Problem 571

Super Pandigital Numbers Sum of the first 10 12-super-pandigital numbers (pandigital in bases 2..12).

View problem on Project Euler

Performance comparison

Flow source

# Project Euler 571
# Super Pandigital Numbers
# Sum of the first 10 12-super-pandigital numbers (pandigital in bases 2..12).

extern {
    function calloc(n: i64, size: i64) -> ptr<void>
    function free(p: ptr<void>) -> void
}

const BASE: i64 = 12
const NEED: i64 = 10

let mut DIGITS: ptr<i64> = null
let mut USED: ptr<i8> = null
let mut FOUND: i64 = 0
let mut TOTAL: i64 = 0

function is_pandigital(number0: i64, base: i64, all_bits: i64) -> i32 {
    let mut number: i64 = number0
    let mut used: i64 = 0
    while number > 0 {
        let digit: i64 = number % base
        used = used | (1 << digit)
        if used == all_bits { return 1 }
        number = number / base
    }
    if used == all_bits { return 1 }
    return 0
}

function is_pandigital_base8(number0: i64) -> i32 {
    let mut number: i64 = number0
    let mut used: i64 = 0
    while number > 0 {
        used = used | (1 << (number & 7))
        if used == 255 { return 1 }
        number = number >> 3
    }
    if used == 255 { return 1 }
    return 0
}

function check(current: i64) -> i32 {
    if is_pandigital_base8(current) == 0 { return 0 }
    let mut b: i64 = 11
    while b >= 2 {
        if b != 8 {
            let all_bits: i64 = (1 << b) - 1
            if is_pandigital(current, b, all_bits) == 0 { return 0 }
        }
        b = b - 1
    }
    return 1
}

function dfs(pos: i64, current: i64) -> void {
    if FOUND >= NEED { return }
    if pos == BASE {
        if check(current) != 0 {
            TOTAL = TOTAL + current
            FOUND = FOUND + 1
        }
        return
    }
    let mut d: i64 = 0
    while d < BASE {
        if USED[d] == 0 {
            USED[d] = 1
            dfs(pos + 1, current * BASE + d)
            USED[d] = 0
            if FOUND >= NEED { return }
        }
        d = d + 1
    }
}

function main() -> i32 {
    DIGITS = calloc(BASE, 8)
    USED = calloc(BASE, 1)
    if DIGITS == null || USED == null { return 1 }

    let mut first: i64 = 1
    while first < BASE {
        if FOUND >= NEED { break }
        USED[first] = 1
        dfs(1, first)
        USED[first] = 0
        first = first + 1
    }

    printf("%lld\n", TOTAL)
    free(DIGITS)
    free(USED)
    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; }

int32_t is_pandigital_i64_i64_i64(int64_t number0, int64_t base, int64_t all_bits);
int32_t is_pandigital_base8_i64(int64_t number0);
int32_t check_i64(int64_t current);
void dfs_i64_i64(int64_t pos, int64_t current);
int32_t main(void);

static const int64_t BASE = 12;
static const int64_t NEED = 10;

/* Module statics */
static int64_t* DIGITS = NULL;
static int8_t* USED = NULL;
static int64_t FOUND = 0;
static int64_t TOTAL = 0;



int32_t is_pandigital_i64_i64_i64(int64_t number0, int64_t base, int64_t all_bits) {
    int64_t number = number0;
    int64_t used = 0;
    while (number > 0) {
        int64_t digit = FLOW_CHECKED_MOD((number), (base));
        used = (used | FLOW_CHECKED_SHL((1), (digit)));
        if (used == all_bits) {
            return 1;
        }
        number = FLOW_CHECKED_DIV((number), (base));
    }
    if (used == all_bits) {
        return 1;
    }
    return 0;
}

int32_t is_pandigital_base8_i64(int64_t number0) {
    int64_t number = number0;
    int64_t used = 0;
    while (number > 0) {
        used = (used | FLOW_CHECKED_SHL((1), ((number & 7))));
        if (used == 255) {
            return 1;
        }
        number = FLOW_CHECKED_SHR((number), (3));
    }
    if (used == 255) {
        return 1;
    }
    return 0;
}

int32_t check_i64(int64_t current) {
    if (is_pandigital_base8_i64(current) == 0) {
        return 0;
    }
    int64_t b = 11;
    while (b >= 2) {
        if (b != 8) {
            int64_t all_bits = (FLOW_CHECKED_SHL((1), (b)) - 1);
            if (is_pandigital_i64_i64_i64(current, b, all_bits) == 0) {
                return 0;
            }
        }
        b = (b - 1);
    }
    return 1;
}

void dfs_i64_i64(int64_t pos, int64_t current) {
    if (FOUND >= NEED) {
        return;
    }
    if (pos == BASE) {
        if (check_i64(current) != 0) {
            TOTAL = (TOTAL + current);
            FOUND = (FOUND + 1);
        }
        return;
    }
    int64_t d = 0;
    while (d < BASE) {
        if (USED[d] == 0) {
            USED[d] = 1;
            dfs_i64_i64((pos + 1), ((current * BASE) + d));
            USED[d] = 0;
            if (FOUND >= NEED) {
                return;
            }
        }
        d = (d + 1);
    }
}

int32_t main(void) {
    DIGITS = calloc(BASE, 8);
    USED = calloc(BASE, 1);
    if ((DIGITS == NULL || USED == NULL)) {
        return 1;
    }
    int64_t first = 1;
    while (first < BASE) {
        if (FOUND >= NEED) {
            break;
        }
        USED[first] = 1;
        dfs_i64_i64(1, first);
        USED[first] = 0;
        first = (first + 1);
    }
    printf("%lld\n", TOTAL);
    free(DIGITS);
    free(USED);
    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) -> ()
  // Constant: BASE
  llvm.mlir.global internal constant @BASE(12 : i64) : i64
  // Constant: NEED
  llvm.mlir.global internal constant @NEED(10 : i64) : i64
  // Module static: DIGITS
  llvm.mlir.global internal @DIGITS() {addr_space = 0 : i32} : !llvm.ptr {
    %0 = llvm.mlir.zero : !llvm.ptr
    llvm.return %0 : !llvm.ptr
  }
  // Module static: USED
  llvm.mlir.global internal @USED() {addr_space = 0 : i32} : !llvm.ptr {
    %1 = llvm.mlir.zero : !llvm.ptr
    llvm.return %1 : !llvm.ptr
  }
  // Module static: FOUND
  llvm.mlir.global internal @FOUND(0 : i64) : i64
  // Module static: TOTAL
  llvm.mlir.global internal @TOTAL(0 : i64) : i64
  func.func @is_pandigital(%arg0: i64, %arg1: i64, %arg2: i64) -> i32 {
    %2 = llvm.mlir.constant(1 : i64) : i64
    %3 = llvm.alloca %2 x i64 : (i64) -> !llvm.ptr
    llvm.store %arg0, %3 : i64, !llvm.ptr
    %4 = arith.constant 0 : i32
    %5 = arith.extsi %4 : i32 to i64
    %6 = llvm.mlir.constant(1 : i64) : i64
    %7 = llvm.alloca %6 x i64 : (i64) -> !llvm.ptr
    llvm.store %5, %7 : i64, !llvm.ptr
    cf.br ^bb0
    ^bb0:
    %8 = llvm.load %3 : !llvm.ptr -> i64
    %9 = arith.constant 0 : i32
    %11 = arith.extsi %9 : i32 to i64
    %10 = arith.cmpi sgt, %8, %11 : i64
    cf.cond_br %10, ^bb1, ^bb2
    ^bb1:
      %12 = llvm.load %3 : !llvm.ptr -> i64
      %13 = arith.remsi %12, %arg1 : i64
      %14 = llvm.load %7 : !llvm.ptr -> i64
      %15 = arith.constant 1 : i32
      %17 = arith.extsi %15 : i32 to i64
      %16 = arith.shli %17, %13 : i64
      %18 = arith.ori %14, %16 : i64
      llvm.store %18, %7 : i64, !llvm.ptr
      %19 = llvm.load %7 : !llvm.ptr -> i64
      %20 = arith.cmpi eq, %19, %arg2 : i64
      cf.cond_br %20, ^bb3, ^bb4
      ^bb3:
        %21 = arith.constant 1 : i32
        func.return %21 : i32
      ^bb4:
        cf.br ^bb5
      ^bb5:
      %22 = llvm.load %3 : !llvm.ptr -> i64
      %23 = arith.divsi %22, %arg1 : i64
      llvm.store %23, %3 : i64, !llvm.ptr
      cf.br ^bb0
    ^bb2:
    %24 = llvm.load %7 : !llvm.ptr -> i64
    %25 = arith.cmpi eq, %24, %arg2 : i64
    cf.cond_br %25, ^bb6, ^bb7
    ^bb6:
      %26 = arith.constant 1 : i32
      func.return %26 : i32
    ^bb7:
      cf.br ^bb8
    ^bb8:
    %27 = arith.constant 0 : i32
    func.return %27 : i32
  }
  func.func @is_pandigital_base8(%arg0: i64) -> i32 {
    %28 = llvm.mlir.constant(1 : i64) : i64
    %29 = llvm.alloca %28 x i64 : (i64) -> !llvm.ptr
    llvm.store %arg0, %29 : i64, !llvm.ptr
    %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 %29 : !llvm.ptr -> i64
    %35 = arith.constant 0 : i32
    %37 = arith.extsi %35 : i32 to i64
    %36 = arith.cmpi sgt, %34, %37 : i64
    cf.cond_br %36, ^bb10, ^bb11
    ^bb10:
      %38 = llvm.load %33 : !llvm.ptr -> i64
      %39 = arith.constant 1 : i32
      %40 = llvm.load %29 : !llvm.ptr -> i64
      %41 = arith.constant 7 : i32
      %43 = arith.extsi %41 : i32 to i64
      %42 = arith.andi %40, %43 : i64
      %45 = arith.extsi %39 : i32 to i64
      %44 = arith.shli %45, %42 : i64
      %46 = arith.ori %38, %44 : i64
      llvm.store %46, %33 : i64, !llvm.ptr
      %47 = llvm.load %33 : !llvm.ptr -> i64
      %48 = arith.constant 255 : i32
      %50 = arith.extsi %48 : i32 to i64
      %49 = arith.cmpi eq, %47, %50 : i64
      cf.cond_br %49, ^bb12, ^bb13
      ^bb12:
        %51 = arith.constant 1 : i32
        func.return %51 : i32
      ^bb13:
        cf.br ^bb14
      ^bb14:
      %52 = llvm.load %29 : !llvm.ptr -> i64
      %53 = arith.constant 3 : i32
      %55 = arith.extsi %53 : i32 to i64
      %54 = arith.shrsi %52, %55 : i64
      llvm.store %54, %29 : i64, !llvm.ptr
      cf.br ^bb9
    ^bb11:
    %56 = llvm.load %33 : !llvm.ptr -> i64
    %57 = arith.constant 255 : i32
    %59 = arith.extsi %57 : i32 to i64
    %58 = arith.cmpi eq, %56, %59 : i64
    cf.cond_br %58, ^bb15, ^bb16
    ^bb15:
      %60 = arith.constant 1 : i32
      func.return %60 : i32
    ^bb16:
      cf.br ^bb17
    ^bb17:
    %61 = arith.constant 0 : i32
    func.return %61 : i32
  }
  func.func @check(%arg0: i64) -> i32 {
    %62 = func.call @is_pandigital_base8(%arg0) : (i64) -> i32
    %63 = arith.constant 0 : i32
    %64 = arith.cmpi eq, %62, %63 : i32
    cf.cond_br %64, ^bb18, ^bb19
    ^bb18:
      %65 = arith.constant 0 : i32
      func.return %65 : i32
    ^bb19:
      cf.br ^bb20
    ^bb20:
    %66 = arith.constant 11 : i32
    %67 = arith.extsi %66 : i32 to i64
    %68 = llvm.mlir.constant(1 : i64) : i64
    %69 = llvm.alloca %68 x i64 : (i64) -> !llvm.ptr
    llvm.store %67, %69 : i64, !llvm.ptr
    cf.br ^bb21
    ^bb21:
    %70 = llvm.load %69 : !llvm.ptr -> i64
    %71 = arith.constant 2 : i32
    %73 = arith.extsi %71 : i32 to i64
    %72 = arith.cmpi sge, %70, %73 : i64
    cf.cond_br %72, ^bb22, ^bb23
    ^bb22:
      %74 = llvm.load %69 : !llvm.ptr -> i64
      %75 = arith.constant 8 : i32
      %77 = arith.extsi %75 : i32 to i64
      %76 = arith.cmpi ne, %74, %77 : i64
      cf.cond_br %76, ^bb24, ^bb25
      ^bb24:
        %78 = arith.constant 1 : i32
        %79 = llvm.load %69 : !llvm.ptr -> i64
        %81 = arith.extsi %78 : i32 to i64
        %80 = arith.shli %81, %79 : i64
        %82 = arith.constant 1 : i32
        %84 = arith.extsi %82 : i32 to i64
        %83 = arith.subi %80, %84 : i64
        %86 = llvm.load %69 : !llvm.ptr -> i64
        %85 = func.call @is_pandigital(%arg0, %86, %83) : (i64, i64, i64) -> i32
        %87 = arith.constant 0 : i32
        %88 = arith.cmpi eq, %85, %87 : i32
        cf.cond_br %88, ^bb27, ^bb28
        ^bb27:
          %89 = arith.constant 0 : i32
          func.return %89 : i32
        ^bb28:
          cf.br ^bb29
        ^bb29:
        cf.br ^bb26
      ^bb25:
        cf.br ^bb26
      ^bb26:
      %90 = llvm.load %69 : !llvm.ptr -> i64
      %91 = arith.constant 1 : i32
      %93 = arith.extsi %91 : i32 to i64
      %92 = arith.subi %90, %93 : i64
      llvm.store %92, %69 : i64, !llvm.ptr
      cf.br ^bb21
    ^bb23:
    %94 = arith.constant 1 : i32
    func.return %94 : i32
  }
  func.func @dfs(%arg0: i64, %arg1: i64) -> () {
    %95 = llvm.mlir.addressof @FOUND : !llvm.ptr
    %96 = llvm.load %95 : !llvm.ptr -> i64
    %97 = llvm.mlir.addressof @NEED : !llvm.ptr
    %98 = llvm.load %97 : !llvm.ptr -> i64
    %99 = arith.cmpi sge, %96, %98 : i64
    cf.cond_br %99, ^bb30, ^bb31
    ^bb30:
      func.return
    ^bb31:
      cf.br ^bb32
    ^bb32:
    %100 = llvm.mlir.addressof @BASE : !llvm.ptr
    %101 = llvm.load %100 : !llvm.ptr -> i64
    %102 = arith.cmpi eq, %arg0, %101 : i64
    cf.cond_br %102, ^bb33, ^bb34
    ^bb33:
      %103 = func.call @check(%arg1) : (i64) -> i32
      %104 = arith.constant 0 : i32
      %105 = arith.cmpi ne, %103, %104 : i32
      cf.cond_br %105, ^bb36, ^bb37
      ^bb36:
        %106 = llvm.mlir.addressof @TOTAL : !llvm.ptr
        %107 = llvm.load %106 : !llvm.ptr -> i64
        %108 = arith.addi %107, %arg1 : i64
        %109 = llvm.mlir.addressof @TOTAL : !llvm.ptr
        llvm.store %108, %109 : i64, !llvm.ptr
        %110 = llvm.mlir.addressof @FOUND : !llvm.ptr
        %111 = llvm.load %110 : !llvm.ptr -> i64
        %112 = arith.constant 1 : i32
        %114 = arith.extsi %112 : i32 to i64
        %113 = arith.addi %111, %114 : i64
        %115 = llvm.mlir.addressof @FOUND : !llvm.ptr
        llvm.store %113, %115 : i64, !llvm.ptr
        cf.br ^bb38
      ^bb37:
        cf.br ^bb38
      ^bb38:
      func.return
    ^bb34:
      cf.br ^bb35
    ^bb35:
    %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
    cf.br ^bb39
    ^bb39:
    %120 = llvm.load %119 : !llvm.ptr -> i64
    %121 = llvm.mlir.addressof @BASE : !llvm.ptr
    %122 = llvm.load %121 : !llvm.ptr -> i64
    %123 = arith.cmpi slt, %120, %122 : i64
    cf.cond_br %123, ^bb40, ^bb41
    ^bb40:
      %125 = llvm.mlir.addressof @USED : !llvm.ptr
      %126 = llvm.load %125 : !llvm.ptr -> !llvm.ptr
      %127 = llvm.load %119 : !llvm.ptr -> i64
      %128 = llvm.getelementptr %126[%127] : (!llvm.ptr, i64) -> !llvm.ptr, i8
      %124 = llvm.load %128 : !llvm.ptr -> i8
      %129 = arith.constant 0 : i32
      %131 = arith.extsi %124 : i8 to i32
      %130 = arith.cmpi eq, %131, %129 : i32
      cf.cond_br %130, ^bb42, ^bb43
      ^bb42:
        %132 = arith.constant 1 : i32
        %133 = llvm.mlir.addressof @USED : !llvm.ptr
        %134 = llvm.load %133 : !llvm.ptr -> !llvm.ptr
        %135 = llvm.load %119 : !llvm.ptr -> i64
        %136 = arith.trunci %132 : i32 to i8
        %137 = llvm.getelementptr %134[%135] : (!llvm.ptr, i64) -> !llvm.ptr, i8
        llvm.store %136, %137 : i8, !llvm.ptr
        %139 = arith.constant 1 : i32
        %141 = arith.extsi %139 : i32 to i64
        %140 = arith.addi %arg0, %141 : i64
        %142 = llvm.mlir.addressof @BASE : !llvm.ptr
        %143 = llvm.load %142 : !llvm.ptr -> i64
        %144 = arith.muli %arg1, %143 : i64
        %145 = llvm.load %119 : !llvm.ptr -> i64
        %146 = arith.addi %144, %145 : i64
        func.call @dfs(%140, %146) : (i64, i64) -> ()
        %147 = arith.constant 0 : i32
        %148 = llvm.mlir.addressof @USED : !llvm.ptr
        %149 = llvm.load %148 : !llvm.ptr -> !llvm.ptr
        %150 = llvm.load %119 : !llvm.ptr -> i64
        %151 = arith.trunci %147 : i32 to i8
        %152 = llvm.getelementptr %149[%150] : (!llvm.ptr, i64) -> !llvm.ptr, i8
        llvm.store %151, %152 : i8, !llvm.ptr
        %153 = llvm.mlir.addressof @FOUND : !llvm.ptr
        %154 = llvm.load %153 : !llvm.ptr -> i64
        %155 = llvm.mlir.addressof @NEED : !llvm.ptr
        %156 = llvm.load %155 : !llvm.ptr -> i64
        %157 = arith.cmpi sge, %154, %156 : i64
        cf.cond_br %157, ^bb45, ^bb46
        ^bb45:
          func.return
        ^bb46:
          cf.br ^bb47
        ^bb47:
        cf.br ^bb44
      ^bb43:
        cf.br ^bb44
      ^bb44:
      %158 = llvm.load %119 : !llvm.ptr -> i64
      %159 = arith.constant 1 : i32
      %161 = arith.extsi %159 : i32 to i64
      %160 = arith.addi %158, %161 : i64
      llvm.store %160, %119 : i64, !llvm.ptr
      cf.br ^bb39
    ^bb41:
    func.return
  }
  func.func @main() -> i32 {
    %163 = llvm.mlir.addressof @BASE : !llvm.ptr
    %164 = llvm.load %163 : !llvm.ptr -> i64
    %165 = arith.constant 8 : i32
    %166 = arith.extsi %165 : i32 to i64
    %162 = func.call @calloc(%164, %166) : (i64, i64) -> !llvm.ptr
    %167 = llvm.mlir.addressof @DIGITS : !llvm.ptr
    llvm.store %162, %167 : !llvm.ptr, !llvm.ptr
    %169 = llvm.mlir.addressof @BASE : !llvm.ptr
    %170 = llvm.load %169 : !llvm.ptr -> i64
    %171 = arith.constant 1 : i32
    %172 = arith.extsi %171 : i32 to i64
    %168 = func.call @calloc(%170, %172) : (i64, i64) -> !llvm.ptr
    %173 = llvm.mlir.addressof @USED : !llvm.ptr
    llvm.store %168, %173 : !llvm.ptr, !llvm.ptr
    %174 = llvm.mlir.addressof @DIGITS : !llvm.ptr
    %175 = llvm.load %174 : !llvm.ptr -> !llvm.ptr
    %176 = llvm.mlir.zero : !llvm.ptr
    %177 = llvm.icmp "eq" %175, %176 : !llvm.ptr
    %178 = scf.if %177 -> (i1) {
      %179 = arith.constant true
      scf.yield %179 : i1
    } else {
      %180 = llvm.mlir.addressof @USED : !llvm.ptr
      %181 = llvm.load %180 : !llvm.ptr -> !llvm.ptr
      %182 = llvm.mlir.zero : !llvm.ptr
      %183 = llvm.icmp "eq" %181, %182 : !llvm.ptr
      scf.yield %183 : i1
    }
    cf.cond_br %178, ^bb48, ^bb49
    ^bb48:
      %184 = arith.constant 1 : i32
      func.return %184 : i32
    ^bb49:
      cf.br ^bb50
    ^bb50:
    %185 = arith.constant 1 : i32
    %186 = arith.extsi %185 : i32 to i64
    %187 = llvm.mlir.constant(1 : i64) : i64
    %188 = llvm.alloca %187 x i64 : (i64) -> !llvm.ptr
    llvm.store %186, %188 : i64, !llvm.ptr
    cf.br ^bb51
    ^bb51:
    %189 = llvm.load %188 : !llvm.ptr -> i64
    %190 = llvm.mlir.addressof @BASE : !llvm.ptr
    %191 = llvm.load %190 : !llvm.ptr -> i64
    %192 = arith.cmpi slt, %189, %191 : i64
    cf.cond_br %192, ^bb52, ^bb53
    ^bb52:
      %193 = llvm.mlir.addressof @FOUND : !llvm.ptr
      %194 = llvm.load %193 : !llvm.ptr -> i64
      %195 = llvm.mlir.addressof @NEED : !llvm.ptr
      %196 = llvm.load %195 : !llvm.ptr -> i64
      %197 = arith.cmpi sge, %194, %196 : i64
      cf.cond_br %197, ^bb54, ^bb55
      ^bb54:
        cf.br ^bb53
      ^bb55:
        cf.br ^bb56
      ^bb56:
      %198 = arith.constant 1 : i32
      %199 = llvm.mlir.addressof @USED : !llvm.ptr
      %200 = llvm.load %199 : !llvm.ptr -> !llvm.ptr
      %201 = llvm.load %188 : !llvm.ptr -> i64
      %202 = arith.trunci %198 : i32 to i8
      %203 = llvm.getelementptr %200[%201] : (!llvm.ptr, i64) -> !llvm.ptr, i8
      llvm.store %202, %203 : i8, !llvm.ptr
      %205 = arith.constant 1 : i32
      %206 = llvm.load %188 : !llvm.ptr -> i64
      %207 = arith.extsi %205 : i32 to i64
      func.call @dfs(%207, %206) : (i64, i64) -> ()
      %208 = arith.constant 0 : i32
      %209 = llvm.mlir.addressof @USED : !llvm.ptr
      %210 = llvm.load %209 : !llvm.ptr -> !llvm.ptr
      %211 = llvm.load %188 : !llvm.ptr -> i64
      %212 = arith.trunci %208 : i32 to i8
      %213 = llvm.getelementptr %210[%211] : (!llvm.ptr, i64) -> !llvm.ptr, i8
      llvm.store %212, %213 : i8, !llvm.ptr
      %214 = llvm.load %188 : !llvm.ptr -> i64
      %215 = arith.constant 1 : i32
      %217 = arith.extsi %215 : i32 to i64
      %216 = arith.addi %214, %217 : i64
      llvm.store %216, %188 : i64, !llvm.ptr
      cf.br ^bb51
    ^bb53:
    %218 = llvm.mlir.addressof @str_0 : !llvm.ptr
    %219 = llvm.mlir.addressof @TOTAL : !llvm.ptr
    %220 = llvm.load %219 : !llvm.ptr -> i64
    %221 = llvm.call @printf(%218, %220) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
    %223 = llvm.mlir.addressof @DIGITS : !llvm.ptr
    %224 = llvm.load %223 : !llvm.ptr -> !llvm.ptr
    func.call @free(%224) : (!llvm.ptr) -> ()
    %226 = llvm.mlir.addressof @USED : !llvm.ptr
    %227 = llvm.load %226 : !llvm.ptr -> !llvm.ptr
    func.call @free(%227) : (!llvm.ptr) -> ()
    %228 = arith.constant 0 : i32
    func.return %228 : i32
  }
}