← All problems Problem 171
Last 9 digits of sum of all n < 10^20 whose digit-square-sum is a square.
View problem on Project Euler
Performance comparison
Metric Our solution Best known
Time complexity O(n^3)O(n)Space complexity O(n)O(n)Approach Flow solution Big-integer arithmetic Verdict Suboptimal
Flow source
# Project Euler 171
# Last 9 digits of sum of all n < 10^20 whose digit-square-sum is a square.
import euler.nt { isqrt, mod_pow }
extern {
function calloc(n: i64, size: i64) -> ptr<void>
function free(p: ptr<void>) -> void
}
function main() -> i32 {
let length: i32 = 20
let mod: i64 = 1000000000
let max_s: i32 = 81 * length # 9^2 * 20
let sqsum: ptr<i64> = calloc((length + 1) as i64 * (max_s + 1) as i64, 8)
let count: ptr<i64> = calloc((length + 1) as i64 * (max_s + 1) as i64, 8)
if sqsum == null || count == null { return 1 }
# index: i*(max_s+1) + s
count[0] = 1
let mut i: i32 = 1
while i <= length {
let mut j: i32 = 0
while j < 10 {
let j2: i32 = j * j
let mut k: i32 = 0
while k + j2 <= max_s {
let idx: i64 = (i as i64) * ((max_s + 1) as i64) + ((k + j2) as i64)
let prev: i64 = ((i - 1) as i64) * ((max_s + 1) as i64) + (k as i64)
let add: i64 = (sqsum[prev] + mod_pow(10, (i - 1) as i64, mod) * (j as i64) % mod * count[prev] % mod) % mod
sqsum[idx] = (sqsum[idx] + add) % mod
count[idx] = (count[idx] + count[prev]) % mod
k = k + 1
}
j = j + 1
}
i = i + 1
}
let mut ans: i64 = 0
let max_root: i64 = isqrt(max_s as i64)
let mut r: i64 = 1
while r <= max_root {
let s: i64 = r * r
let idx: i64 = (length as i64) * ((max_s + 1) as i64) + s
ans = (ans + sqsum[idx]) % mod
r = r + 1
}
printf("%lld\n", ans)
free(sqsum)
free(count)
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 gcd_i64_i64(int64_t a0, int64_t b0);
int64_t lcm_i64_i64(int64_t a, int64_t b);
int64_t isqrt_i64(int64_t n);
int64_t mulmod_i64_i64_i64(int64_t a0, int64_t b0, int64_t mod);
int64_t mod_pow_i64_i64_i64(int64_t base, int64_t exp, int64_t mod);
bool is_prime_i64(int64_t n);
int32_t main(void);
int64_t gcd_i64_i64(int64_t a0, int64_t b0) {
int64_t a = a0;
int64_t b = b0;
while (b != 0) {
int64_t t = FLOW_CHECKED_MOD((a), (b));
a = b;
b = t;
}
return a;
}
int64_t lcm_i64_i64(int64_t a, int64_t b) {
if ((a == 0 || b == 0)) {
return 0;
}
return (FLOW_CHECKED_DIV((a), (gcd_i64_i64(a, b))) * b);
}
int64_t isqrt_i64(int64_t n) {
if (n < 2) {
return n;
}
int64_t x = n;
int64_t y = FLOW_CHECKED_DIV(((x + 1)), (2));
while (y < x) {
x = y;
y = FLOW_CHECKED_DIV(((x + FLOW_CHECKED_DIV((n), (x)))), (2));
}
return x;
}
int64_t mulmod_i64_i64_i64(int64_t a0, int64_t b0, int64_t mod) {
int64_t a = FLOW_CHECKED_MOD((a0), (mod));
int64_t b = FLOW_CHECKED_MOD((b0), (mod));
int64_t result = 0;
while (b > 0) {
if (FLOW_CHECKED_MOD((b), (2)) == 1) {
result = FLOW_CHECKED_MOD(((result + a)), (mod));
}
a = FLOW_CHECKED_MOD(((a * 2)), (mod));
b = FLOW_CHECKED_DIV((b), (2));
}
return result;
}
int64_t mod_pow_i64_i64_i64(int64_t base, int64_t exp, int64_t mod) {
if (mod == 1) {
return 0;
}
int64_t result = 1;
int64_t b = FLOW_CHECKED_MOD((base), (mod));
int64_t e = exp;
while (e > 0) {
if (FLOW_CHECKED_MOD((e), (2)) == 1) {
result = mulmod_i64_i64_i64(result, b, mod);
}
b = mulmod_i64_i64_i64(b, b, mod);
e = FLOW_CHECKED_DIV((e), (2));
}
return result;
}
bool is_prime_i64(int64_t n) {
if (n < 2) {
return 0;
}
if (n < 4) {
return 1;
}
if ((FLOW_CHECKED_MOD((n), (2)) == 0 || FLOW_CHECKED_MOD((n), (3)) == 0)) {
return 0;
}
int64_t i = 5;
while ((i * i) <= n) {
if ((FLOW_CHECKED_MOD((n), (i)) == 0 || FLOW_CHECKED_MOD((n), ((i + 2))) == 0)) {
return 0;
}
i = (i + 6);
}
return 1;
}
int32_t main(void) {
int32_t length = 20;
int64_t mod = 1000000000;
int32_t max_s = (81 * length);
int64_t* sqsum = (int64_t*)(calloc((((int64_t)((length + 1))) * ((int64_t)((max_s + 1)))), 8));
int64_t* count = (int64_t*)(calloc((((int64_t)((length + 1))) * ((int64_t)((max_s + 1)))), 8));
if ((sqsum == NULL || count == NULL)) {
return 1;
}
count[0] = 1;
int32_t i = 1;
while (i <= length) {
int32_t j = 0;
while (j < 10) {
int32_t j2 = (j * j);
int32_t k = 0;
while ((k + j2) <= max_s) {
int64_t idx = ((((int64_t)(i)) * ((int64_t)((max_s + 1)))) + ((int64_t)((k + j2))));
int64_t prev = ((((int64_t)((i - 1))) * ((int64_t)((max_s + 1)))) + ((int64_t)(k)));
int64_t add = FLOW_CHECKED_MOD(((sqsum[prev] + FLOW_CHECKED_MOD(((FLOW_CHECKED_MOD(((mod_pow_i64_i64_i64(10, ((int64_t)((i - 1))), mod) * ((int64_t)(j)))), (mod)) * count[prev])), (mod)))), (mod));
sqsum[idx] = FLOW_CHECKED_MOD(((sqsum[idx] + add)), (mod));
count[idx] = FLOW_CHECKED_MOD(((count[idx] + count[prev])), (mod));
k = (k + 1);
}
j = (j + 1);
}
i = (i + 1);
}
int64_t ans = 0;
int64_t max_root = isqrt_i64(((int64_t)(max_s)));
int64_t r = 1;
while (r <= max_root) {
int64_t s = (r * r);
int64_t idx = ((((int64_t)(length)) * ((int64_t)((max_s + 1)))) + s);
ans = FLOW_CHECKED_MOD(((ans + sqsum[idx])), (mod));
r = (r + 1);
}
printf("%lld\n", ans);
free(sqsum);
free(count);
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 @gcd(%arg0: i64, %arg1: i64) -> i64 {
%0 = llvm.mlir.constant(1 : i64) : i64
%1 = llvm.alloca %0 x i64 : (i64) -> !llvm.ptr
llvm.store %arg0, %1 : i64, !llvm.ptr
%2 = llvm.mlir.constant(1 : i64) : i64
%3 = llvm.alloca %2 x i64 : (i64) -> !llvm.ptr
llvm.store %arg1, %3 : i64, !llvm.ptr
cf.br ^bb0
^bb0:
%4 = llvm.load %3 : !llvm.ptr -> i64
%5 = arith.constant 0 : i32
%7 = arith.extsi %5 : i32 to i64
%6 = arith.cmpi ne, %4, %7 : i64
cf.cond_br %6, ^bb1, ^bb2
^bb1:
%8 = llvm.load %1 : !llvm.ptr -> i64
%9 = llvm.load %3 : !llvm.ptr -> i64
%10 = arith.remsi %8, %9 : i64
%11 = llvm.load %3 : !llvm.ptr -> i64
llvm.store %11, %1 : i64, !llvm.ptr
llvm.store %10, %3 : i64, !llvm.ptr
cf.br ^bb0
^bb2:
%12 = llvm.load %1 : !llvm.ptr -> i64
func.return %12 : i64
}
func.func @lcm(%arg0: i64, %arg1: i64) -> i64 {
%13 = arith.constant 0 : i32
%15 = arith.extsi %13 : i32 to i64
%14 = arith.cmpi eq, %arg0, %15 : i64
%16 = scf.if %14 -> (i1) {
%17 = arith.constant true
scf.yield %17 : i1
} else {
%18 = arith.constant 0 : i32
%20 = arith.extsi %18 : i32 to i64
%19 = arith.cmpi eq, %arg1, %20 : i64
scf.yield %19 : i1
}
cf.cond_br %16, ^bb3, ^bb4
^bb3:
%21 = arith.constant 0 : i32
%22 = arith.extsi %21 : i32 to i64
func.return %22 : i64
^bb4:
cf.br ^bb5
^bb5:
%23 = func.call @gcd(%arg0, %arg1) : (i64, i64) -> i64
%24 = arith.divsi %arg0, %23 : i64
%25 = arith.muli %24, %arg1 : i64
func.return %25 : i64
}
func.func @isqrt(%arg0: i64) -> i64 {
%26 = arith.constant 2 : i32
%28 = arith.extsi %26 : i32 to i64
%27 = arith.cmpi slt, %arg0, %28 : i64
cf.cond_br %27, ^bb6, ^bb7
^bb6:
func.return %arg0 : i64
^bb7:
cf.br ^bb8
^bb8:
%29 = llvm.mlir.constant(1 : i64) : i64
%30 = llvm.alloca %29 x i64 : (i64) -> !llvm.ptr
llvm.store %arg0, %30 : i64, !llvm.ptr
%31 = llvm.load %30 : !llvm.ptr -> i64
%32 = arith.constant 1 : i32
%34 = arith.extsi %32 : i32 to i64
%33 = arith.addi %31, %34 : i64
%35 = arith.constant 2 : i32
%37 = arith.extsi %35 : i32 to i64
%36 = arith.divsi %33, %37 : i64
%38 = llvm.mlir.constant(1 : i64) : i64
%39 = llvm.alloca %38 x i64 : (i64) -> !llvm.ptr
llvm.store %36, %39 : i64, !llvm.ptr
cf.br ^bb9
^bb9:
%40 = llvm.load %39 : !llvm.ptr -> i64
%41 = llvm.load %30 : !llvm.ptr -> i64
%42 = arith.cmpi slt, %40, %41 : i64
cf.cond_br %42, ^bb10, ^bb11
^bb10:
%43 = llvm.load %39 : !llvm.ptr -> i64
llvm.store %43, %30 : i64, !llvm.ptr
%44 = llvm.load %30 : !llvm.ptr -> i64
%45 = llvm.load %30 : !llvm.ptr -> i64
%46 = arith.divsi %arg0, %45 : i64
%47 = arith.addi %44, %46 : i64
%48 = arith.constant 2 : i32
%50 = arith.extsi %48 : i32 to i64
%49 = arith.divsi %47, %50 : i64
llvm.store %49, %39 : i64, !llvm.ptr
cf.br ^bb9
^bb11:
%51 = llvm.load %30 : !llvm.ptr -> i64
func.return %51 : i64
}
func.func @mulmod(%arg0: i64, %arg1: i64, %arg2: i64) -> i64 {
%52 = arith.remsi %arg0, %arg2 : i64
%53 = llvm.mlir.constant(1 : i64) : i64
%54 = llvm.alloca %53 x i64 : (i64) -> !llvm.ptr
llvm.store %52, %54 : i64, !llvm.ptr
%55 = arith.remsi %arg1, %arg2 : i64
%56 = llvm.mlir.constant(1 : i64) : i64
%57 = llvm.alloca %56 x i64 : (i64) -> !llvm.ptr
llvm.store %55, %57 : i64, !llvm.ptr
%58 = arith.constant 0 : i32
%59 = arith.extsi %58 : i32 to i64
%60 = llvm.mlir.constant(1 : i64) : i64
%61 = llvm.alloca %60 x i64 : (i64) -> !llvm.ptr
llvm.store %59, %61 : i64, !llvm.ptr
cf.br ^bb12
^bb12:
%62 = llvm.load %57 : !llvm.ptr -> i64
%63 = arith.constant 0 : i32
%65 = arith.extsi %63 : i32 to i64
%64 = arith.cmpi sgt, %62, %65 : i64
cf.cond_br %64, ^bb13, ^bb14
^bb13:
%66 = llvm.load %57 : !llvm.ptr -> i64
%67 = arith.constant 2 : i32
%69 = arith.extsi %67 : i32 to i64
%68 = arith.remsi %66, %69 : i64
%70 = arith.constant 1 : i32
%72 = arith.extsi %70 : i32 to i64
%71 = arith.cmpi eq, %68, %72 : i64
cf.cond_br %71, ^bb15, ^bb16
^bb15:
%73 = llvm.load %61 : !llvm.ptr -> i64
%74 = llvm.load %54 : !llvm.ptr -> i64
%75 = arith.addi %73, %74 : i64
%76 = arith.remsi %75, %arg2 : i64
llvm.store %76, %61 : i64, !llvm.ptr
cf.br ^bb17
^bb16:
cf.br ^bb17
^bb17:
%77 = llvm.load %54 : !llvm.ptr -> i64
%78 = arith.constant 2 : i32
%80 = arith.extsi %78 : i32 to i64
%79 = arith.muli %77, %80 : i64
%81 = arith.remsi %79, %arg2 : i64
llvm.store %81, %54 : i64, !llvm.ptr
%82 = llvm.load %57 : !llvm.ptr -> i64
%83 = arith.constant 2 : i32
%85 = arith.extsi %83 : i32 to i64
%84 = arith.divsi %82, %85 : i64
llvm.store %84, %57 : i64, !llvm.ptr
cf.br ^bb12
^bb14:
%86 = llvm.load %61 : !llvm.ptr -> i64
func.return %86 : i64
}
func.func @mod_pow(%arg0: i64, %arg1: i64, %arg2: i64) -> i64 {
%87 = arith.constant 1 : i32
%89 = arith.extsi %87 : i32 to i64
%88 = arith.cmpi eq, %arg2, %89 : i64
cf.cond_br %88, ^bb18, ^bb19
^bb18:
%90 = arith.constant 0 : i32
%91 = arith.extsi %90 : i32 to i64
func.return %91 : i64
^bb19:
cf.br ^bb20
^bb20:
%92 = arith.constant 1 : i32
%93 = arith.extsi %92 : i32 to i64
%94 = llvm.mlir.constant(1 : i64) : i64
%95 = llvm.alloca %94 x i64 : (i64) -> !llvm.ptr
llvm.store %93, %95 : i64, !llvm.ptr
%96 = arith.remsi %arg0, %arg2 : i64
%97 = llvm.mlir.constant(1 : i64) : i64
%98 = llvm.alloca %97 x i64 : (i64) -> !llvm.ptr
llvm.store %96, %98 : i64, !llvm.ptr
%99 = llvm.mlir.constant(1 : i64) : i64
%100 = llvm.alloca %99 x i64 : (i64) -> !llvm.ptr
llvm.store %arg1, %100 : i64, !llvm.ptr
cf.br ^bb21
^bb21:
%101 = llvm.load %100 : !llvm.ptr -> i64
%102 = arith.constant 0 : i32
%104 = arith.extsi %102 : i32 to i64
%103 = arith.cmpi sgt, %101, %104 : i64
cf.cond_br %103, ^bb22, ^bb23
^bb22:
%105 = llvm.load %100 : !llvm.ptr -> i64
%106 = arith.constant 2 : i32
%108 = arith.extsi %106 : i32 to i64
%107 = arith.remsi %105, %108 : i64
%109 = arith.constant 1 : i32
%111 = arith.extsi %109 : i32 to i64
%110 = arith.cmpi eq, %107, %111 : i64
cf.cond_br %110, ^bb24, ^bb25
^bb24:
%113 = llvm.load %95 : !llvm.ptr -> i64
%114 = llvm.load %98 : !llvm.ptr -> i64
%112 = func.call @mulmod(%113, %114, %arg2) : (i64, i64, i64) -> i64
llvm.store %112, %95 : i64, !llvm.ptr
cf.br ^bb26
^bb25:
cf.br ^bb26
^bb26:
%116 = llvm.load %98 : !llvm.ptr -> i64
%117 = llvm.load %98 : !llvm.ptr -> i64
%115 = func.call @mulmod(%116, %117, %arg2) : (i64, i64, i64) -> i64
llvm.store %115, %98 : i64, !llvm.ptr
%118 = llvm.load %100 : !llvm.ptr -> i64
%119 = arith.constant 2 : i32
%121 = arith.extsi %119 : i32 to i64
%120 = arith.divsi %118, %121 : i64
llvm.store %120, %100 : i64, !llvm.ptr
cf.br ^bb21
^bb23:
%122 = llvm.load %95 : !llvm.ptr -> i64
func.return %122 : i64
}
func.func @is_prime(%arg0: i64) -> i1 {
%123 = arith.constant 2 : i32
%125 = arith.extsi %123 : i32 to i64
%124 = arith.cmpi slt, %arg0, %125 : i64
cf.cond_br %124, ^bb27, ^bb28
^bb27:
%126 = arith.constant 0 : i1
func.return %126 : i1
^bb28:
cf.br ^bb29
^bb29:
%127 = arith.constant 4 : i32
%129 = arith.extsi %127 : i32 to i64
%128 = arith.cmpi slt, %arg0, %129 : i64
cf.cond_br %128, ^bb30, ^bb31
^bb30:
%130 = arith.constant 1 : i1
func.return %130 : i1
^bb31:
cf.br ^bb32
^bb32:
%131 = arith.constant 2 : i32
%133 = arith.extsi %131 : i32 to i64
%132 = arith.remsi %arg0, %133 : i64
%134 = arith.constant 0 : i32
%136 = arith.extsi %134 : i32 to i64
%135 = arith.cmpi eq, %132, %136 : i64
%137 = scf.if %135 -> (i1) {
%138 = arith.constant true
scf.yield %138 : i1
} else {
%139 = arith.constant 3 : i32
%141 = arith.extsi %139 : i32 to i64
%140 = arith.remsi %arg0, %141 : i64
%142 = arith.constant 0 : i32
%144 = arith.extsi %142 : i32 to i64
%143 = arith.cmpi eq, %140, %144 : i64
scf.yield %143 : i1
}
cf.cond_br %137, ^bb33, ^bb34
^bb33:
%145 = arith.constant 0 : i1
func.return %145 : i1
^bb34:
cf.br ^bb35
^bb35:
%146 = arith.constant 5 : i32
%147 = arith.extsi %146 : i32 to i64
%148 = llvm.mlir.constant(1 : i64) : i64
%149 = llvm.alloca %148 x i64 : (i64) -> !llvm.ptr
llvm.store %147, %149 : i64, !llvm.ptr
cf.br ^bb36
^bb36:
%150 = llvm.load %149 : !llvm.ptr -> i64
%151 = llvm.load %149 : !llvm.ptr -> i64
%152 = arith.muli %150, %151 : i64
%153 = arith.cmpi sle, %152, %arg0 : i64
cf.cond_br %153, ^bb37, ^bb38
^bb37:
%154 = llvm.load %149 : !llvm.ptr -> i64
%155 = arith.remsi %arg0, %154 : i64
%156 = arith.constant 0 : i32
%158 = arith.extsi %156 : i32 to i64
%157 = arith.cmpi eq, %155, %158 : i64
%159 = scf.if %157 -> (i1) {
%160 = arith.constant true
scf.yield %160 : i1
} else {
%161 = llvm.load %149 : !llvm.ptr -> i64
%162 = arith.constant 2 : i32
%164 = arith.extsi %162 : i32 to i64
%163 = arith.addi %161, %164 : i64
%165 = arith.remsi %arg0, %163 : i64
%166 = arith.constant 0 : i32
%168 = arith.extsi %166 : i32 to i64
%167 = arith.cmpi eq, %165, %168 : i64
scf.yield %167 : i1
}
cf.cond_br %159, ^bb39, ^bb40
^bb39:
%169 = arith.constant 0 : i1
func.return %169 : i1
^bb40:
cf.br ^bb41
^bb41:
%170 = llvm.load %149 : !llvm.ptr -> i64
%171 = arith.constant 6 : i32
%173 = arith.extsi %171 : i32 to i64
%172 = arith.addi %170, %173 : i64
llvm.store %172, %149 : i64, !llvm.ptr
cf.br ^bb36
^bb38:
%174 = arith.constant 1 : i1
func.return %174 : i1
}
func.func private @calloc(i64, i64) -> !llvm.ptr
func.func private @free(!llvm.ptr) -> ()
func.func @main() -> i32 {
%175 = arith.constant 20 : i32
%176 = arith.constant 1000000000 : i32
%177 = arith.extsi %176 : i32 to i64
%178 = arith.constant 81 : i32
%179 = arith.muli %178, %175 : i32
%181 = arith.constant 1 : i32
%182 = arith.addi %175, %181 : i32
%183 = arith.extsi %182 : i32 to i64
%184 = arith.constant 1 : i32
%185 = arith.addi %179, %184 : i32
%186 = arith.extsi %185 : i32 to i64
%187 = arith.muli %183, %186 : i64
%188 = arith.constant 8 : i32
%189 = arith.extsi %188 : i32 to i64
%180 = func.call @calloc(%187, %189) : (i64, i64) -> !llvm.ptr
%191 = arith.constant 1 : i32
%192 = arith.addi %175, %191 : i32
%193 = arith.extsi %192 : i32 to i64
%194 = arith.constant 1 : i32
%195 = arith.addi %179, %194 : i32
%196 = arith.extsi %195 : i32 to i64
%197 = arith.muli %193, %196 : i64
%198 = arith.constant 8 : i32
%199 = arith.extsi %198 : i32 to i64
%190 = func.call @calloc(%197, %199) : (i64, i64) -> !llvm.ptr
%200 = llvm.mlir.zero : !llvm.ptr
%201 = llvm.icmp "eq" %180, %200 : !llvm.ptr
%202 = scf.if %201 -> (i1) {
%203 = arith.constant true
scf.yield %203 : i1
} else {
%204 = llvm.mlir.zero : !llvm.ptr
%205 = llvm.icmp "eq" %190, %204 : !llvm.ptr
scf.yield %205 : i1
}
cf.cond_br %202, ^bb42, ^bb43
^bb42:
%206 = arith.constant 1 : i32
func.return %206 : i32
^bb43:
cf.br ^bb44
^bb44:
%207 = arith.constant 1 : i32
%208 = arith.constant 0 : i32
%209 = arith.extsi %207 : i32 to i64
%210 = arith.extsi %208 : i32 to i64
%211 = llvm.getelementptr %190[%210] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %209, %211 : i64, !llvm.ptr
%212 = arith.constant 1 : i32
%213 = llvm.mlir.constant(1 : i64) : i64
%214 = llvm.alloca %213 x i32 : (i64) -> !llvm.ptr
llvm.store %212, %214 : i32, !llvm.ptr
cf.br ^bb45
^bb45:
%215 = llvm.load %214 : !llvm.ptr -> i32
%216 = arith.cmpi sle, %215, %175 : i32
cf.cond_br %216, ^bb46, ^bb47
^bb46:
%217 = arith.constant 0 : i32
%218 = llvm.mlir.constant(1 : i64) : i64
%219 = llvm.alloca %218 x i32 : (i64) -> !llvm.ptr
llvm.store %217, %219 : i32, !llvm.ptr
cf.br ^bb48
^bb48:
%220 = llvm.load %219 : !llvm.ptr -> i32
%221 = arith.constant 10 : i32
%222 = arith.cmpi slt, %220, %221 : i32
cf.cond_br %222, ^bb49, ^bb50
^bb49:
%223 = llvm.load %219 : !llvm.ptr -> i32
%224 = llvm.load %219 : !llvm.ptr -> i32
%225 = arith.muli %223, %224 : i32
%226 = arith.constant 0 : i32
%227 = llvm.mlir.constant(1 : i64) : i64
%228 = llvm.alloca %227 x i32 : (i64) -> !llvm.ptr
llvm.store %226, %228 : i32, !llvm.ptr
cf.br ^bb51
^bb51:
%229 = llvm.load %228 : !llvm.ptr -> i32
%230 = arith.addi %229, %225 : i32
%231 = arith.cmpi sle, %230, %179 : i32
cf.cond_br %231, ^bb52, ^bb53
^bb52:
%232 = llvm.load %214 : !llvm.ptr -> i32
%233 = arith.extsi %232 : i32 to i64
%234 = arith.constant 1 : i32
%235 = arith.addi %179, %234 : i32
%236 = arith.extsi %235 : i32 to i64
%237 = arith.muli %233, %236 : i64
%238 = llvm.load %228 : !llvm.ptr -> i32
%239 = arith.addi %238, %225 : i32
%240 = arith.extsi %239 : i32 to i64
%241 = arith.addi %237, %240 : i64
%242 = llvm.load %214 : !llvm.ptr -> i32
%243 = arith.constant 1 : i32
%244 = arith.subi %242, %243 : i32
%245 = arith.extsi %244 : i32 to i64
%246 = arith.constant 1 : i32
%247 = arith.addi %179, %246 : i32
%248 = arith.extsi %247 : i32 to i64
%249 = arith.muli %245, %248 : i64
%250 = llvm.load %228 : !llvm.ptr -> i32
%251 = arith.extsi %250 : i32 to i64
%252 = arith.addi %249, %251 : i64
%254 = llvm.getelementptr %180[%252] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%253 = llvm.load %254 : !llvm.ptr -> i64
%256 = arith.constant 10 : i32
%257 = llvm.load %214 : !llvm.ptr -> i32
%258 = arith.constant 1 : i32
%259 = arith.subi %257, %258 : i32
%260 = arith.extsi %259 : i32 to i64
%261 = arith.extsi %256 : i32 to i64
%255 = func.call @mod_pow(%261, %260, %177) : (i64, i64, i64) -> i64
%262 = llvm.load %219 : !llvm.ptr -> i32
%263 = arith.extsi %262 : i32 to i64
%264 = arith.muli %255, %263 : i64
%265 = arith.remsi %264, %177 : i64
%267 = llvm.getelementptr %190[%252] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%266 = llvm.load %267 : !llvm.ptr -> i64
%268 = arith.muli %265, %266 : i64
%269 = arith.remsi %268, %177 : i64
%270 = arith.addi %253, %269 : i64
%271 = arith.remsi %270, %177 : i64
%273 = llvm.getelementptr %180[%241] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%272 = llvm.load %273 : !llvm.ptr -> i64
%274 = arith.addi %272, %271 : i64
%275 = arith.remsi %274, %177 : i64
%276 = llvm.getelementptr %180[%241] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %275, %276 : i64, !llvm.ptr
%278 = llvm.getelementptr %190[%241] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%277 = llvm.load %278 : !llvm.ptr -> i64
%280 = llvm.getelementptr %190[%252] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%279 = llvm.load %280 : !llvm.ptr -> i64
%281 = arith.addi %277, %279 : i64
%282 = arith.remsi %281, %177 : i64
%283 = llvm.getelementptr %190[%241] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %282, %283 : i64, !llvm.ptr
%284 = llvm.load %228 : !llvm.ptr -> i32
%285 = arith.constant 1 : i32
%286 = arith.addi %284, %285 : i32
llvm.store %286, %228 : i32, !llvm.ptr
cf.br ^bb51
^bb53:
%287 = llvm.load %219 : !llvm.ptr -> i32
%288 = arith.constant 1 : i32
%289 = arith.addi %287, %288 : i32
llvm.store %289, %219 : i32, !llvm.ptr
cf.br ^bb48
^bb50:
%290 = llvm.load %214 : !llvm.ptr -> i32
%291 = arith.constant 1 : i32
%292 = arith.addi %290, %291 : i32
llvm.store %292, %214 : i32, !llvm.ptr
cf.br ^bb45
^bb47:
%293 = arith.constant 0 : i32
%294 = arith.extsi %293 : i32 to i64
%295 = llvm.mlir.constant(1 : i64) : i64
%296 = llvm.alloca %295 x i64 : (i64) -> !llvm.ptr
llvm.store %294, %296 : i64, !llvm.ptr
%298 = arith.extsi %179 : i32 to i64
%297 = func.call @isqrt(%298) : (i64) -> i64
%299 = arith.constant 1 : i32
%300 = arith.extsi %299 : i32 to i64
%301 = llvm.mlir.constant(1 : i64) : i64
%302 = llvm.alloca %301 x i64 : (i64) -> !llvm.ptr
llvm.store %300, %302 : i64, !llvm.ptr
cf.br ^bb54
^bb54:
%303 = llvm.load %302 : !llvm.ptr -> i64
%304 = arith.cmpi sle, %303, %297 : i64
cf.cond_br %304, ^bb55, ^bb56
^bb55:
%305 = llvm.load %302 : !llvm.ptr -> i64
%306 = llvm.load %302 : !llvm.ptr -> i64
%307 = arith.muli %305, %306 : i64
%308 = arith.extsi %175 : i32 to i64
%309 = arith.constant 1 : i32
%310 = arith.addi %179, %309 : i32
%311 = arith.extsi %310 : i32 to i64
%312 = arith.muli %308, %311 : i64
%313 = arith.addi %312, %307 : i64
%314 = llvm.load %296 : !llvm.ptr -> i64
%316 = llvm.getelementptr %180[%313] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%315 = llvm.load %316 : !llvm.ptr -> i64
%317 = arith.addi %314, %315 : i64
%318 = arith.remsi %317, %177 : i64
llvm.store %318, %296 : i64, !llvm.ptr
%319 = llvm.load %302 : !llvm.ptr -> i64
%320 = arith.constant 1 : i32
%322 = arith.extsi %320 : i32 to i64
%321 = arith.addi %319, %322 : i64
llvm.store %321, %302 : i64, !llvm.ptr
cf.br ^bb54
^bb56:
%323 = llvm.mlir.addressof @str_0 : !llvm.ptr
%324 = llvm.load %296 : !llvm.ptr -> i64
%325 = llvm.call @printf(%323, %324) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
func.call @free(%180) : (!llvm.ptr) -> ()
func.call @free(%190) : (!llvm.ptr) -> ()
%328 = arith.constant 0 : i32
func.return %328 : i32
}
}