Problem 882
Pure Flow port. Compute S(100000).
View problem on Project Euler
Performance comparison
| Metric | Our solution | Best known |
|---|
| Time complexity | O(n) | ? |
|---|
| Space complexity | O(n) | ? |
|---|
| Approach | Flow solution | Not curated |
|---|
| Verdict | Unknown |
|---|
Flow source
# Project Euler 882: Removing Bits
# Pure Flow port. Compute S(100000).
extern {
function calloc(n: i64, size: i64) -> ptr<void>
function malloc(n: i64) -> ptr<void>
function free(p: ptr<void>) -> void
}
function simplest_between(a_scaled: i64, b_scaled: i64, max_exp: i64) -> i64 {
let den: i64 = 1 << max_exp
if a_scaled == -1 {
if b_scaled == -1 {
return 0
}
return ((b_scaled - 1) / den) * den
}
if b_scaled == -1 {
return ((a_scaled / den) + 1) * den
}
let mut k: i64 = 0
while k <= max_exp {
let step: i64 = 1 << (max_exp - k)
let m_low: i64 = a_scaled / step + 1
let m_high: i64 = (b_scaled - 1) / step
if m_low <= m_high {
return m_low * step
}
k = k + 1
}
return 0
}
function compute_S(n: i64) -> i64 {
if n <= 1 { return n }
let mut max_exp: i64 = 0
let mut tmp: i64 = n
while tmp > 0 {
max_exp = max_exp + 1
tmp = tmp >> 1
}
let den: i64 = 1 << max_exp
let g: ptr<i64> = calloc(n + 1, 8)
let mut total_scaled: i64 = 0
let left_opts: ptr<i64> = malloc(64 * 8)
let right_opts: ptr<i64> = malloc(64 * 8)
let mut x: i64 = 1
while x <= n {
let mut left_count: i64 = 0
let mut right_count: i64 = 0
let mut bits: i64 = 0
let mut tmpx: i64 = x
while tmpx > 0 {
bits = bits + 1
tmpx = tmpx >> 1
}
let mut j: i64 = 0
while j < bits {
let bit: i64 = (x >> j) & 1
let higher: i64 = x >> (j + 1)
let lower: i64 = x & ((1 << j) - 1)
let y: i64 = (higher << j) | lower
if bit != 0 {
left_opts[left_count] = g[y]
left_count = left_count + 1
} else {
right_opts[right_count] = g[y]
right_count = right_count + 1
}
j = j + 1
}
let mut changed: bool = true
while changed {
changed = false
if right_count > 0 {
let mut min_r: i64 = right_opts[0]
let mut i: i64 = 1
while i < right_count {
if right_opts[i] < min_r {
min_r = right_opts[i]
}
i = i + 1
}
let mut new_left_count: i64 = 0
i = 0
while i < left_count {
if left_opts[i] < min_r {
left_opts[new_left_count] = left_opts[i]
new_left_count = new_left_count + 1
}
i = i + 1
}
if new_left_count != left_count {
left_count = new_left_count
changed = true
}
}
if left_count > 0 {
let mut max_l: i64 = left_opts[0]
let mut i: i64 = 1
while i < left_count {
if left_opts[i] > max_l {
max_l = left_opts[i]
}
i = i + 1
}
let mut new_right_count: i64 = 0
i = 0
while i < right_count {
if right_opts[i] > max_l {
right_opts[new_right_count] = right_opts[i]
new_right_count = new_right_count + 1
}
i = i + 1
}
if new_right_count != right_count {
right_count = new_right_count
changed = true
}
}
}
let mut max_l: i64 = -1
let mut min_r: i64 = -1
if left_count > 0 {
max_l = left_opts[0]
let mut i: i64 = 1
while i < left_count {
if left_opts[i] > max_l {
max_l = left_opts[i]
}
i = i + 1
}
}
if right_count > 0 {
min_r = right_opts[0]
let mut i: i64 = 1
while i < right_count {
if right_opts[i] < min_r {
min_r = right_opts[i]
}
i = i + 1
}
}
g[x] = simplest_between(max_l, min_r, max_exp)
total_scaled = total_scaled + x * g[x]
x = x + 1
}
free(left_opts)
free(right_opts)
free(g)
return (total_scaled + den - 1) / den
}
function main() -> i32 {
printf("%lld\n", compute_S(100000))
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 simplest_between_i64_i64_i64(int64_t a_scaled, int64_t b_scaled, int64_t max_exp);
int64_t compute_S_i64(int64_t n);
int32_t main(void);
int64_t simplest_between_i64_i64_i64(int64_t a_scaled, int64_t b_scaled, int64_t max_exp) {
int64_t den = FLOW_CHECKED_SHL((1), (max_exp));
if (a_scaled == (-1)) {
if (b_scaled == (-1)) {
return 0;
}
return (FLOW_CHECKED_DIV(((b_scaled - 1)), (den)) * den);
}
if (b_scaled == (-1)) {
return ((FLOW_CHECKED_DIV((a_scaled), (den)) + 1) * den);
}
int64_t k = 0;
while (k <= max_exp) {
int64_t step = FLOW_CHECKED_SHL((1), ((max_exp - k)));
int64_t m_low = (FLOW_CHECKED_DIV((a_scaled), (step)) + 1);
int64_t m_high = FLOW_CHECKED_DIV(((b_scaled - 1)), (step));
if (m_low <= m_high) {
return (m_low * step);
}
k = (k + 1);
}
return 0;
}
int64_t compute_S_i64(int64_t n) {
if (n <= 1) {
return n;
}
int64_t max_exp = 0;
int64_t tmp = n;
while (tmp > 0) {
max_exp = (max_exp + 1);
tmp = FLOW_CHECKED_SHR((tmp), (1));
}
int64_t den = FLOW_CHECKED_SHL((1), (max_exp));
int64_t* g = (int64_t*)(calloc((n + 1), 8));
int64_t total_scaled = 0;
int64_t* left_opts = (int64_t*)(malloc((64 * 8)));
int64_t* right_opts = (int64_t*)(malloc((64 * 8)));
int64_t x = 1;
while (x <= n) {
int64_t left_count = 0;
int64_t right_count = 0;
int64_t bits = 0;
int64_t tmpx = x;
while (tmpx > 0) {
bits = (bits + 1);
tmpx = FLOW_CHECKED_SHR((tmpx), (1));
}
int64_t j = 0;
while (j < bits) {
int64_t bit = (FLOW_CHECKED_SHR((x), (j)) & 1);
int64_t higher = FLOW_CHECKED_SHR((x), ((j + 1)));
int64_t lower = (x & (FLOW_CHECKED_SHL((1), (j)) - 1));
int64_t y = (FLOW_CHECKED_SHL((higher), (j)) | lower);
if (bit != 0) {
left_opts[left_count] = g[y];
left_count = (left_count + 1);
} else {
right_opts[right_count] = g[y];
right_count = (right_count + 1);
}
j = (j + 1);
}
bool changed = 1;
while (changed) {
changed = 0;
if (right_count > 0) {
int64_t min_r = right_opts[0];
int64_t i = 1;
while (i < right_count) {
if (right_opts[i] < min_r) {
min_r = right_opts[i];
}
i = (i + 1);
}
int64_t new_left_count = 0;
i = 0;
while (i < left_count) {
if (left_opts[i] < min_r) {
left_opts[new_left_count] = left_opts[i];
new_left_count = (new_left_count + 1);
}
i = (i + 1);
}
if (new_left_count != left_count) {
left_count = new_left_count;
changed = 1;
}
}
if (left_count > 0) {
int64_t max_l = left_opts[0];
int64_t i = 1;
while (i < left_count) {
if (left_opts[i] > max_l) {
max_l = left_opts[i];
}
i = (i + 1);
}
int64_t new_right_count = 0;
i = 0;
while (i < right_count) {
if (right_opts[i] > max_l) {
right_opts[new_right_count] = right_opts[i];
new_right_count = (new_right_count + 1);
}
i = (i + 1);
}
if (new_right_count != right_count) {
right_count = new_right_count;
changed = 1;
}
}
}
int64_t max_l = (-1);
int64_t min_r = (-1);
if (left_count > 0) {
max_l = left_opts[0];
int64_t i = 1;
while (i < left_count) {
if (left_opts[i] > max_l) {
max_l = left_opts[i];
}
i = (i + 1);
}
}
if (right_count > 0) {
min_r = right_opts[0];
int64_t i = 1;
while (i < right_count) {
if (right_opts[i] < min_r) {
min_r = right_opts[i];
}
i = (i + 1);
}
}
g[x] = simplest_between_i64_i64_i64(max_l, min_r, max_exp);
total_scaled = (total_scaled + (x * g[x]));
x = (x + 1);
}
free(left_opts);
free(right_opts);
free(g);
return FLOW_CHECKED_DIV((((total_scaled + den) - 1)), (den));
}
int32_t main(void) {
printf("%lld\n", compute_S_i64(100000));
return 0;
}
Generated MLIR
module {
llvm.func @printf(!llvm.ptr, ...) -> i32
llvm.mlir.global internal constant @str_0("%lld\n\00") {addr_space = 0 : i32} : !llvm.array<6 x i8>
func.func private @calloc(i64, i64) -> !llvm.ptr
func.func private @malloc(i64) -> !llvm.ptr
func.func private @free(!llvm.ptr) -> ()
func.func @simplest_between(%arg0: i64, %arg1: i64, %arg2: i64) -> i64 {
%0 = arith.constant 1 : i32
%2 = arith.extsi %0 : i32 to i64
%1 = arith.shli %2, %arg2 : i64
%3 = arith.constant 1 : i32
%5 = arith.constant 0 : i32
%4 = arith.subi %5, %3 : i32
%7 = arith.extsi %4 : i32 to i64
%6 = arith.cmpi eq, %arg0, %7 : i64
cf.cond_br %6, ^bb0, ^bb1
^bb0:
%8 = arith.constant 1 : i32
%10 = arith.constant 0 : i32
%9 = arith.subi %10, %8 : i32
%12 = arith.extsi %9 : i32 to i64
%11 = arith.cmpi eq, %arg1, %12 : i64
cf.cond_br %11, ^bb3, ^bb4
^bb3:
%13 = arith.constant 0 : i32
%14 = arith.extsi %13 : i32 to i64
func.return %14 : i64
^bb4:
cf.br ^bb5
^bb5:
%15 = arith.constant 1 : i32
%17 = arith.extsi %15 : i32 to i64
%16 = arith.subi %arg1, %17 : i64
%18 = arith.divsi %16, %1 : i64
%19 = arith.muli %18, %1 : i64
func.return %19 : i64
^bb1:
cf.br ^bb2
^bb2:
%20 = arith.constant 1 : i32
%22 = arith.constant 0 : i32
%21 = arith.subi %22, %20 : i32
%24 = arith.extsi %21 : i32 to i64
%23 = arith.cmpi eq, %arg1, %24 : i64
cf.cond_br %23, ^bb6, ^bb7
^bb6:
%25 = arith.divsi %arg0, %1 : i64
%26 = arith.constant 1 : i32
%28 = arith.extsi %26 : i32 to i64
%27 = arith.addi %25, %28 : i64
%29 = arith.muli %27, %1 : i64
func.return %29 : i64
^bb7:
cf.br ^bb8
^bb8:
%30 = arith.constant 0 : i32
%31 = arith.extsi %30 : i32 to i64
%32 = llvm.mlir.constant(1 : i64) : i64
%33 = llvm.alloca %32 x i64 : (i64) -> !llvm.ptr
llvm.store %31, %33 : i64, !llvm.ptr
cf.br ^bb9
^bb9:
%34 = llvm.load %33 : !llvm.ptr -> i64
%35 = arith.cmpi sle, %34, %arg2 : i64
cf.cond_br %35, ^bb10, ^bb11
^bb10:
%36 = arith.constant 1 : i32
%37 = llvm.load %33 : !llvm.ptr -> i64
%38 = arith.subi %arg2, %37 : i64
%40 = arith.extsi %36 : i32 to i64
%39 = arith.shli %40, %38 : i64
%41 = arith.divsi %arg0, %39 : i64
%42 = arith.constant 1 : i32
%44 = arith.extsi %42 : i32 to i64
%43 = arith.addi %41, %44 : i64
%45 = arith.constant 1 : i32
%47 = arith.extsi %45 : i32 to i64
%46 = arith.subi %arg1, %47 : i64
%48 = arith.divsi %46, %39 : i64
%49 = arith.cmpi sle, %43, %48 : i64
cf.cond_br %49, ^bb12, ^bb13
^bb12:
%50 = arith.muli %43, %39 : i64
func.return %50 : i64
^bb13:
cf.br ^bb14
^bb14:
%51 = llvm.load %33 : !llvm.ptr -> i64
%52 = arith.constant 1 : i32
%54 = arith.extsi %52 : i32 to i64
%53 = arith.addi %51, %54 : i64
llvm.store %53, %33 : i64, !llvm.ptr
cf.br ^bb9
^bb11:
%55 = arith.constant 0 : i32
%56 = arith.extsi %55 : i32 to i64
func.return %56 : i64
}
func.func @compute_S(%arg0: i64) -> i64 {
%57 = arith.constant 1 : i32
%59 = arith.extsi %57 : i32 to i64
%58 = arith.cmpi sle, %arg0, %59 : i64
cf.cond_br %58, ^bb15, ^bb16
^bb15:
func.return %arg0 : i64
^bb16:
cf.br ^bb17
^bb17:
%60 = arith.constant 0 : i32
%61 = arith.extsi %60 : i32 to i64
%62 = llvm.mlir.constant(1 : i64) : i64
%63 = llvm.alloca %62 x i64 : (i64) -> !llvm.ptr
llvm.store %61, %63 : i64, !llvm.ptr
%64 = llvm.mlir.constant(1 : i64) : i64
%65 = llvm.alloca %64 x i64 : (i64) -> !llvm.ptr
llvm.store %arg0, %65 : i64, !llvm.ptr
cf.br ^bb18
^bb18:
%66 = llvm.load %65 : !llvm.ptr -> i64
%67 = arith.constant 0 : i32
%69 = arith.extsi %67 : i32 to i64
%68 = arith.cmpi sgt, %66, %69 : i64
cf.cond_br %68, ^bb19, ^bb20
^bb19:
%70 = llvm.load %63 : !llvm.ptr -> i64
%71 = arith.constant 1 : i32
%73 = arith.extsi %71 : i32 to i64
%72 = arith.addi %70, %73 : i64
llvm.store %72, %63 : i64, !llvm.ptr
%74 = llvm.load %65 : !llvm.ptr -> i64
%75 = arith.constant 1 : i32
%77 = arith.extsi %75 : i32 to i64
%76 = arith.shrsi %74, %77 : i64
llvm.store %76, %65 : i64, !llvm.ptr
cf.br ^bb18
^bb20:
%78 = arith.constant 1 : i32
%79 = llvm.load %63 : !llvm.ptr -> i64
%81 = arith.extsi %78 : i32 to i64
%80 = arith.shli %81, %79 : i64
%83 = arith.constant 1 : i32
%85 = arith.extsi %83 : i32 to i64
%84 = arith.addi %arg0, %85 : i64
%86 = arith.constant 8 : i32
%87 = arith.extsi %86 : i32 to i64
%82 = func.call @calloc(%84, %87) : (i64, i64) -> !llvm.ptr
%88 = arith.constant 0 : i32
%89 = arith.extsi %88 : i32 to i64
%90 = llvm.mlir.constant(1 : i64) : i64
%91 = llvm.alloca %90 x i64 : (i64) -> !llvm.ptr
llvm.store %89, %91 : i64, !llvm.ptr
%93 = arith.constant 64 : i32
%94 = arith.constant 8 : i32
%95 = arith.muli %93, %94 : i32
%96 = arith.extsi %95 : i32 to i64
%92 = func.call @malloc(%96) : (i64) -> !llvm.ptr
%98 = arith.constant 64 : i32
%99 = arith.constant 8 : i32
%100 = arith.muli %98, %99 : i32
%101 = arith.extsi %100 : i32 to i64
%97 = func.call @malloc(%101) : (i64) -> !llvm.ptr
%102 = arith.constant 1 : i32
%103 = arith.extsi %102 : i32 to i64
%104 = llvm.mlir.constant(1 : i64) : i64
%105 = llvm.alloca %104 x i64 : (i64) -> !llvm.ptr
llvm.store %103, %105 : i64, !llvm.ptr
cf.br ^bb21
^bb21:
%106 = llvm.load %105 : !llvm.ptr -> i64
%107 = arith.cmpi sle, %106, %arg0 : i64
cf.cond_br %107, ^bb22, ^bb23
^bb22:
%108 = arith.constant 0 : i32
%109 = arith.extsi %108 : i32 to i64
%110 = llvm.mlir.constant(1 : i64) : i64
%111 = llvm.alloca %110 x i64 : (i64) -> !llvm.ptr
llvm.store %109, %111 : i64, !llvm.ptr
%112 = arith.constant 0 : i32
%113 = arith.extsi %112 : i32 to i64
%114 = llvm.mlir.constant(1 : i64) : i64
%115 = llvm.alloca %114 x i64 : (i64) -> !llvm.ptr
llvm.store %113, %115 : i64, !llvm.ptr
%116 = arith.constant 0 : i32
%117 = arith.extsi %116 : i32 to i64
%118 = llvm.mlir.constant(1 : i64) : i64
%119 = llvm.alloca %118 x i64 : (i64) -> !llvm.ptr
llvm.store %117, %119 : i64, !llvm.ptr
%120 = llvm.load %105 : !llvm.ptr -> i64
%121 = llvm.mlir.constant(1 : i64) : i64
%122 = llvm.alloca %121 x i64 : (i64) -> !llvm.ptr
llvm.store %120, %122 : i64, !llvm.ptr
cf.br ^bb24
^bb24:
%123 = llvm.load %122 : !llvm.ptr -> i64
%124 = arith.constant 0 : i32
%126 = arith.extsi %124 : i32 to i64
%125 = arith.cmpi sgt, %123, %126 : i64
cf.cond_br %125, ^bb25, ^bb26
^bb25:
%127 = llvm.load %119 : !llvm.ptr -> i64
%128 = arith.constant 1 : i32
%130 = arith.extsi %128 : i32 to i64
%129 = arith.addi %127, %130 : i64
llvm.store %129, %119 : i64, !llvm.ptr
%131 = llvm.load %122 : !llvm.ptr -> i64
%132 = arith.constant 1 : i32
%134 = arith.extsi %132 : i32 to i64
%133 = arith.shrsi %131, %134 : i64
llvm.store %133, %122 : i64, !llvm.ptr
cf.br ^bb24
^bb26:
%135 = arith.constant 0 : i32
%136 = arith.extsi %135 : i32 to i64
%137 = llvm.mlir.constant(1 : i64) : i64
%138 = llvm.alloca %137 x i64 : (i64) -> !llvm.ptr
llvm.store %136, %138 : i64, !llvm.ptr
cf.br ^bb27
^bb27:
%139 = llvm.load %138 : !llvm.ptr -> i64
%140 = llvm.load %119 : !llvm.ptr -> i64
%141 = arith.cmpi slt, %139, %140 : i64
cf.cond_br %141, ^bb28, ^bb29
^bb28:
%142 = llvm.load %105 : !llvm.ptr -> i64
%143 = llvm.load %138 : !llvm.ptr -> i64
%144 = arith.shrsi %142, %143 : i64
%145 = arith.constant 1 : i32
%147 = arith.extsi %145 : i32 to i64
%146 = arith.andi %144, %147 : i64
%148 = llvm.load %105 : !llvm.ptr -> i64
%149 = llvm.load %138 : !llvm.ptr -> i64
%150 = arith.constant 1 : i32
%152 = arith.extsi %150 : i32 to i64
%151 = arith.addi %149, %152 : i64
%153 = arith.shrsi %148, %151 : i64
%154 = llvm.load %105 : !llvm.ptr -> i64
%155 = arith.constant 1 : i32
%156 = llvm.load %138 : !llvm.ptr -> i64
%158 = arith.extsi %155 : i32 to i64
%157 = arith.shli %158, %156 : i64
%159 = arith.constant 1 : i32
%161 = arith.extsi %159 : i32 to i64
%160 = arith.subi %157, %161 : i64
%162 = arith.andi %154, %160 : i64
%163 = llvm.load %138 : !llvm.ptr -> i64
%164 = arith.shli %153, %163 : i64
%165 = arith.ori %164, %162 : i64
%166 = arith.constant 0 : i32
%168 = arith.extsi %166 : i32 to i64
%167 = arith.cmpi ne, %146, %168 : i64
cf.cond_br %167, ^bb30, ^bb31
^bb30:
%170 = llvm.getelementptr %82[%165] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%169 = llvm.load %170 : !llvm.ptr -> i64
%171 = llvm.load %111 : !llvm.ptr -> i64
%172 = llvm.getelementptr %92[%171] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %169, %172 : i64, !llvm.ptr
%173 = llvm.load %111 : !llvm.ptr -> i64
%174 = arith.constant 1 : i32
%176 = arith.extsi %174 : i32 to i64
%175 = arith.addi %173, %176 : i64
llvm.store %175, %111 : i64, !llvm.ptr
cf.br ^bb32
^bb31:
%178 = llvm.getelementptr %82[%165] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%177 = llvm.load %178 : !llvm.ptr -> i64
%179 = llvm.load %115 : !llvm.ptr -> i64
%180 = llvm.getelementptr %97[%179] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %177, %180 : i64, !llvm.ptr
%181 = llvm.load %115 : !llvm.ptr -> i64
%182 = arith.constant 1 : i32
%184 = arith.extsi %182 : i32 to i64
%183 = arith.addi %181, %184 : i64
llvm.store %183, %115 : i64, !llvm.ptr
cf.br ^bb32
^bb32:
%185 = llvm.load %138 : !llvm.ptr -> i64
%186 = arith.constant 1 : i32
%188 = arith.extsi %186 : i32 to i64
%187 = arith.addi %185, %188 : i64
llvm.store %187, %138 : i64, !llvm.ptr
cf.br ^bb27
^bb29:
%189 = arith.constant 1 : i1
%190 = llvm.mlir.constant(1 : i64) : i64
%191 = llvm.alloca %190 x i1 : (i64) -> !llvm.ptr
llvm.store %189, %191 : i1, !llvm.ptr
cf.br ^bb33
^bb33:
%192 = llvm.load %191 : !llvm.ptr -> i1
cf.cond_br %192, ^bb34, ^bb35
^bb34:
%193 = arith.constant 0 : i1
llvm.store %193, %191 : i1, !llvm.ptr
%194 = llvm.load %115 : !llvm.ptr -> i64
%195 = arith.constant 0 : i32
%197 = arith.extsi %195 : i32 to i64
%196 = arith.cmpi sgt, %194, %197 : i64
cf.cond_br %196, ^bb36, ^bb37
^bb36:
%199 = arith.constant 0 : i32
%200 = arith.extsi %199 : i32 to i64
%201 = llvm.getelementptr %97[%200] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%198 = llvm.load %201 : !llvm.ptr -> i64
%202 = llvm.mlir.constant(1 : i64) : i64
%203 = llvm.alloca %202 x i64 : (i64) -> !llvm.ptr
llvm.store %198, %203 : i64, !llvm.ptr
%204 = arith.constant 1 : i32
%205 = arith.extsi %204 : i32 to i64
%206 = llvm.mlir.constant(1 : i64) : i64
%207 = llvm.alloca %206 x i64 : (i64) -> !llvm.ptr
llvm.store %205, %207 : i64, !llvm.ptr
cf.br ^bb39
^bb39:
%208 = llvm.load %207 : !llvm.ptr -> i64
%209 = llvm.load %115 : !llvm.ptr -> i64
%210 = arith.cmpi slt, %208, %209 : i64
cf.cond_br %210, ^bb40, ^bb41
^bb40:
%212 = llvm.load %207 : !llvm.ptr -> i64
%213 = llvm.getelementptr %97[%212] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%211 = llvm.load %213 : !llvm.ptr -> i64
%214 = llvm.load %203 : !llvm.ptr -> i64
%215 = arith.cmpi slt, %211, %214 : i64
cf.cond_br %215, ^bb42, ^bb43
^bb42:
%217 = llvm.load %207 : !llvm.ptr -> i64
%218 = llvm.getelementptr %97[%217] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%216 = llvm.load %218 : !llvm.ptr -> i64
llvm.store %216, %203 : i64, !llvm.ptr
cf.br ^bb44
^bb43:
cf.br ^bb44
^bb44:
%219 = llvm.load %207 : !llvm.ptr -> i64
%220 = arith.constant 1 : i32
%222 = arith.extsi %220 : i32 to i64
%221 = arith.addi %219, %222 : i64
llvm.store %221, %207 : i64, !llvm.ptr
cf.br ^bb39
^bb41:
%223 = arith.constant 0 : i32
%224 = arith.extsi %223 : i32 to i64
%225 = llvm.mlir.constant(1 : i64) : i64
%226 = llvm.alloca %225 x i64 : (i64) -> !llvm.ptr
llvm.store %224, %226 : i64, !llvm.ptr
%227 = arith.constant 0 : i32
%228 = arith.extsi %227 : i32 to i64
llvm.store %228, %207 : i64, !llvm.ptr
cf.br ^bb45
^bb45:
%229 = llvm.load %207 : !llvm.ptr -> i64
%230 = llvm.load %111 : !llvm.ptr -> i64
%231 = arith.cmpi slt, %229, %230 : i64
cf.cond_br %231, ^bb46, ^bb47
^bb46:
%233 = llvm.load %207 : !llvm.ptr -> i64
%234 = llvm.getelementptr %92[%233] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%232 = llvm.load %234 : !llvm.ptr -> i64
%235 = llvm.load %203 : !llvm.ptr -> i64
%236 = arith.cmpi slt, %232, %235 : i64
cf.cond_br %236, ^bb48, ^bb49
^bb48:
%238 = llvm.load %207 : !llvm.ptr -> i64
%239 = llvm.getelementptr %92[%238] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%237 = llvm.load %239 : !llvm.ptr -> i64
%240 = llvm.load %226 : !llvm.ptr -> i64
%241 = llvm.getelementptr %92[%240] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %237, %241 : i64, !llvm.ptr
%242 = llvm.load %226 : !llvm.ptr -> i64
%243 = arith.constant 1 : i32
%245 = arith.extsi %243 : i32 to i64
%244 = arith.addi %242, %245 : i64
llvm.store %244, %226 : i64, !llvm.ptr
cf.br ^bb50
^bb49:
cf.br ^bb50
^bb50:
%246 = llvm.load %207 : !llvm.ptr -> i64
%247 = arith.constant 1 : i32
%249 = arith.extsi %247 : i32 to i64
%248 = arith.addi %246, %249 : i64
llvm.store %248, %207 : i64, !llvm.ptr
cf.br ^bb45
^bb47:
%250 = llvm.load %226 : !llvm.ptr -> i64
%251 = llvm.load %111 : !llvm.ptr -> i64
%252 = arith.cmpi ne, %250, %251 : i64
cf.cond_br %252, ^bb51, ^bb52
^bb51:
%253 = llvm.load %226 : !llvm.ptr -> i64
llvm.store %253, %111 : i64, !llvm.ptr
%254 = arith.constant 1 : i1
llvm.store %254, %191 : i1, !llvm.ptr
cf.br ^bb53
^bb52:
cf.br ^bb53
^bb53:
cf.br ^bb38
^bb37:
cf.br ^bb38
^bb38:
%255 = llvm.load %111 : !llvm.ptr -> i64
%256 = arith.constant 0 : i32
%258 = arith.extsi %256 : i32 to i64
%257 = arith.cmpi sgt, %255, %258 : i64
cf.cond_br %257, ^bb54, ^bb55
^bb54:
%260 = arith.constant 0 : i32
%261 = arith.extsi %260 : i32 to i64
%262 = llvm.getelementptr %92[%261] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%259 = llvm.load %262 : !llvm.ptr -> i64
%263 = llvm.mlir.constant(1 : i64) : i64
%264 = llvm.alloca %263 x i64 : (i64) -> !llvm.ptr
llvm.store %259, %264 : i64, !llvm.ptr
%265 = arith.constant 1 : i32
%266 = arith.extsi %265 : i32 to i64
%267 = llvm.mlir.constant(1 : i64) : i64
%268 = llvm.alloca %267 x i64 : (i64) -> !llvm.ptr
llvm.store %266, %268 : i64, !llvm.ptr
cf.br ^bb57
^bb57:
%269 = llvm.load %268 : !llvm.ptr -> i64
%270 = llvm.load %111 : !llvm.ptr -> i64
%271 = arith.cmpi slt, %269, %270 : i64
cf.cond_br %271, ^bb58, ^bb59
^bb58:
%273 = llvm.load %268 : !llvm.ptr -> i64
%274 = llvm.getelementptr %92[%273] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%272 = llvm.load %274 : !llvm.ptr -> i64
%275 = llvm.load %264 : !llvm.ptr -> i64
%276 = arith.cmpi sgt, %272, %275 : i64
cf.cond_br %276, ^bb60, ^bb61
^bb60:
%278 = llvm.load %268 : !llvm.ptr -> i64
%279 = llvm.getelementptr %92[%278] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%277 = llvm.load %279 : !llvm.ptr -> i64
llvm.store %277, %264 : i64, !llvm.ptr
cf.br ^bb62
^bb61:
cf.br ^bb62
^bb62:
%280 = llvm.load %268 : !llvm.ptr -> i64
%281 = arith.constant 1 : i32
%283 = arith.extsi %281 : i32 to i64
%282 = arith.addi %280, %283 : i64
llvm.store %282, %268 : i64, !llvm.ptr
cf.br ^bb57
^bb59:
%284 = arith.constant 0 : i32
%285 = arith.extsi %284 : i32 to i64
%286 = llvm.mlir.constant(1 : i64) : i64
%287 = llvm.alloca %286 x i64 : (i64) -> !llvm.ptr
llvm.store %285, %287 : i64, !llvm.ptr
%288 = arith.constant 0 : i32
%289 = arith.extsi %288 : i32 to i64
llvm.store %289, %268 : i64, !llvm.ptr
cf.br ^bb63
^bb63:
%290 = llvm.load %268 : !llvm.ptr -> i64
%291 = llvm.load %115 : !llvm.ptr -> i64
%292 = arith.cmpi slt, %290, %291 : i64
cf.cond_br %292, ^bb64, ^bb65
^bb64:
%294 = llvm.load %268 : !llvm.ptr -> i64
%295 = llvm.getelementptr %97[%294] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%293 = llvm.load %295 : !llvm.ptr -> i64
%296 = llvm.load %264 : !llvm.ptr -> i64
%297 = arith.cmpi sgt, %293, %296 : i64
cf.cond_br %297, ^bb66, ^bb67
^bb66:
%299 = llvm.load %268 : !llvm.ptr -> i64
%300 = llvm.getelementptr %97[%299] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%298 = llvm.load %300 : !llvm.ptr -> i64
%301 = llvm.load %287 : !llvm.ptr -> i64
%302 = llvm.getelementptr %97[%301] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %298, %302 : i64, !llvm.ptr
%303 = llvm.load %287 : !llvm.ptr -> i64
%304 = arith.constant 1 : i32
%306 = arith.extsi %304 : i32 to i64
%305 = arith.addi %303, %306 : i64
llvm.store %305, %287 : i64, !llvm.ptr
cf.br ^bb68
^bb67:
cf.br ^bb68
^bb68:
%307 = llvm.load %268 : !llvm.ptr -> i64
%308 = arith.constant 1 : i32
%310 = arith.extsi %308 : i32 to i64
%309 = arith.addi %307, %310 : i64
llvm.store %309, %268 : i64, !llvm.ptr
cf.br ^bb63
^bb65:
%311 = llvm.load %287 : !llvm.ptr -> i64
%312 = llvm.load %115 : !llvm.ptr -> i64
%313 = arith.cmpi ne, %311, %312 : i64
cf.cond_br %313, ^bb69, ^bb70
^bb69:
%314 = llvm.load %287 : !llvm.ptr -> i64
llvm.store %314, %115 : i64, !llvm.ptr
%315 = arith.constant 1 : i1
llvm.store %315, %191 : i1, !llvm.ptr
cf.br ^bb71
^bb70:
cf.br ^bb71
^bb71:
cf.br ^bb56
^bb55:
cf.br ^bb56
^bb56:
cf.br ^bb33
^bb35:
%316 = arith.constant 1 : i32
%318 = arith.constant 0 : i32
%317 = arith.subi %318, %316 : i32
%319 = arith.extsi %317 : i32 to i64
%320 = llvm.mlir.constant(1 : i64) : i64
%321 = llvm.alloca %320 x i64 : (i64) -> !llvm.ptr
llvm.store %319, %321 : i64, !llvm.ptr
%322 = arith.constant 1 : i32
%324 = arith.constant 0 : i32
%323 = arith.subi %324, %322 : i32
%325 = arith.extsi %323 : i32 to i64
%326 = llvm.mlir.constant(1 : i64) : i64
%327 = llvm.alloca %326 x i64 : (i64) -> !llvm.ptr
llvm.store %325, %327 : i64, !llvm.ptr
%328 = llvm.load %111 : !llvm.ptr -> i64
%329 = arith.constant 0 : i32
%331 = arith.extsi %329 : i32 to i64
%330 = arith.cmpi sgt, %328, %331 : i64
cf.cond_br %330, ^bb72, ^bb73
^bb72:
%333 = arith.constant 0 : i32
%334 = arith.extsi %333 : i32 to i64
%335 = llvm.getelementptr %92[%334] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%332 = llvm.load %335 : !llvm.ptr -> i64
llvm.store %332, %321 : i64, !llvm.ptr
%336 = arith.constant 1 : i32
%337 = arith.extsi %336 : i32 to i64
%338 = llvm.mlir.constant(1 : i64) : i64
%339 = llvm.alloca %338 x i64 : (i64) -> !llvm.ptr
llvm.store %337, %339 : i64, !llvm.ptr
cf.br ^bb75
^bb75:
%340 = llvm.load %339 : !llvm.ptr -> i64
%341 = llvm.load %111 : !llvm.ptr -> i64
%342 = arith.cmpi slt, %340, %341 : i64
cf.cond_br %342, ^bb76, ^bb77
^bb76:
%344 = llvm.load %339 : !llvm.ptr -> i64
%345 = llvm.getelementptr %92[%344] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%343 = llvm.load %345 : !llvm.ptr -> i64
%346 = llvm.load %321 : !llvm.ptr -> i64
%347 = arith.cmpi sgt, %343, %346 : i64
cf.cond_br %347, ^bb78, ^bb79
^bb78:
%349 = llvm.load %339 : !llvm.ptr -> i64
%350 = llvm.getelementptr %92[%349] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%348 = llvm.load %350 : !llvm.ptr -> i64
llvm.store %348, %321 : i64, !llvm.ptr
cf.br ^bb80
^bb79:
cf.br ^bb80
^bb80:
%351 = llvm.load %339 : !llvm.ptr -> i64
%352 = arith.constant 1 : i32
%354 = arith.extsi %352 : i32 to i64
%353 = arith.addi %351, %354 : i64
llvm.store %353, %339 : i64, !llvm.ptr
cf.br ^bb75
^bb77:
cf.br ^bb74
^bb73:
cf.br ^bb74
^bb74:
%355 = llvm.load %115 : !llvm.ptr -> i64
%356 = arith.constant 0 : i32
%358 = arith.extsi %356 : i32 to i64
%357 = arith.cmpi sgt, %355, %358 : i64
cf.cond_br %357, ^bb81, ^bb82
^bb81:
%360 = arith.constant 0 : i32
%361 = arith.extsi %360 : i32 to i64
%362 = llvm.getelementptr %97[%361] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%359 = llvm.load %362 : !llvm.ptr -> i64
llvm.store %359, %327 : i64, !llvm.ptr
%363 = arith.constant 1 : i32
%364 = arith.extsi %363 : i32 to i64
%365 = llvm.mlir.constant(1 : i64) : i64
%366 = llvm.alloca %365 x i64 : (i64) -> !llvm.ptr
llvm.store %364, %366 : i64, !llvm.ptr
cf.br ^bb84
^bb84:
%367 = llvm.load %366 : !llvm.ptr -> i64
%368 = llvm.load %115 : !llvm.ptr -> i64
%369 = arith.cmpi slt, %367, %368 : i64
cf.cond_br %369, ^bb85, ^bb86
^bb85:
%371 = llvm.load %366 : !llvm.ptr -> i64
%372 = llvm.getelementptr %97[%371] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%370 = llvm.load %372 : !llvm.ptr -> i64
%373 = llvm.load %327 : !llvm.ptr -> i64
%374 = arith.cmpi slt, %370, %373 : i64
cf.cond_br %374, ^bb87, ^bb88
^bb87:
%376 = llvm.load %366 : !llvm.ptr -> i64
%377 = llvm.getelementptr %97[%376] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%375 = llvm.load %377 : !llvm.ptr -> i64
llvm.store %375, %327 : i64, !llvm.ptr
cf.br ^bb89
^bb88:
cf.br ^bb89
^bb89:
%378 = llvm.load %366 : !llvm.ptr -> i64
%379 = arith.constant 1 : i32
%381 = arith.extsi %379 : i32 to i64
%380 = arith.addi %378, %381 : i64
llvm.store %380, %366 : i64, !llvm.ptr
cf.br ^bb84
^bb86:
cf.br ^bb83
^bb82:
cf.br ^bb83
^bb83:
%383 = llvm.load %321 : !llvm.ptr -> i64
%384 = llvm.load %327 : !llvm.ptr -> i64
%385 = llvm.load %63 : !llvm.ptr -> i64
%382 = func.call @simplest_between(%383, %384, %385) : (i64, i64, i64) -> i64
%386 = llvm.load %105 : !llvm.ptr -> i64
%387 = llvm.getelementptr %82[%386] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %382, %387 : i64, !llvm.ptr
%388 = llvm.load %91 : !llvm.ptr -> i64
%389 = llvm.load %105 : !llvm.ptr -> i64
%391 = llvm.load %105 : !llvm.ptr -> i64
%392 = llvm.getelementptr %82[%391] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%390 = llvm.load %392 : !llvm.ptr -> i64
%393 = arith.muli %389, %390 : i64
%394 = arith.addi %388, %393 : i64
llvm.store %394, %91 : i64, !llvm.ptr
%395 = llvm.load %105 : !llvm.ptr -> i64
%396 = arith.constant 1 : i32
%398 = arith.extsi %396 : i32 to i64
%397 = arith.addi %395, %398 : i64
llvm.store %397, %105 : i64, !llvm.ptr
cf.br ^bb21
^bb23:
func.call @free(%92) : (!llvm.ptr) -> ()
func.call @free(%97) : (!llvm.ptr) -> ()
func.call @free(%82) : (!llvm.ptr) -> ()
%402 = llvm.load %91 : !llvm.ptr -> i64
%403 = arith.addi %402, %80 : i64
%404 = arith.constant 1 : i32
%406 = arith.extsi %404 : i32 to i64
%405 = arith.subi %403, %406 : i64
%407 = arith.divsi %405, %80 : i64
func.return %407 : i64
}
func.func @main() -> i32 {
%408 = llvm.mlir.addressof @str_0 : !llvm.ptr
%410 = arith.constant 100000 : i32
%411 = arith.extsi %410 : i32 to i64
%409 = func.call @compute_S(%411) : (i64) -> i64
%412 = llvm.call @printf(%408, %409) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
%413 = arith.constant 0 : i32
func.return %413 : i32
}
}