq, %6, %7 : i32
%10 = arith.trunci %5 : i64 to i1
%9 = arith.andi %10, %8 : i1
cf.cond_br %9, ^bb1, ^bb2
^bb1:
%11 = llvm.load %3 : !llvm.ptr -> i64
%12 = arith.constant 1 : i32
%14 = arith.extsi %12 : i32 to i64
%13 = arith.addi %11, %14 : i64
llvm.store %13, %3 : i64, !llvm.ptr
cf.br ^bb0
^bb2:
%15 = llvm.load %3 : !llvm.ptr -> i64
func.return %15 : i64
}
func.func @heap_grundy_freq(%arg0: i64, %arg1: !llvm.ptr) -> () {
%16 = arith.constant 0 : i32
%17 = arith.constant 5 : i32
%18 = arith.index_cast %16 : i32 to index
%19 = arith.index_cast %17 : i32 to index
%21 = arith.constant 1 : index
%22 = arith.constant -1 : index
%23 = arith.cmpi sle, %18, %19 : index
%20 = arith.select %23, %21, %22 : index
cf.br ^bb3(%18 : index)
^bb3(%24: index):
%25 = arith.cmpi slt, %24, %19 : index
%26 = arith.cmpi sgt, %24, %19 : index
%27 = arith.select %23, %25, %26 : i1
cf.cond_br %27, ^bb4(%24 : index), ^bb5(%24 : index)
^bb4(%28: index):
%29 = arith.constant 0 : i32
%30 = arith.extsi %29 : i32 to i64
%31 = arith.index_cast %28 : index to i64
%32 = llvm.getelementptr %arg1[%31] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %30, %32 : i64, !llvm.ptr
%33 = arith.addi %28, %20 : index
cf.br ^bb3(%33 : index)
^bb5(%34: index):
%35 = arith.constant 0 : i32
%37 = arith.extsi %35 : i32 to i64
%36 = arith.cmpi sle, %arg0, %37 : i64
cf.cond_br %36, ^bb6, ^bb7
^bb6:
func.return
^bb7:
cf.br ^bb8
^bb8:
%39 = arith.constant 8 : i32
%40 = arith.constant 8 : i32
%41 = arith.extsi %39 : i32 to i64
%42 = arith.extsi %40 : i32 to i64
%38 = func.call @calloc(%41, %42) : (i64, i64) -> !llvm.ptr
%43 = arith.constant 7 : i32
%45 = arith.extsi %43 : i32 to i64
%44 = arith.cmpi sgt, %arg0, %45 : i64
%46 = scf.if %44 -> (i64) {
%47 = arith.constant 7 : i32
%48 = arith.extsi %47 : i32 to i64
scf.yield %48 : i64
} else {
scf.yield %arg0 : i64
}
%49 = arith.constant 0 : i32
%50 = arith.index_cast %49 : i32 to index
%51 = arith.index_cast %46 : i32 to index
%53 = arith.constant 1 : index
%54 = arith.constant -1 : index
%55 = arith.cmpi sle, %50, %51 : index
%52 = arith.select %55, %53, %54 : index
cf.br ^bb9(%50 : index)
^bb9(%56: index):
%57 = arith.cmpi slt, %56, %51 : index
%58 = arith.cmpi sgt, %56, %51 : index
%59 = arith.select %55, %57, %58 : i1
cf.cond_br %59, ^bb10(%56 : index), ^bb11(%56 : index)
^bb10(%60: index):
%61 = arith.constant 0 : i32
%62 = arith.extsi %61 : i32 to i64
%63 = llvm.mlir.constant(1 : i64) : i64
%64 = llvm.alloca %63 x i64 : (i64) -> !llvm.ptr
llvm.store %62, %64 : i64, !llvm.ptr
%65 = arith.constant 2 : i32
%67 = arith.index_cast %60 : index to i32
%66 = arith.cmpi sge, %67, %65 : i32
cf.cond_br %66, ^bb12, ^bb13
^bb12:
%68 = llvm.load %64 : !llvm.ptr -> i64
%69 = arith.constant 1 : i32
%71 = arith.constant 2 : i32
%73 = arith.index_cast %60 : index to i32
%72 = arith.subi %73, %71 : i32
%74 = arith.constant 7 : i32
%75 = arith.andi %72, %74 : i32
%76 = arith.extsi %75 : i32 to i64
%77 = llvm.getelementptr %38[%76] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%70 = llvm.load %77 : !llvm.ptr -> i64
%79 = arith.extsi %69 : i32 to i64
%78 = arith.shli %79, %70 : i64
%80 = arith.ori %68, %78 : i64
llvm.store %80, %64 : i64, !llvm.ptr
cf.br ^bb14
^bb13:
cf.br ^bb14
^bb14:
%81 = arith.constant 3 : i32
%83 = arith.index_cast %60 : index to i32
%82 = arith.cmpi sge, %83, %81 : i32
cf.cond_br %82, ^bb15, ^bb16
^bb15:
%84 = llvm.load %64 : !llvm.ptr -> i64
%85 = arith.constant 1 : i32
%87 = arith.constant 3 : i32
%89 = arith.index_cast %60 : index to i32
%88 = arith.subi %89, %87 : i32
%90 = arith.constant 7 : i32
%91 = arith.andi %88, %90 : i32
%92 = arith.extsi %91 : i32 to i64
%93 = llvm.getelementptr %38[%92] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%86 = llvm.load %93 : !llvm.ptr -> i64
%95 = arith.extsi %85 : i32 to i64
%94 = arith.shli %95, %86 : i64
%96 = arith.ori %84, %94 : i64
llvm.store %96, %64 : i64, !llvm.ptr
cf.br ^bb17
^bb16:
cf.br ^bb17
^bb17:
%97 = arith.constant 5 : i32
%99 = arith.index_cast %60 : index to i32
%98 = arith.cmpi sge, %99, %97 : i32
cf.cond_br %98, ^bb18, ^bb19
^bb18:
%100 = llvm.load %64 : !llvm.ptr -> i64
%101 = arith.constant 1 : i32
%103 = arith.constant 5 : i32
%105 = arith.index_cast %60 : index to i32
%104 = arith.subi %105, %103 : i32
%106 = arith.constant 7 : i32
%107 = arith.andi %104, %106 : i32
%108 = arith.extsi %107 : i32 to i64
%109 = llvm.getelementptr %38[%108] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%102 = llvm.load %109 : !llvm.ptr -> i64
%111 = arith.extsi %101 : i32 to i64
%110 = arith.shli %111, %102 : i64
%112 = arith.ori %100, %110 : i64
llvm.store %112, %64 : i64, !llvm.ptr
cf.br ^bb20
^bb19:
cf.br ^bb20
^bb20:
%113 = arith.constant 7 : i32
%115 = arith.index_cast %60 : index to i32
%114 = arith.cmpi sge, %115, %113 : i32
cf.cond_br %114, ^bb21, ^bb22
^bb21:
%116 = llvm.load %64 : !llvm.ptr -> i64
%117 = arith.constant 1 : i32
%119 = arith.constant 7 : i32
%121 = arith.index_cast %60 : index to i32
%120 = arith.subi %121, %119 : i32
%122 = arith.constant 7 : i32
%123 = arith.andi %120, %122 : i32
%124 = arith.extsi %123 : i32 to i64
%125 = llvm.getelementptr %38[%124] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%118 = llvm.load %125 : !llvm.ptr -> i64
%127 = arith.extsi %117 : i32 to i64
%126 = arith.shli %127, %118 : i64
%128 = arith.ori %116, %126 : i64
llvm.store %128, %64 : i64, !llvm.ptr
cf.br ^bb23
^bb22:
cf.br ^bb23
^bb23:
%130 = llvm.load %64 : !llvm.ptr -> i64
%129 = func.call @mex5(%130) : (i64) -> i64
%131 = arith.constant 7 : i32
%133 = arith.index_cast %60 : index to i32
%132 = arith.andi %133, %131 : i32
%134 = arith.extsi %132 : i32 to i64
%135 = llvm.getelementptr %38[%134] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %129, %135 : i64, !llvm.ptr
%137 = llvm.getelementptr %arg1[%129] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%136 = llvm.load %137 : !llvm.ptr -> i64
%138 = arith.constant 1 : i32
%140 = arith.extsi %138 : i32 to i64
%139 = arith.addi %136, %140 : i64
%141 = llvm.getelementptr %arg1[%129] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %139, %141 : i64, !llvm.ptr
%142 = arith.addi %60, %52 : index
cf.br ^bb9(%142 : index)
^bb11(%143: index):
%144 = arith.constant 7 : i32
%145 = arith.index_cast %144 : i32 to index
%146 = arith.index_cast %arg0 : i32 to index
%148 = arith.constant 1 : index
%149 = arith.constant -1 : index
%150 = arith.cmpi sle, %145, %146 : index
%147 = arith.select %150, %148, %149 : index
cf.br ^bb24(%145 : index)
^bb24(%151: index):
%152 = arith.cmpi slt, %151, %146 : index
%153 = arith.cmpi sgt, %151, %146 : index
%154 = arith.select %150, %152, %153 : i1
cf.cond_br %154, ^bb25(%151 : index), ^bb26(%151 : index)
^bb25(%155: index):
%156 = arith.constant 1 : i32
%158 = arith.constant 2 : i32
%160 = arith.index_cast %155 : index to i32
%159 = arith.subi %160, %158 : i32
%161 = arith.constant 7 : i32
%162 = arith.andi %159, %161 : i32
%163 = arith.extsi %162 : i32 to i64
%164 = llvm.getelementptr %38[%163] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%157 = llvm.load %164 : !llvm.ptr -> i64
%166 = arith.extsi %156 : i32 to i64
%165 = arith.shli %166, %157 : i64
%167 = arith.constant 1 : i32
%169 = arith.constant 3 : i32
%171 = arith.index_cast %155 : index to i32
%170 = arith.subi %171, %169 : i32
%172 = arith.constant 7 : i32
%173 = arith.andi %170, %172 : i32
%174 = arith.extsi %173 : i32 to i64
%175 = llvm.getelementptr %38[%174] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%168 = llvm.load %175 : !llvm.ptr -> i64
%177 = arith.extsi %167 : i32 to i64
%176 = arith.shli %177, %168 : i64
%178 = arith.ori %165, %176 : i64
%179 = arith.constant 1 : i32
%181 = arith.constant 5 : i32
%183 = arith.index_cast %155 : index to i32
%182 = arith.subi %183, %181 : i32
%184 = arith.constant 7 : i32
%185 = arith.andi %182, %184 : i32
%186 = arith.extsi %185 : i32 to i64
%187 = llvm.getelementptr %38[%186] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%180 = llvm.load %187 : !llvm.ptr -> i64
%189 = arith.extsi %179 : i32 to i64
%188 = arith.shli %189, %180 : i64
%190 = arith.ori %178, %188 : i64
%191 = arith.constant 1 : i32
%193 = arith.constant 7 : i32
%195 = arith.index_cast %155 : index to i32
%194 = arith.subi %195, %193 : i32
%196 = arith.constant 7 : i32
%197 = arith.andi %194, %196 : i32
%198 = arith.extsi %197 : i32 to i64
%199 = llvm.getelementptr %38[%198] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%192 = llvm.load %199 : !llvm.ptr -> i64
%201 = arith.extsi %191 : i32 to i64
%200 = arith.shli %201, %192 : i64
%202 = arith.ori %190, %200 : i64
%203 = func.call @mex5(%202) : (i64) -> i64
%204 = arith.constant 7 : i32
%206 = arith.index_cast %155 : index to i32
%205 = arith.andi %206, %204 : i32
%207 = arith.extsi %205 : i32 to i64
%208 = llvm.getelementptr %38[%207] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %203, %208 : i64, !llvm.ptr
%210 = llvm.getelementptr %arg1[%203] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%209 = llvm.load %210 : !llvm.ptr -> i64
%211 = arith.constant 1 : i32
%213 = arith.extsi %211 : i32 to i64
%212 = arith.addi %209, %213 : i64
%214 = llvm.getelementptr %arg1[%203] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %212, %214 : i64, !llvm.ptr
%215 = arith.addi %155, %147 : index
cf.br ^bb24(%215 : index)
^bb26(%216: index):
func.call @free(%38) : (!llvm.ptr) -> ()
func.return
}
func.func @xor_conv(%arg0: !llvm.ptr, %arg1: !llvm.ptr, %arg2: !llvm.ptr, %arg3: i64) -> () {
%218 = arith.constant 0 : i32
%219 = arith.constant 8 : i32
%220 = arith.index_cast %218 : i32 to index
%221 = arith.index_cast %219 : i32 to index
%223 = arith.constant 1 : index
%224 = arith.constant -1 : index
%225 = arith.cmpi sle, %220, %221 : index
%222 = arith.select %225, %223, %224 : index
cf.br ^bb27(%220 : index)
^bb27(%226: index):
%227 = arith.cmpi slt, %226, %221 : index
%228 = arith.cmpi sgt, %226, %221 : index
%229 = arith.select %225, %227, %228 : i1
cf.cond_br %229, ^bb28(%226 : index), ^bb29(%226 : index)
^bb28(%230: index):
%231 = arith.constant 0 : i32
%232 = arith.extsi %231 : i32 to i64
%233 = arith.index_cast %230 : index to i64
%234 = llvm.getelementptr %arg2[%233] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %232, %234 : i64, !llvm.ptr
%235 = arith.addi %230, %222 : index
cf.br ^bb27(%235 : index)
^bb29(%236: index):
%237 = arith.constant 0 : i32
%238 = arith.constant 8 : i32
%239 = arith.index_cast %237 : i32 to index
%240 = arith.index_cast %238 : i32 to index
%242 = arith.constant 1 : index
%243 = arith.constant -1 : index
%244 = arith.cmpi sle, %239, %240 : index
%241 = arith.select %244, %242, %243 : index
cf.br ^bb30(%239 : index)
^bb30(%245: index):
%246 = arith.cmpi slt, %245, %240 : index
%247 = arith.cmpi sgt, %245, %240 : index
%248 = arith.select %244, %246, %247 : i1
cf.cond_br %248, ^bb31(%245 : index), ^bb32(%245 : index)
^bb31(%249: index):
%251 = arith.index_cast %249 : index to i64
%252 = llvm.getelementptr %arg0[%251] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%250 = llvm.load %252 : !llvm.ptr -> i64
%253 = arith.constant 0 : i32
%255 = arith.extsi %253 : i32 to i64
%254 = arith.cmpi eq, %250, %255 : i64
cf.cond_br %254, ^bb33, ^bb34
^bb33:
%256 = arith.addi %249, %241 : index
cf.br ^bb30(%256 : index)
^bb34:
cf.br ^bb35
^bb35:
%257 = arith.constant 0 : i32
%258 = arith.constant 8 : i32
%259 = arith.index_cast %257 : i32 to index
%260 = arith.index_cast %258 : i32 to index
%262 = arith.constant 1 : index
%263 = arith.constant -1 : index
%264 = arith.cmpi sle, %259, %260 : index
%261 = arith.select %264, %262, %263 : index
cf.br ^bb36(%259 : index)
^bb36(%265: index):
%266 = arith.cmpi slt, %265, %260 : index
%267 = arith.cmpi sgt, %265, %260 : index
%268 = arith.select %264, %266, %267 : i1
cf.cond_br %268, ^bb37(%265 : index), ^bb38(%265 : index)
^bb37(%269: index):
%271 = arith.index_cast %269 : index to i64
%272 = llvm.getelementptr %arg1[%271] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%270 = llvm.load %272 : !llvm.ptr -> i64
%273 = arith.constant 0 : i32
%275 = arith.extsi %273 : i32 to i64
%274 = arith.cmpi eq, %270, %275 : i64
cf.cond_br %274, ^bb39, ^bb40
^bb39:
%276 = arith.addi %269, %261 : index
cf.br ^bb36(%276 : index)
^bb40:
cf.br ^bb41
^bb41:
%277 = arith.xori %249, %269 : index
%278 = arith.index_cast %277 : index to i64
%280 = llvm.getelementptr %arg2[%278] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%279 = llvm.load %280 : !llvm.ptr -> i64
%282 = arith.index_cast %249 : index to i64
%283 = llvm.getelementptr %arg0[%282] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%281 = llvm.load %283 : !llvm.ptr -> i64
%285 = arith.index_cast %269 : index to i64
%286 = llvm.getelementptr %arg1[%285] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%284 = llvm.load %286 : !llvm.ptr -> i64
%287 = arith.muli %281, %284 : i64
%288 = arith.addi %279, %287 : i64
%289 = arith.remsi %288, %arg3 : i64
%290 = llvm.getelementptr %arg2[%278] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %289, %290 : i64, !llvm.ptr
%291 = arith.addi %269, %261 : index
cf.br ^bb36(%291 : index)
^bb38(%292: index):
%293 = arith.addi %249, %241 : index
cf.br ^bb30(%293 : index)
^bb32(%294: index):
func.return
}
func.func @xor_power(%arg0: !llvm.ptr, %arg1: i64, %arg2: !llvm.ptr, %arg3: i64) -> () {
%296 = arith.constant 8 : i32
%297 = arith.constant 8 : i32
%298 = arith.extsi %296 : i32 to i64
%299 = arith.extsi %297 : i32 to i64
%295 = func.call @calloc(%298, %299) : (i64, i64) -> !llvm.ptr
%301 = arith.constant 8 : i32
%302 = arith.constant 8 : i32
%303 = arith.extsi %301 : i32 to i64
%304 = arith.extsi %302 : i32 to i64
%300 = func.call @calloc(%303, %304) : (i64, i64) -> !llvm.ptr
%305 = arith.constant 0 : i32
%306 = arith.constant 8 : i32
%307 = arith.index_cast %305 : i32 to index
%308 = arith.index_cast %306 : i32 to index
%310 = arith.constant 1 : index
%311 = arith.constant -1 : index
%312 = arith.cmpi sle, %307, %308 : index
%309 = arith.select %312, %310, %311 : index
cf.br ^bb42(%307 : index)
^bb42(%313: index):
%314 = arith.cmpi slt, %313, %308 : index
%315 = arith.cmpi sgt, %313, %308 : index
%316 = arith.select %312, %314, %315 : i1
cf.cond_br %316, ^bb43(%313 : index), ^bb44(%313 : index)
^bb43(%317: index):
%319 = arith.index_cast %317 : index to i64
%320 = llvm.getelementptr %arg0[%319] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%318 = llvm.load %320 : !llvm.ptr -> i64
%321 = arith.index_cast %317 : index to i64
%322 = llvm.getelementptr %300[%321] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %318, %322 : i64, !llvm.ptr
%323 = arith.addi %317, %309 : index
cf.br ^bb42(%323 : index)
^bb44(%324: index):
%325 = arith.constant 0 : i32
%326 = arith.constant 8 : i32
%327 = arith.index_cast %325 : i32 to index
%328 = arith.index_cast %326 : i32 to index
%330 = arith.constant 1 : index
%331 = arith.constant -1 : index
%332 = arith.cmpi sle, %327, %328 : index
%329 = arith.select %332, %330, %331 : index
cf.br ^bb45(%327 : index)
^bb45(%333: index):
%334 = arith.cmpi slt, %333, %328 : index
%335 = arith.cmpi sgt, %333, %328 : index
%336 = arith.select %332, %334, %335 : i1
cf.cond_br %336, ^bb46(%333 : index), ^bb47(%333 : index)
^bb46(%337: index):
%338 = arith.constant 0 : i32
%339 = arith.extsi %338 : i32 to i64
%340 = arith.index_cast %337 : index to i64
%341 = llvm.getelementptr %arg2[%340] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %339, %341 : i64, !llvm.ptr
%342 = arith.addi %337, %329 : index
cf.br ^bb45(%342 : index)
^bb47(%343: index):
%344 = arith.constant 1 : i32
%345 = arith.constant 0 : i32
%346 = arith.extsi %344 : i32 to i64
%347 = arith.extsi %345 : i32 to i64
%348 = llvm.getelementptr %arg2[%347] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %346, %348 : i64, !llvm.ptr
%349 = llvm.mlir.constant(1 : i64) : i64
%350 = llvm.alloca %349 x i64 : (i64) -> !llvm.ptr
llvm.store %arg1, %350 : i64, !llvm.ptr
cf.br ^bb48
^bb48:
%351 = llvm.load %350 : !llvm.ptr -> i64
%352 = arith.constant 0 : i32
%354 = arith.extsi %352 : i32 to i64
%353 = arith.cmpi sgt, %351, %354 : i64
cf.cond_br %353, ^bb49, ^bb50
^bb49:
%355 = llvm.load %350 : !llvm.ptr -> i64
%356 = arith.constant 1 : i32
%358 = arith.extsi %356 : i32 to i64
%357 = arith.andi %355, %358 : i64
%359 = arith.constant 1 : i32
%361 = arith.extsi %359 : i32 to i64
%360 = arith.cmpi eq, %357, %361 : i64
cf.cond_br %360, ^bb51, ^bb52
^bb51:
func.call @xor_conv(%arg2, %300, %295, %arg3) : (!llvm.ptr, !llvm.ptr, !llvm.ptr, i64) -> ()
%363 = arith.constant 0 : i32
%364 = arith.constant 8 : i32
%365 = arith.index_cast %363 : i32 to index
%366 = arith.index_cast %364 : i32 to index
%368 = arith.constant 1 : index
%369 = arith.constant -1 : index
%370 = arith.cmpi sle, %365, %366 : index
%367 = arith.select %370, %368, %369 : index
cf.br ^bb54(%365 : index)
^bb54(%371: index):
%372 = arith.cmpi slt, %371, %366 : index
%373 = arith.cmpi sgt, %371, %366 : index
%374 = arith.select %370, %372, %373 : i1
cf.cond_br %374, ^bb55(%371 : index), ^bb56(%371 : index)
^bb55(%375: index):
%377 = arith.index_cast %375 : index to i64
%378 = llvm.getelementptr %295[%377] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%376 = llvm.load %378 : !llvm.ptr -> i64
%379 = arith.index_cast %375 : index to i64
%380 = llvm.getelementptr %arg2[%379] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %376, %380 : i64, !llvm.ptr
%381 = arith.addi %375, %367 : index
cf.br ^bb54(%381 : index)
^bb56(%382: index):
cf.br ^bb53
^bb52:
cf.br ^bb53
^bb53:
func.call @xor_conv(%300, %300, %295, %arg3) : (!llvm.ptr, !llvm.ptr, !llvm.ptr, i64) -> ()
%384 = arith.constant 0 : i32
%385 = arith.constant 8 : i32
%386 = arith.index_cast %384 : i32 to index
%387 = arith.index_cast %385 : i32 to index
%389 = arith.constant 1 : index
%390 = arith.constant -1 : index
%391 = arith.cmpi sle, %386, %387 : index
%388 = arith.select %391, %389, %390 : index
cf.br ^bb57(%386 : index)
^bb57(%392: index):
%393 = arith.cmpi slt, %392, %387 : index
%394 = arith.cmpi sgt, %392, %387 : index
%395 = arith.select %391, %393, %394 : i1
cf.cond_br %395, ^bb58(%392 : index), ^bb59(%392 : index)
^bb58(%396: index):
%398 = arith.index_cast %396 : index to i64
%399 = llvm.getelementptr %295[%398] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%397 = llvm.load %399 : !llvm.ptr -> i64
%400 = arith.index_cast %396 : index to i64
%401 = llvm.getelementptr %300[%400] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %397, %401 : i64, !llvm.ptr
%402 = arith.addi %396, %388 : index
cf.br ^bb57(%402 : index)
^bb59(%403: index):
%404 = llvm.load %350 : !llvm.ptr -> i64
%405 = arith.constant 2 : i32
%407 = arith.extsi %405 : i32 to i64
%406 = arith.divsi %404, %407 : i64
llvm.store %406, %350 : i64, !llvm.ptr
cf.br ^bb48
^bb50:
func.call @free(%300) : (!llvm.ptr) -> ()
func.call @free(%295) : (!llvm.ptr) -> ()
func.return
}
func.func @mod_pow(%arg0: i64, %arg1: i64, %arg2: i64) -> i64 {
%410 = arith.constant 1 : i32
%411 = arith.extsi %410 : i32 to i64
%412 = llvm.mlir.constant(1 : i64) : i64
%413 = llvm.alloca %412 x i64 : (i64) -> !llvm.ptr
llvm.store %411, %413 : i64, !llvm.ptr
%414 = arith.remsi %arg0, %arg2 : i64
%415 = llvm.mlir.constant(1 : i64) : i64
%416 = llvm.alloca %415 x i64 : (i64) -> !llvm.ptr
llvm.store %414, %416 : i64, !llvm.ptr
%417 = llvm.mlir.constant(1 : i64) : i64
%418 = llvm.alloca %417 x i64 : (i64) -> !llvm.ptr
llvm.store %arg1, %418 : i64, !llvm.ptr
cf.br ^bb60
^bb60:
%419 = llvm.load %418 : !llvm.ptr -> i64
%420 = arith.constant 0 : i32
%422 = arith.extsi %420 : i32 to i64
%421 = arith.cmpi sgt, %419, %422 : i64
cf.cond_br %421, ^bb61, ^bb62
^bb61:
%423 = llvm.load %418 : !llvm.ptr -> i64
%424 = arith.constant 1 : i32
%426 = arith.extsi %424 : i32 to i64
%425 = arith.andi %423, %426 : i64
%427 = arith.constant 1 : i32
%429 = arith.extsi %427 : i32 to i64
%428 = arith.cmpi eq, %425, %429 : i64
cf.cond_br %428, ^bb63, ^bb64
^bb63:
%430 = llvm.load %413 : !llvm.ptr -> i64
%431 = arith.extsi %430 : i64 to i128
%432 = llvm.load %416 : !llvm.ptr -> i64
%433 = arith.extsi %432 : i64 to i128
%435 = arith.trunci %431 : i128 to i64
%436 = arith.trunci %433 : i128 to i64
%434 = arith.muli %435, %436 : i64
%437 = arith.extsi %arg2 : i64 to i128
%439 = arith.trunci %437 : i128 to i64
%438 = arith.remsi %434, %439 : i64
%440 = arith.extsi %438 : i64 to i128
%441 = arith.trunci %440 : i128 to i64
llvm.store %441, %413 : i64, !llvm.ptr
cf.br ^bb65
^bb64:
cf.br ^bb65
^bb65:
%442 = llvm.load %416 : !llvm.ptr -> i64
%443 = arith.extsi %442 : i64 to i128
%444 = llvm.load %416 : !llvm.ptr -> i64
%445 = arith.extsi %444 : i64 to i128
%447 = arith.trunci %443 : i128 to i64
%448 = arith.trunci %445 : i128 to i64
%446 = arith.muli %447, %448 : i64
%449 = arith.extsi %arg2 : i64 to i128
%451 = arith.trunci %449 : i128 to i64
%450 = arith.remsi %446, %451 : i64
%452 = arith.extsi %450 : i64 to i128
%453 = arith.trunci %452 : i128 to i64
llvm.store %453, %416 : i64, !llvm.ptr
%454 = llvm.load %418 : !llvm.ptr -> i64
%455 = arith.constant 2 : i32
%457 = arith.extsi %455 : i32 to i64
%456 = arith.divsi %454, %457 : i64
llvm.store %456, %418 : i64, !llvm.ptr
cf.br ^bb60
^bb62:
%458 = llvm.load %413 : !llvm.ptr -> i64
func.return %458 : i64
}
func.func @main() -> i32 {
%459 = arith.constant 10000019 : i32
%460 = arith.extsi %459 : i32 to i64
%461 = arith.constant 100 : i32
%462 = arith.extsi %461 : i32 to i64
%464 = arith.constant 5 : i32
%465 = arith.constant 8 : i32
%466 = arith.extsi %464 : i32 to i64
%467 = arith.extsi %465 : i32 to i64
%463 = func.call @calloc(%466, %467) : (i64, i64) -> !llvm.ptr
func.call @heap_grundy_freq(%460, %463) : (i64, !llvm.ptr) -> ()
%470 = arith.constant 8 : i32
%471 = arith.constant 8 : i32
%472 = arith.extsi %470 : i32 to i64
%473 = arith.extsi %471 : i32 to i64
%469 = func.call @calloc(%472, %473) : (i64, i64) -> !llvm.ptr
%474 = arith.constant 0 : i32
%475 = arith.constant 5 : i32
%476 = arith.index_cast %474 : i32 to index
%477 = arith.index_cast %475 : i32 to index
%479 = arith.constant 1 : index
%480 = arith.constant -1 : index
%481 = arith.cmpi sle, %476, %477 : index
%478 = arith.select %481, %479, %480 : index
cf.br ^bb66(%476 : index)
^bb66(%482: index):
%483 = arith.cmpi slt, %482, %477 : index
%484 = arith.cmpi sgt, %482, %477 : index
%485 = arith.select %481, %483, %484 : i1
cf.cond_br %485, ^bb67(%482 : index), ^bb68(%482 : index)
^bb67(%486: index):
%488 = arith.index_cast %486 : index to i64
%489 = llvm.getelementptr %463[%488] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%487 = llvm.load %489 : !llvm.ptr -> i64
%490 = arith.constant 0 : i32
%492 = arith.extsi %490 : i32 to i64
%491 = arith.cmpi eq, %487, %492 : i64
cf.cond_br %491, ^bb69, ^bb70
^bb69:
%493 = arith.addi %486, %478 : index
cf.br ^bb66(%493 : index)
^bb70:
cf.br ^bb71
^bb71:
%494 = arith.constant 0 : i32
%495 = arith.constant 5 : i32
%496 = arith.index_cast %494 : i32 to index
%497 = arith.index_cast %495 : i32 to index
%499 = arith.constant 1 : index
%500 = arith.constant -1 : index
%501 = arith.cmpi sle, %496, %497 : index
%498 = arith.select %501, %499, %500 : index
cf.br ^bb72(%496 : index)
^bb72(%502: index):
%503 = arith.cmpi slt, %502, %497 : index
%504 = arith.cmpi sgt, %502, %497 : index
%505 = arith.select %501, %503, %504 : i1
cf.cond_br %505, ^bb73(%502 : index), ^bb74(%502 : index)
^bb73(%506: index):
%508 = arith.index_cast %506 : index to i64
%509 = llvm.getelementptr %463[%508] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%507 = llvm.load %509 : !llvm.ptr -> i64
%510 = arith.constant 0 : i32
%512 = arith.extsi %510 : i32 to i64
%511 = arith.cmpi eq, %507, %512 : i64
cf.cond_br %511, ^bb75, ^bb76
^bb75:
%513 = arith.addi %506, %498 : index
cf.br ^bb72(%513 : index)
^bb76:
cf.br ^bb77
^bb77:
%515 = arith.xori %486, %506 : index
%516 = arith.index_cast %515 : index to i64
%517 = llvm.getelementptr %469[%516] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%514 = llvm.load %517 : !llvm.ptr -> i64
%519 = arith.index_cast %486 : index to i64
%520 = llvm.getelementptr %463[%519] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%518 = llvm.load %520 : !llvm.ptr -> i64
%522 = arith.index_cast %506 : index to i64
%523 = llvm.getelementptr %463[%522] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%521 = llvm.load %523 : !llvm.ptr -> i64
%524 = arith.muli %518, %521 : i64
%525 = arith.addi %514, %524 : i64
%526 = arith.xori %486, %506 : index
%527 = arith.index_cast %526 : index to i64
%528 = llvm.getelementptr %469[%527] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %525, %528 : i64, !llvm.ptr
%529 = arith.addi %506, %498 : index
cf.br ^bb72(%529 : index)
^bb74(%530: index):
%531 = arith.addi %486, %478 : index
cf.br ^bb66(%531 : index)
^bb68(%532: index):
%534 = arith.constant 8 : i32
%535 = arith.constant 8 : i32
%536 = arith.extsi %534 : i32 to i64
%537 = arith.extsi %535 : i32 to i64
%533 = func.call @calloc(%536, %537) : (i64, i64) -> !llvm.ptr
%538 = arith.constant 0 : i32
%539 = arith.constant 8 : i32
%540 = arith.index_cast %538 : i32 to index
%541 = arith.index_cast %539 : i32 to index
%543 = arith.constant 1 : index
%544 = arith.constant -1 : index
%545 = arith.cmpi sle, %540, %541 : index
%542 = arith.select %545, %543, %544 : index
cf.br ^bb78(%540 : index)
^bb78(%546: index):
%547 = arith.cmpi slt, %546, %541 : index
%548 = arith.cmpi sgt, %546, %541 : index
%549 = arith.select %545, %547, %548 : i1
cf.cond_br %549, ^bb79(%546 : index), ^bb80(%546 : index)
^bb79(%550: index):
%552 = arith.index_cast %550 : index to i64
%553 = llvm.getelementptr %469[%552] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%551 = llvm.load %553 : !llvm.ptr -> i64
%554 = llvm.mlir.addressof @MOD : !llvm.ptr
%555 = llvm.load %554 : !llvm.ptr -> i64
%556 = arith.remsi %551, %555 : i64
%557 = arith.index_cast %550 : index to i64
%558 = llvm.getelementptr %533[%557] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %556, %558 : i64, !llvm.ptr
%559 = arith.addi %550, %542 : index
cf.br ^bb78(%559 : index)
^bb80(%560: index):
%562 = arith.constant 8 : i32
%563 = arith.constant 8 : i32
%564 = arith.extsi %562 : i32 to i64
%565 = arith.extsi %563 : i32 to i64
%561 = func.call @calloc(%564, %565) : (i64, i64) -> !llvm.ptr
%567 = llvm.mlir.addressof @MOD : !llvm.ptr
%568 = llvm.load %567 : !llvm.ptr -> i64
func.call @xor_power(%533, %462, %561, %568) : (!llvm.ptr, i64, !llvm.ptr, i64) -> ()
%570 = arith.constant 0 : i32
%571 = arith.extsi %570 : i32 to i64
%572 = llvm.getelementptr %561[%571] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%569 = llvm.load %572 : !llvm.ptr -> i64
%574 = arith.muli %460, %460 : i64
%575 = llvm.mlir.addressof @MOD : !llvm.ptr
%576 = llvm.load %575 : !llvm.ptr -> i64
%577 = arith.remsi %574, %576 : i64
%578 = llvm.mlir.addressof @MOD : !llvm.ptr
%579 = llvm.load %578 : !llvm.ptr -> i64
%573 = func.call @mod_pow(%577, %462, %579) : (i64, i64, i64) -> i64
%580 = llvm.mlir.addressof @MOD : !llvm.ptr
%581 = llvm.load %580 : !llvm.ptr -> i64
%582 = arith.remsi %569, %581 : i64
%583 = arith.subi %573, %582 : i64
%584 = llvm.mlir.addressof @MOD : !llvm.ptr
%585 = llvm.load %584 : !llvm.ptr -> i64
%586 = arith.addi %583, %585 : i64
%587 = llvm.mlir.addressof @MOD : !llvm.ptr
%588 = llvm.load %587 : !llvm.ptr -> i64
%589 = arith.remsi %586, %588 : i64
%590 = llvm.mlir.addressof @str_0 : !llvm.ptr
%591 = llvm.call @printf(%590, %589) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
func.call @free(%561) : (!llvm.ptr) -> ()
func.call @free(%533) : (!llvm.ptr) -> ()
func.call @free(%469) : (!llvm.ptr) -> ()
func.call @free(%463) : (!llvm.ptr) -> ()
%596 = arith.constant 0 : i32
func.return %596 : i32
}
}