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Problem 350
f(10^6, 10^12, 10^18) mod 101^4.
View problem on Project Euler
Performance comparison
Metric Our solution Best known
Time complexity O(n)?
Space complexity O(n^2)?
Approach Flow solution Not curated
Verdict Unknown
Flow source
# Project Euler 350
# f(10^6, 10^12, 10^18) mod 101^4.
extern {
function calloc(n: i64, size: i64) -> ptr<void>
function free(p: ptr<void>) -> void
}
function modpow(base: i64, exp: i64, mod: i64) -> i64 {
let mut r: i64 = 1
let mut b: i64 = base % mod
let mut e: i64 = exp
while e > 0 {
if e % 2 == 1 { r = (r * b) % mod }
b = (b * b) % mod
e = e / 2
}
return r
}
function main() -> i32 {
let G: i64 = 1000000
let L: i64 = 1000000000000
let N: i64 = 1000000000000000000
let mod: i64 = 104060401
let n: i64 = L / G
let mut max_e: i64 = 0
let mut t: i64 = n
while t > 1 {
t = t / 2
max_e = max_e + 1
}
let pow_cache: ptr<i64> = calloc(max_e + 3, 8)
let a: ptr<i64> = calloc(max_e + 1, 8)
for e in 0..max_e + 2 {
pow_cache[e] = modpow(e, N, mod)
}
for e in 1..max_e + 1 {
a[e] = (pow_cache[e + 1] - 2 * pow_cache[e] + pow_cache[e - 1] + 2 * mod) % mod
}
let spf: ptr<i32> = calloc(n + 1, 4)
let primes: ptr<i32> = calloc(n / 5 + 10, 4)
let mut pc: i64 = 0
let mut i: i64 = 2
while i <= n {
if spf[i] == 0 {
spf[i] = i as i32
primes[pc] = i as i32
pc = pc + 1
}
let mut j: i64 = 0
while j < pc {
let p: i64 = primes[j] as i64
if p > (spf[i] as i64) || i * p > n { break }
spf[i * p] = p as i32
j = j + 1
}
i = i + 1
}
let expv: ptr<i8> = calloc(n + 1, 1)
let rest: ptr<i32> = calloc(n + 1, 4)
let c: ptr<i32> = calloc(n + 1, 4)
let pref: ptr<i32> = calloc(n + 1, 4)
if expv == null || rest == null || c == null || pref == null { return 1 }
rest[1] = 1
c[1] = 1
for i in 2..n + 1 {
let p: i64 = spf[i] as i64
let m: i64 = i / p
if (spf[m] as i64) == p {
expv[i] = expv[m] + 1
rest[i] = rest[m]
} else {
expv[i] = 1
rest[i] = m as i32
}
c[i] = ((c[rest[i]] as i64) * a[expv[i]] % mod) as i32
}
let mut s: i64 = 0
for i in 1..n + 1 {
s = (s + (c[i] as i64)) % mod
pref[i] = s as i32
}
let mut ans: i64 = 0
let mut d: i64 = G
while d <= L {
let q: i64 = L / d
let r: i64 = L / q
let cnt: i64 = r - d + 1
ans = (ans + (cnt % mod) * (pref[q] as i64)) % mod
d = r + 1
}
printf("%lld\n", ans)
free(pow_cache); free(a); free(spf); free(primes)
free(expv); free(rest); free(c); free(pref)
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 modpow_i64_i64_i64(int64_t base, int64_t exp, int64_t mod);
int32_t main(void);
int64_t modpow_i64_i64_i64(int64_t base, int64_t exp, int64_t mod) {
int64_t r = 1;
int64_t b = FLOW_CHECKED_MOD((base), (mod));
int64_t e = exp;
while (e > 0) {
if (FLOW_CHECKED_MOD((e), (2)) == 1) {
r = FLOW_CHECKED_MOD(((r * b)), (mod));
}
b = FLOW_CHECKED_MOD(((b * b)), (mod));
e = FLOW_CHECKED_DIV((e), (2));
}
return r;
}
int32_t main(void) {
int64_t G = 1000000;
int64_t L = 1000000000000;
int64_t N = 1000000000000000000;
int64_t mod = 104060401;
int64_t n = FLOW_CHECKED_DIV((L), (G));
int64_t max_e = 0;
int64_t t = n;
while (t > 1) {
t = FLOW_CHECKED_DIV((t), (2));
max_e = (max_e + 1);
}
int64_t* pow_cache = (int64_t*)(calloc((max_e + 3), 8));
int64_t* a = (int64_t*)(calloc((max_e + 1), 8));
int32_t __flow_step_1 = 1;
for (int32_t e = 0; (0 <= (max_e + 2)) ? e < (max_e + 2) : e > (max_e + 2); e += (0 <= (max_e + 2)) ? 1 : -1) {
pow_cache[e] = modpow_i64_i64_i64(e, N, mod);
}
int32_t __flow_step_2 = 1;
for (int32_t e = 1; (1 <= (max_e + 1)) ? e < (max_e + 1) : e > (max_e + 1); e += (1 <= (max_e + 1)) ? 1 : -1) {
a[e] = FLOW_CHECKED_MOD(((((pow_cache[(e + 1)] - (2 * pow_cache[e])) + pow_cache[(e - 1)]) + (2 * mod))), (mod));
}
int32_t* spf = (int32_t*)(calloc((n + 1), 4));
int32_t* primes = (int32_t*)(calloc((FLOW_CHECKED_DIV((n), (5)) + 10), 4));
int64_t pc = 0;
int64_t i = 2;
while (i <= n) {
if (spf[i] == 0) {
spf[i] = ((int32_t)(i));
primes[pc] = ((int32_t)(i));
pc = (pc + 1);
}
int64_t j = 0;
while (j < pc) {
int64_t p = ((int64_t)(primes[j]));
if ((p > ((int64_t)(spf[i])) || (i * p) > n)) {
break;
}
spf[(i * p)] = ((int32_t)(p));
j = (j + 1);
}
i = (i + 1);
}
int8_t* expv = (int8_t*)(calloc((n + 1), 1));
int32_t* rest = (int32_t*)(calloc((n + 1), 4));
int32_t* c = (int32_t*)(calloc((n + 1), 4));
int32_t* pref = (int32_t*)(calloc((n + 1), 4));
if ((((expv == NULL || rest == NULL) || c == NULL) || pref == NULL)) {
return 1;
}
rest[1] = 1;
c[1] = 1;
int32_t __flow_step_3 = 1;
for (int32_t i = 2; (2 <= (n + 1)) ? i < (n + 1) : i > (n + 1); i += (2 <= (n + 1)) ? 1 : -1) {
int64_t p = ((int64_t)(spf[i]));
int64_t m = FLOW_CHECKED_DIV((i), (p));
if (((int64_t)(spf[m])) == p) {
expv[i] = (expv[m] + 1);
rest[i] = rest[m];
} else {
expv[i] = 1;
rest[i] = ((int32_t)(m));
}
c[i] = ((int32_t)(FLOW_CHECKED_MOD(((((int64_t)(c[rest[i]])) * a[expv[i]])), (mod))));
}
int64_t s = 0;
int32_t __flow_step_4 = 1;
for (int32_t i = 1; (1 <= (n + 1)) ? i < (n + 1) : i > (n + 1); i += (1 <= (n + 1)) ? 1 : -1) {
s = FLOW_CHECKED_MOD(((s + ((int64_t)(c[i])))), (mod));
pref[i] = ((int32_t)(s));
}
int64_t ans = 0;
int64_t d = G;
while (d <= L) {
int64_t q = FLOW_CHECKED_DIV((L), (d));
int64_t r = FLOW_CHECKED_DIV((L), (q));
int64_t cnt = ((r - d) + 1);
ans = FLOW_CHECKED_MOD(((ans + (FLOW_CHECKED_MOD((cnt), (mod)) * ((int64_t)(pref[q]))))), (mod));
d = (r + 1);
}
printf("%lld\n", ans);
free(pow_cache);
free(a);
free(spf);
free(primes);
free(expv);
free(rest);
free(c);
free(pref);
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 @free(!llvm.ptr) -> ()
func.func @modpow(%arg0: i64, %arg1: i64, %arg2: i64) -> i64 {
%0 = arith.constant 1 : 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
%4 = arith.remsi %arg0, %arg2 : i64
%5 = llvm.mlir.constant(1 : i64) : i64
%6 = llvm.alloca %5 x i64 : (i64) -> !llvm.ptr
llvm.store %4, %6 : i64, !llvm.ptr
%7 = llvm.mlir.constant(1 : i64) : i64
%8 = llvm.alloca %7 x i64 : (i64) -> !llvm.ptr
llvm.store %arg1, %8 : i64, !llvm.ptr
cf.br ^bb0
^bb0:
%9 = llvm.load %8 : !llvm.ptr -> i64
%10 = arith.constant 0 : i32
%12 = arith.extsi %10 : i32 to i64
%11 = arith.cmpi sgt, %9, %12 : i64
cf.cond_br %11, ^bb1, ^bb2
^bb1:
%13 = llvm.load %8 : !llvm.ptr -> i64
%14 = arith.constant 2 : i32
%16 = arith.extsi %14 : i32 to i64
%15 = arith.remsi %13, %16 : i64
%17 = arith.constant 1 : i32
%19 = arith.extsi %17 : i32 to i64
%18 = arith.cmpi eq, %15, %19 : i64
cf.cond_br %18, ^bb3, ^bb4
^bb3:
%20 = llvm.load %3 : !llvm.ptr -> i64
%21 = llvm.load %6 : !llvm.ptr -> i64
%22 = arith.muli %20, %21 : i64
%23 = arith.remsi %22, %arg2 : i64
llvm.store %23, %3 : i64, !llvm.ptr
cf.br ^bb5
^bb4:
cf.br ^bb5
^bb5:
%24 = llvm.load %6 : !llvm.ptr -> i64
%25 = llvm.load %6 : !llvm.ptr -> i64
%26 = arith.muli %24, %25 : i64
%27 = arith.remsi %26, %arg2 : i64
llvm.store %27, %6 : i64, !llvm.ptr
%28 = llvm.load %8 : !llvm.ptr -> i64
%29 = arith.constant 2 : i32
%31 = arith.extsi %29 : i32 to i64
%30 = arith.divsi %28, %31 : i64
llvm.store %30, %8 : i64, !llvm.ptr
cf.br ^bb0
^bb2:
%32 = llvm.load %3 : !llvm.ptr -> i64
func.return %32 : i64
}
func.func @main() -> i32 {
%33 = arith.constant 1000000 : i32
%34 = arith.extsi %33 : i32 to i64
%35 = arith.constant 995705032704 : i32
%36 = arith.extsi %35 : i32 to i64
%37 = arith.constant 999999995705032704 : i32
%38 = arith.extsi %37 : i32 to i64
%39 = arith.constant 104060401 : i32
%40 = arith.extsi %39 : i32 to i64
%41 = arith.divsi %36, %34 : i64
%42 = arith.constant 0 : i32
%43 = arith.extsi %42 : i32 to i64
%44 = llvm.mlir.constant(1 : i64) : i64
%45 = llvm.alloca %44 x i64 : (i64) -> !llvm.ptr
llvm.store %43, %45 : i64, !llvm.ptr
%46 = llvm.mlir.constant(1 : i64) : i64
%47 = llvm.alloca %46 x i64 : (i64) -> !llvm.ptr
llvm.store %41, %47 : i64, !llvm.ptr
cf.br ^bb6
^bb6:
%48 = llvm.load %47 : !llvm.ptr -> i64
%49 = arith.constant 1 : i32
%51 = arith.extsi %49 : i32 to i64
%50 = arith.cmpi sgt, %48, %51 : i64
cf.cond_br %50, ^bb7, ^bb8
^bb7:
%52 = llvm.load %47 : !llvm.ptr -> i64
%53 = arith.constant 2 : i32
%55 = arith.extsi %53 : i32 to i64
%54 = arith.divsi %52, %55 : i64
llvm.store %54, %47 : i64, !llvm.ptr
%56 = llvm.load %45 : !llvm.ptr -> i64
%57 = arith.constant 1 : i32
%59 = arith.extsi %57 : i32 to i64
%58 = arith.addi %56, %59 : i64
llvm.store %58, %45 : i64, !llvm.ptr
cf.br ^bb6
^bb8:
%61 = llvm.load %45 : !llvm.ptr -> i64
%62 = arith.constant 3 : i32
%64 = arith.extsi %62 : i32 to i64
%63 = arith.addi %61, %64 : i64
%65 = arith.constant 8 : i32
%66 = arith.extsi %65 : i32 to i64
%60 = func.call @calloc(%63, %66) : (i64, i64) -> !llvm.ptr
%68 = llvm.load %45 : !llvm.ptr -> i64
%69 = arith.constant 1 : i32
%71 = arith.extsi %69 : i32 to i64
%70 = arith.addi %68, %71 : i64
%72 = arith.constant 8 : i32
%73 = arith.extsi %72 : i32 to i64
%67 = func.call @calloc(%70, %73) : (i64, i64) -> !llvm.ptr
%74 = arith.constant 0 : i32
%75 = llvm.load %45 : !llvm.ptr -> i64
%76 = arith.constant 2 : i32
%78 = arith.extsi %76 : i32 to i64
%77 = arith.addi %75, %78 : i64
%79 = arith.index_cast %74 : i32 to index
%80 = arith.index_cast %77 : i32 to index
%82 = arith.constant 1 : index
%83 = arith.constant -1 : index
%84 = arith.cmpi sle, %79, %80 : index
%81 = arith.select %84, %82, %83 : index
cf.br ^bb9(%79 : index)
^bb9(%85: index):
%86 = arith.cmpi slt, %85, %80 : index
%87 = arith.cmpi sgt, %85, %80 : index
%88 = arith.select %84, %86, %87 : i1
cf.cond_br %88, ^bb10(%85 : index), ^bb11(%85 : index)
^bb10(%89: index):
%91 = arith.index_cast %89 : index to i64
%90 = func.call @modpow(%91, %38, %40) : (i64, i64, i64) -> i64
%92 = arith.index_cast %89 : index to i64
%93 = llvm.getelementptr %60[%92] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %90, %93 : i64, !llvm.ptr
%94 = arith.addi %89, %81 : index
cf.br ^bb9(%94 : index)
^bb11(%95: index):
%96 = arith.constant 1 : i32
%97 = llvm.load %45 : !llvm.ptr -> i64
%98 = arith.constant 1 : i32
%100 = arith.extsi %98 : i32 to i64
%99 = arith.addi %97, %100 : i64
%101 = arith.index_cast %96 : i32 to index
%102 = arith.index_cast %99 : i32 to index
%104 = arith.constant 1 : index
%105 = arith.constant -1 : index
%106 = arith.cmpi sle, %101, %102 : index
%103 = arith.select %106, %104, %105 : index
cf.br ^bb12(%101 : index)
^bb12(%107: index):
%108 = arith.cmpi slt, %107, %102 : index
%109 = arith.cmpi sgt, %107, %102 : index
%110 = arith.select %106, %108, %109 : i1
cf.cond_br %110, ^bb13(%107 : index), ^bb14(%107 : index)
^bb13(%111: index):
%113 = arith.constant 1 : i32
%115 = arith.index_cast %111 : index to i32
%114 = arith.addi %115, %113 : i32
%116 = arith.extsi %114 : i32 to i64
%117 = llvm.getelementptr %60[%116] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%112 = llvm.load %117 : !llvm.ptr -> i64
%118 = arith.constant 2 : i32
%120 = arith.index_cast %111 : index to i64
%121 = llvm.getelementptr %60[%120] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%119 = llvm.load %121 : !llvm.ptr -> i64
%123 = arith.extsi %118 : i32 to i64
%122 = arith.muli %123, %119 : i64
%124 = arith.subi %112, %122 : i64
%126 = arith.constant 1 : i32
%128 = arith.index_cast %111 : index to i32
%127 = arith.subi %128, %126 : i32
%129 = arith.extsi %127 : i32 to i64
%130 = llvm.getelementptr %60[%129] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%125 = llvm.load %130 : !llvm.ptr -> i64
%131 = arith.addi %124, %125 : i64
%132 = arith.constant 2 : i32
%134 = arith.extsi %132 : i32 to i64
%133 = arith.muli %134, %40 : i64
%135 = arith.addi %131, %133 : i64
%136 = arith.remsi %135, %40 : i64
%137 = arith.index_cast %111 : index to i64
%138 = llvm.getelementptr %67[%137] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %136, %138 : i64, !llvm.ptr
%139 = arith.addi %111, %103 : index
cf.br ^bb12(%139 : index)
^bb14(%140: index):
%142 = arith.constant 1 : i32
%144 = arith.extsi %142 : i32 to i64
%143 = arith.addi %41, %144 : i64
%145 = arith.constant 4 : i32
%146 = arith.extsi %145 : i32 to i64
%141 = func.call @calloc(%143, %146) : (i64, i64) -> !llvm.ptr
%148 = arith.constant 5 : i32
%150 = arith.extsi %148 : i32 to i64
%149 = arith.divsi %41, %150 : i64
%151 = arith.constant 10 : i32
%153 = arith.extsi %151 : i32 to i64
%152 = arith.addi %149, %153 : i64
%154 = arith.constant 4 : i32
%155 = arith.extsi %154 : i32 to i64
%147 = func.call @calloc(%152, %155) : (i64, i64) -> !llvm.ptr
%156 = arith.constant 0 : i32
%157 = arith.extsi %156 : i32 to i64
%158 = llvm.mlir.constant(1 : i64) : i64
%159 = llvm.alloca %158 x i64 : (i64) -> !llvm.ptr
llvm.store %157, %159 : i64, !llvm.ptr
%160 = arith.constant 2 : i32
%161 = arith.extsi %160 : i32 to i64
%162 = llvm.mlir.constant(1 : i64) : i64
%163 = llvm.alloca %162 x i64 : (i64) -> !llvm.ptr
llvm.store %161, %163 : i64, !llvm.ptr
cf.br ^bb15
^bb15:
%164 = llvm.load %163 : !llvm.ptr -> i64
%165 = arith.cmpi sle, %164, %41 : i64
cf.cond_br %165, ^bb16, ^bb17
^bb16:
%167 = llvm.load %163 : !llvm.ptr -> i64
%168 = llvm.getelementptr %141[%167] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%166 = llvm.load %168 : !llvm.ptr -> i32
%169 = arith.constant 0 : i32
%170 = arith.cmpi eq, %166, %169 : i32
cf.cond_br %170, ^bb18, ^bb19
^bb18:
%171 = llvm.load %163 : !llvm.ptr -> i64
%172 = arith.trunci %171 : i64 to i32
%173 = llvm.load %163 : !llvm.ptr -> i64
%174 = llvm.getelementptr %141[%173] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %172, %174 : i32, !llvm.ptr
%175 = llvm.load %163 : !llvm.ptr -> i64
%176 = arith.trunci %175 : i64 to i32
%177 = llvm.load %159 : !llvm.ptr -> i64
%178 = llvm.getelementptr %147[%177] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %176, %178 : i32, !llvm.ptr
%179 = llvm.load %159 : !llvm.ptr -> i64
%180 = arith.constant 1 : i32
%182 = arith.extsi %180 : i32 to i64
%181 = arith.addi %179, %182 : i64
llvm.store %181, %159 : i64, !llvm.ptr
cf.br ^bb20
^bb19:
cf.br ^bb20
^bb20:
%183 = arith.constant 0 : i32
%184 = arith.extsi %183 : i32 to i64
%185 = llvm.mlir.constant(1 : i64) : i64
%186 = llvm.alloca %185 x i64 : (i64) -> !llvm.ptr
llvm.store %184, %186 : i64, !llvm.ptr
cf.br ^bb21
^bb21:
%187 = llvm.load %186 : !llvm.ptr -> i64
%188 = llvm.load %159 : !llvm.ptr -> i64
%189 = arith.cmpi slt, %187, %188 : i64
cf.cond_br %189, ^bb22, ^bb23
^bb22:
%191 = llvm.load %186 : !llvm.ptr -> i64
%192 = llvm.getelementptr %147[%191] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%190 = llvm.load %192 : !llvm.ptr -> i32
%193 = arith.extsi %190 : i32 to i64
%195 = llvm.load %163 : !llvm.ptr -> i64
%196 = llvm.getelementptr %141[%195] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%194 = llvm.load %196 : !llvm.ptr -> i32
%197 = arith.extsi %194 : i32 to i64
%198 = arith.cmpi sgt, %193, %197 : i64
%199 = scf.if %198 -> (i1) {
%200 = arith.constant true
scf.yield %200 : i1
} else {
%201 = llvm.load %163 : !llvm.ptr -> i64
%202 = arith.muli %201, %193 : i64
%203 = arith.cmpi sgt, %202, %41 : i64
scf.yield %203 : i1
}
cf.cond_br %199, ^bb24, ^bb25
^bb24:
cf.br ^bb23
^bb25:
cf.br ^bb26
^bb26:
%204 = arith.trunci %193 : i64 to i32
%205 = llvm.load %163 : !llvm.ptr -> i64
%206 = arith.muli %205, %193 : i64
%207 = llvm.getelementptr %141[%206] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %204, %207 : i32, !llvm.ptr
%208 = llvm.load %186 : !llvm.ptr -> i64
%209 = arith.constant 1 : i32
%211 = arith.extsi %209 : i32 to i64
%210 = arith.addi %208, %211 : i64
llvm.store %210, %186 : i64, !llvm.ptr
cf.br ^bb21
^bb23:
%212 = llvm.load %163 : !llvm.ptr -> i64
%213 = arith.constant 1 : i32
%215 = arith.extsi %213 : i32 to i64
%214 = arith.addi %212, %215 : i64
llvm.store %214, %163 : i64, !llvm.ptr
cf.br ^bb15
^bb17:
%217 = arith.constant 1 : i32
%219 = arith.extsi %217 : i32 to i64
%218 = arith.addi %41, %219 : i64
%220 = arith.constant 1 : i32
%221 = arith.extsi %220 : i32 to i64
%216 = func.call @calloc(%218, %221) : (i64, i64) -> !llvm.ptr
%223 = arith.constant 1 : i32
%225 = arith.extsi %223 : i32 to i64
%224 = arith.addi %41, %225 : i64
%226 = arith.constant 4 : i32
%227 = arith.extsi %226 : i32 to i64
%222 = func.call @calloc(%224, %227) : (i64, i64) -> !llvm.ptr
%229 = arith.constant 1 : i32
%231 = arith.extsi %229 : i32 to i64
%230 = arith.addi %41, %231 : i64
%232 = arith.constant 4 : i32
%233 = arith.extsi %232 : i32 to i64
%228 = func.call @calloc(%230, %233) : (i64, i64) -> !llvm.ptr
%235 = arith.constant 1 : i32
%237 = arith.extsi %235 : i32 to i64
%236 = arith.addi %41, %237 : i64
%238 = arith.constant 4 : i32
%239 = arith.extsi %238 : i32 to i64
%234 = func.call @calloc(%236, %239) : (i64, i64) -> !llvm.ptr
%240 = llvm.mlir.zero : !llvm.ptr
%241 = llvm.icmp "eq" %216, %240 : !llvm.ptr
%242 = scf.if %241 -> (i1) {
%243 = arith.constant true
scf.yield %243 : i1
} else {
%244 = llvm.mlir.zero : !llvm.ptr
%245 = llvm.icmp "eq" %222, %244 : !llvm.ptr
scf.yield %245 : i1
}
%246 = scf.if %242 -> (i1) {
%247 = arith.constant true
scf.yield %247 : i1
} else {
%248 = llvm.mlir.zero : !llvm.ptr
%249 = llvm.icmp "eq" %228, %248 : !llvm.ptr
scf.yield %249 : i1
}
%250 = scf.if %246 -> (i1) {
%251 = arith.constant true
scf.yield %251 : i1
} else {
%252 = llvm.mlir.zero : !llvm.ptr
%253 = llvm.icmp "eq" %234, %252 : !llvm.ptr
scf.yield %253 : i1
}
cf.cond_br %250, ^bb27, ^bb28
^bb27:
%254 = arith.constant 1 : i32
func.return %254 : i32
^bb28:
cf.br ^bb29
^bb29:
%255 = arith.constant 1 : i32
%256 = arith.constant 1 : i32
%257 = arith.extsi %256 : i32 to i64
%258 = llvm.getelementptr %222[%257] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %255, %258 : i32, !llvm.ptr
%259 = arith.constant 1 : i32
%260 = arith.constant 1 : i32
%261 = arith.extsi %260 : i32 to i64
%262 = llvm.getelementptr %228[%261] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %259, %262 : i32, !llvm.ptr
%263 = arith.constant 2 : i32
%264 = arith.constant 1 : i32
%266 = arith.extsi %264 : i32 to i64
%265 = arith.addi %41, %266 : i64
%267 = arith.index_cast %263 : i32 to index
%268 = arith.index_cast %265 : i32 to index
%270 = arith.constant 1 : index
%271 = arith.constant -1 : index
%272 = arith.cmpi sle, %267, %268 : index
%269 = arith.select %272, %270, %271 : index
cf.br ^bb30(%267 : index)
^bb30(%273: index):
%274 = arith.cmpi slt, %273, %268 : index
%275 = arith.cmpi sgt, %273, %268 : index
%276 = arith.select %272, %274, %275 : i1
cf.cond_br %276, ^bb31(%273 : index), ^bb32(%273 : index)
^bb31(%277: index):
%279 = arith.index_cast %277 : index to i64
%280 = llvm.getelementptr %141[%279] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%278 = llvm.load %280 : !llvm.ptr -> i32
%281 = arith.extsi %278 : i32 to i64
%283 = arith.index_cast %277 : index to i32
%284 = arith.trunci %281 : i64 to i32
%282 = arith.divsi %283, %284 : i32
%285 = arith.extsi %282 : i32 to i64
%287 = llvm.getelementptr %141[%285] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%286 = llvm.load %287 : !llvm.ptr -> i32
%288 = arith.extsi %286 : i32 to i64
%289 = arith.cmpi eq, %288, %281 : i64
cf.cond_br %289, ^bb33, ^bb34
^bb33:
%291 = llvm.getelementptr %216[%285] : (!llvm.ptr, i64) -> !llvm.ptr, i8
%290 = llvm.load %291 : !llvm.ptr -> i8
%292 = arith.constant 1 : i32
%294 = arith.extsi %290 : i8 to i32
%293 = arith.addi %294, %292 : i32
%295 = arith.trunci %293 : i32 to i8
%296 = arith.index_cast %277 : index to i64
%297 = llvm.getelementptr %216[%296] : (!llvm.ptr, i64) -> !llvm.ptr, i8
llvm.store %295, %297 : i8, !llvm.ptr
%299 = llvm.getelementptr %222[%285] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%298 = llvm.load %299 : !llvm.ptr -> i32
%300 = arith.index_cast %277 : index to i64
%301 = llvm.getelementptr %222[%300] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %298, %301 : i32, !llvm.ptr
cf.br ^bb35
^bb34:
%302 = arith.constant 1 : i32
%303 = arith.trunci %302 : i32 to i8
%304 = arith.index_cast %277 : index to i64
%305 = llvm.getelementptr %216[%304] : (!llvm.ptr, i64) -> !llvm.ptr, i8
llvm.store %303, %305 : i8, !llvm.ptr
%306 = arith.trunci %285 : i64 to i32
%307 = arith.index_cast %277 : index to i64
%308 = llvm.getelementptr %222[%307] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %306, %308 : i32, !llvm.ptr
cf.br ^bb35
^bb35:
%311 = arith.index_cast %277 : index to i64
%312 = llvm.getelementptr %222[%311] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%310 = llvm.load %312 : !llvm.ptr -> i32
%313 = arith.extsi %310 : i32 to i64
%314 = llvm.getelementptr %228[%313] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%309 = llvm.load %314 : !llvm.ptr -> i32
%315 = arith.extsi %309 : i32 to i64
%318 = arith.index_cast %277 : index to i64
%319 = llvm.getelementptr %216[%318] : (!llvm.ptr, i64) -> !llvm.ptr, i8
%317 = llvm.load %319 : !llvm.ptr -> i8
%320 = arith.extsi %317 : i8 to i64
%321 = llvm.getelementptr %67[%320] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%316 = llvm.load %321 : !llvm.ptr -> i64
%322 = arith.muli %315, %316 : i64
%323 = arith.remsi %322, %40 : i64
%324 = arith.trunci %323 : i64 to i32
%325 = arith.index_cast %277 : index to i64
%326 = llvm.getelementptr %228[%325] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %324, %326 : i32, !llvm.ptr
%327 = arith.addi %277, %269 : index
cf.br ^bb30(%327 : index)
^bb32(%328: index):
%329 = arith.constant 0 : i32
%330 = arith.extsi %329 : i32 to i64
%331 = llvm.mlir.constant(1 : i64) : i64
%332 = llvm.alloca %331 x i64 : (i64) -> !llvm.ptr
llvm.store %330, %332 : i64, !llvm.ptr
%333 = arith.constant 1 : i32
%334 = arith.constant 1 : i32
%336 = arith.extsi %334 : i32 to i64
%335 = arith.addi %41, %336 : i64
%337 = arith.index_cast %333 : i32 to index
%338 = arith.index_cast %335 : i32 to index
%340 = arith.constant 1 : index
%341 = arith.constant -1 : index
%342 = arith.cmpi sle, %337, %338 : index
%339 = arith.select %342, %340, %341 : index
cf.br ^bb36(%337 : index)
^bb36(%343: index):
%344 = arith.cmpi slt, %343, %338 : index
%345 = arith.cmpi sgt, %343, %338 : index
%346 = arith.select %342, %344, %345 : i1
cf.cond_br %346, ^bb37(%343 : index), ^bb38(%343 : index)
^bb37(%347: index):
%348 = llvm.load %332 : !llvm.ptr -> i64
%350 = arith.index_cast %347 : index to i64
%351 = llvm.getelementptr %228[%350] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%349 = llvm.load %351 : !llvm.ptr -> i32
%352 = arith.extsi %349 : i32 to i64
%353 = arith.addi %348, %352 : i64
%354 = arith.remsi %353, %40 : i64
llvm.store %354, %332 : i64, !llvm.ptr
%355 = llvm.load %332 : !llvm.ptr -> i64
%356 = arith.trunci %355 : i64 to i32
%357 = arith.index_cast %347 : index to i64
%358 = llvm.getelementptr %234[%357] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %356, %358 : i32, !llvm.ptr
%359 = arith.addi %347, %339 : index
cf.br ^bb36(%359 : index)
^bb38(%360: index):
%361 = arith.constant 0 : i32
%362 = arith.extsi %361 : i32 to i64
%363 = llvm.mlir.constant(1 : i64) : i64
%364 = llvm.alloca %363 x i64 : (i64) -> !llvm.ptr
llvm.store %362, %364 : i64, !llvm.ptr
%365 = llvm.mlir.constant(1 : i64) : i64
%366 = llvm.alloca %365 x i64 : (i64) -> !llvm.ptr
llvm.store %34, %366 : i64, !llvm.ptr
cf.br ^bb39
^bb39:
%367 = llvm.load %366 : !llvm.ptr -> i64
%368 = arith.cmpi sle, %367, %36 : i64
cf.cond_br %368, ^bb40, ^bb41
^bb40:
%369 = llvm.load %366 : !llvm.ptr -> i64
%370 = arith.divsi %36, %369 : i64
%371 = arith.divsi %36, %370 : i64
%372 = llvm.load %366 : !llvm.ptr -> i64
%373 = arith.subi %371, %372 : i64
%374 = arith.constant 1 : i32
%376 = arith.extsi %374 : i32 to i64
%375 = arith.addi %373, %376 : i64
%377 = llvm.load %364 : !llvm.ptr -> i64
%378 = arith.remsi %375, %40 : i64
%380 = llvm.getelementptr %234[%370] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%379 = llvm.load %380 : !llvm.ptr -> i32
%381 = arith.extsi %379 : i32 to i64
%382 = arith.muli %378, %381 : i64
%383 = arith.addi %377, %382 : i64
%384 = arith.remsi %383, %40 : i64
llvm.store %384, %364 : i64, !llvm.ptr
%385 = arith.constant 1 : i32
%387 = arith.extsi %385 : i32 to i64
%386 = arith.addi %371, %387 : i64
llvm.store %386, %366 : i64, !llvm.ptr
cf.br ^bb39
^bb41:
%388 = llvm.mlir.addressof @str_0 : !llvm.ptr
%389 = llvm.load %364 : !llvm.ptr -> i64
%390 = llvm.call @printf(%388, %389) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
func.call @free(%60) : (!llvm.ptr) -> ()
func.call @free(%67) : (!llvm.ptr) -> ()
func.call @free(%141) : (!llvm.ptr) -> ()
func.call @free(%147) : (!llvm.ptr) -> ()
func.call @free(%216) : (!llvm.ptr) -> ()
func.call @free(%222) : (!llvm.ptr) -> ()
func.call @free(%228) : (!llvm.ptr) -> ()
func.call @free(%234) : (!llvm.ptr) -> ()
%399 = arith.constant 0 : i32
func.return %399 : i32
}
}