Problem 196

S(5678027) + S(7208785) for prime-triplet elements in triangle rows.

Answer322303240771079935
Output322303240771079935
StatusPASS
Native helperno
Runtime250 ms
Peak memory131488 KB
Time complexityO(n^4) (estimated)
Space complexityO(n) (estimated)

Performance comparison

MetricOur solutionBest known
Time complexityO(n^4)O(n^2)
Space complexityO(n)O(n^2)
ApproachFlow solutionBottom-up DP
VerdictSuboptimal

Flow source

# Project Euler 196
# S(5678027) + S(7208785) for prime-triplet elements in triangle rows.

extern {
    function calloc(n: i64, size: i64) -> ptr<void>
    function free(p: ptr<void>) -> void
    function memset(p: ptr<void>, v: i32, n: i64) -> ptr<void>
}

let mut sieve: ptr<i8> = null
let mut sieve_half: i64 = 0
let mut segment: ptr<i8> = null
let mut segment_len: i64 = 0
let mut segment_start: i64 = 0
let mut three_plus: ptr<i8> = null

function isqrt(n: i64) -> i64 {
    if n <= 0 { return 0 }
    let mut x: i64 = n
    let mut y: i64 = (x + 1) / 2
    while y < x {
        x = y
        y = (x + n / x) / 2
    }
    return x
}

function fill_sieve(size: i64) -> void {
    let half: i64 = (size >> 1) + 1
    if sieve_half >= half { return }
    if sieve != null { free(sieve) }
    sieve = calloc(half, 1)
    sieve_half = half
    let mut i: i64 = 0
    while i < half {
        sieve[i] = 1
        i = i + 1
    }
    sieve[0] = 0
    i = 1
    while 2 * i * i < half {
        if sieve[i] == 1 {
            let mut current: i64 = 3 * i + 1
            let step: i64 = 2 * i + 1
            while current < half {
                sieve[current] = 0
                current = current + step
            }
        }
        i = i + 1
    }
}

function is_prime_small(x: i64) -> bool {
    if x % 2 == 0 { return x == 2 }
    return sieve[x >> 1] == 1
}

function get_number(x: i64, y: i64) -> i64 {
    return x + y * (y - 1) / 2
}

function fill_segmented_sieve(from_val: i64, to_val: i64) -> void {
    fill_sieve(isqrt(to_val))
    segment_start = from_val | 1
    let num_values: i64 = to_val - from_val + 1
    if segment != null { free(segment) }
    if three_plus != null { free(three_plus) }
    segment_len = num_values + 1
    segment = calloc(segment_len, 1)
    three_plus = calloc(segment_len, 1)
    for i in 0..segment_len {
        segment[i] = 1
        three_plus[i] = 0
    }
    let lim: i64 = isqrt(to_val)
    for p in 3..(lim + 1) step 2 {
        if is_prime_small(p) {
            let mut smallest: i64 = from_val - (from_val % p) + p
            if smallest % 2 == 0 { smallest = smallest + p }
            let mut j: i64 = smallest
            while j <= to_val {
                segment[(j - segment_start) / 2] = 0
                j = j + 2 * p
            }
        }
    }
}

function is_prime_in_segment(x: i64, y: i64) -> bool {
    if x < 1 || x > y { return false }
    let current: i64 = get_number(x, y)
    if current % 2 == 0 { return current == 2 }
    return segment[(current - segment_start) / 2] == 1
}

function process_line(line: i64) -> i64 {
    let mut sieve_from: i64 = get_number(1, line - 2)
    let sieve_to: i64 = get_number(1, line + 3) - 1
    if line <= 2 { sieve_from = 1 }
    fill_segmented_sieve(sieve_from, sieve_to)

    for y in (line - 1)..(line + 2) {
        for x in 1..(y + 1) {
            if is_prime_in_segment(x, y) {
                let mut count_primes: i32 = 0
                let mut dx: i64 = 0 - 1
                while dx <= 1 {
                    let mut dy: i64 = 0 - 1
                    while dy <= 1 {
                        if count_primes < 3 && is_prime_in_segment(x + dx, y + dy) {
                            count_primes = count_primes + 1
                        }
                        dy = dy + 1
                    }
                    dx = dx + 1
                }
                if count_primes >= 3 {
                    three_plus[get_number(x, y) - segment_start] = 1
                } else {
                    three_plus[get_number(x, y) - segment_start] = 0
                }
            }
        }
    }

    let mut total: i64 = 0
    for x in 1..(line + 1) {
        if is_prime_in_segment(x, line) {
            let mut at_least: bool = false
            let mut dx: i64 = 0 - 1
            while dx <= 1 {
                let mut dy: i64 = 0 - 1
                while dy <= 1 {
                    if three_plus[get_number(x + dx, line + dy) - segment_start] == 1 {
                        at_least = true
                    }
                    dy = dy + 1
                }
                dx = dx + 1
            }
            if at_least {
                total = total + get_number(x, line)
            }
        }
    }
    return total
}

function main() -> i32 {
    let one: i64 = 5678027
    let two: i64 = 7208785
    printf("%lld\n", process_line(one) + process_line(two))
    if sieve != null { free(sieve) }
    if segment != null { free(segment) }
    if three_plus != null { free(three_plus) }
    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 isqrt_i64(int64_t n);
void fill_sieve_i64(int64_t size);
bool is_prime_small_i64(int64_t x);
int64_t get_number_i64_i64(int64_t x, int64_t y);
void fill_segmented_sieve_i64_i64(int64_t from_val, int64_t to_val);
bool is_prime_in_segment_i64_i64(int64_t x, int64_t y);
int64_t process_line_i64(int64_t line);
int32_t main(void);

/* Module statics */
static int8_t* sieve = NULL;
static int64_t sieve_half = 0;
static int8_t* segment = NULL;
static int64_t segment_len = 0;
static int64_t segment_start = 0;
static int8_t* three_plus = NULL;




int64_t isqrt_i64(int64_t n) {
    if (n <= 0) {
        return 0;
    }
    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;
}

void fill_sieve_i64(int64_t size) {
    int64_t half = (FLOW_CHECKED_SHR((size), (1)) + 1);
    if (sieve_half >= half) {
        return;
    }
    if (sieve != NULL) {
        free(sieve);
    }
    sieve = calloc(half, 1);
    sieve_half = half;
    int64_t i = 0;
    while (i < half) {
        sieve[i] = 1;
        i = (i + 1);
    }
    sieve[0] = 0;
    i = 1;
    while (((2 * i) * i) < half) {
        if (sieve[i] == 1) {
            int64_t current = ((3 * i) + 1);
            int64_t step = ((2 * i) + 1);
            while (current < half) {
                sieve[current] = 0;
                current = (current + step);
            }
        }
        i = (i + 1);
    }
}

bool is_prime_small_i64(int64_t x) {
    if (FLOW_CHECKED_MOD((x), (2)) == 0) {
        return x == 2;
    }
    return sieve[FLOW_CHECKED_SHR((x), (1))] == 1;
}

int64_t get_number_i64_i64(int64_t x, int64_t y) {
    return (x + FLOW_CHECKED_DIV(((y * (y - 1))), (2)));
}

void fill_segmented_sieve_i64_i64(int64_t from_val, int64_t to_val) {
    fill_sieve_i64(isqrt_i64(to_val));
    segment_start = (from_val | 1);
    int64_t num_values = ((to_val - from_val) + 1);
    if (segment != NULL) {
        free(segment);
    }
    if (three_plus != NULL) {
        free(three_plus);
    }
    segment_len = (num_values + 1);
    segment = calloc(segment_len, 1);
    three_plus = calloc(segment_len, 1);
    int32_t __flow_step_1 = 1;
    for (int32_t i = 0; (0 <= segment_len) ? i < segment_len : i > segment_len; i += (0 <= segment_len) ? 1 : -1) {
        segment[i] = 1;
        three_plus[i] = 0;
    }
    int64_t lim = isqrt_i64(to_val);
    int32_t __flow_step_2 = 2;
    for (int32_t p = 3; (__flow_step_2 > 0) ? p < (lim + 1) : p > (lim + 1); p += __flow_step_2) {
        if (is_prime_small_i64(p)) {
            int64_t smallest = ((from_val - FLOW_CHECKED_MOD((from_val), (p))) + p);
            if (FLOW_CHECKED_MOD((smallest), (2)) == 0) {
                smallest = (smallest + p);
            }
            int64_t j = smallest;
            while (j <= to_val) {
                segment[FLOW_CHECKED_DIV(((j - segment_start)), (2))] = 0;
                j = (j + (2 * p));
            }
        }
    }
}

bool is_prime_in_segment_i64_i64(int64_t x, int64_t y) {
    if ((x < 1 || x > y)) {
        return 0;
    }
    int64_t current = get_number_i64_i64(x, y);
    if (FLOW_CHECKED_MOD((current), (2)) == 0) {
        return current == 2;
    }
    return segment[FLOW_CHECKED_DIV(((current - segment_start)), (2))] == 1;
}

int64_t process_line_i64(int64_t line) {
    int64_t sieve_from = get_number_i64_i64(1, (line - 2));
    int64_t sieve_to = (get_number_i64_i64(1, (line + 3)) - 1);
    if (line <= 2) {
        sieve_from = 1;
    }
    fill_segmented_sieve_i64_i64(sieve_from, sieve_to);
    int32_t __flow_step_3 = 1;
    for (int32_t y = (line - 1); ((line - 1) <= (line + 2)) ? y < (line + 2) : y > (line + 2); y += ((line - 1) <= (line + 2)) ? 1 : -1) {
        int32_t __flow_step_4 = 1;
        for (int32_t x = 1; (1 <= (y + 1)) ? x < (y + 1) : x > (y + 1); x += (1 <= (y + 1)) ? 1 : -1) {
            if (is_prime_in_segment_i64_i64(x, y)) {
                int32_t count_primes = 0;
                int64_t dx = (0 - 1);
                while (dx <= 1) {
                    int64_t dy = (0 - 1);
                    while (dy <= 1) {
                        if ((count_primes < 3 && is_prime_in_segment_i64_i64((x + dx), (y + dy)))) {
                            count_primes = (count_primes + 1);
                        }
                        dy = (dy + 1);
                    }
                    dx = (dx + 1);
                }
                if (count_primes >= 3) {
                    three_plus[(get_number_i64_i64(x, y) - segment_start)] = 1;
                } else {
                    three_plus[(get_number_i64_i64(x, y) - segment_start)] = 0;
                }
            }
        }
    }
    int64_t total = 0;
    int32_t __flow_step_5 = 1;
    for (int32_t x = 1; (1 <= (line + 1)) ? x < (line + 1) : x > (line + 1); x += (1 <= (line + 1)) ? 1 : -1) {
        if (is_prime_in_segment_i64_i64(x, line)) {
            bool at_least = 0;
            int64_t dx = (0 - 1);
            while (dx <= 1) {
                int64_t dy = (0 - 1);
                while (dy <= 1) {
                    if (three_plus[(get_number_i64_i64((x + dx), (line + dy)) - segment_start)] == 1) {
                        at_least = 1;
                    }
                    dy = (dy + 1);
                }
                dx = (dx + 1);
            }
            if (at_least) {
                total = (total + get_number_i64_i64(x, line));
            }
        }
    }
    return total;
}

int32_t main(void) {
    int64_t one = 5678027;
    int64_t two = 7208785;
    printf("%lld\n", (process_line_i64(one) + process_line_i64(two)));
    if (sieve != NULL) {
        free(sieve);
    }
    if (segment != NULL) {
        free(segment);
    }
    if (three_plus != NULL) {
        free(three_plus);
    }
    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 private @memset(!llvm.ptr, i32, i64) -> !llvm.ptr
  // Module static: sieve
  llvm.mlir.global internal @sieve() {addr_space = 0 : i32} : !llvm.ptr {
    %0 = llvm.mlir.zero : !llvm.ptr
    llvm.return %0 : !llvm.ptr
  }
  // Module static: sieve_half
  llvm.mlir.global internal @sieve_half(0 : i64) : i64
  // Module static: segment
  llvm.mlir.global internal @segment() {addr_space = 0 : i32} : !llvm.ptr {
    %1 = llvm.mlir.zero : !llvm.ptr
    llvm.return %1 : !llvm.ptr
  }
  // Module static: segment_len
  llvm.mlir.global internal @segment_len(0 : i64) : i64
  // Module static: segment_start
  llvm.mlir.global internal @segment_start(0 : i64) : i64
  // Module static: three_plus
  llvm.mlir.global internal @three_plus() {addr_space = 0 : i32} : !llvm.ptr {
    %2 = llvm.mlir.zero : !llvm.ptr
    llvm.return %2 : !llvm.ptr
  }
  func.func @isqrt(%arg0: i64) -> i64 {
    %3 = arith.constant 0 : i32
    %5 = arith.extsi %3 : i32 to i64
    %4 = arith.cmpi sle, %arg0, %5 : i64
    cf.cond_br %4, ^bb0, ^bb1
    ^bb0:
      %6 = arith.constant 0 : i32
      %7 = arith.extsi %6 : i32 to i64
      func.return %7 : i64
    ^bb1:
      cf.br ^bb2
    ^bb2:
    %8 = llvm.mlir.constant(1 : i64) : i64
    %9 = llvm.alloca %8 x i64 : (i64) -> !llvm.ptr
    llvm.store %arg0, %9 : i64, !llvm.ptr
    %10 = llvm.load %9 : !llvm.ptr -> i64
    %11 = arith.constant 1 : i32
    %13 = arith.extsi %11 : i32 to i64
    %12 = arith.addi %10, %13 : i64
    %14 = arith.constant 2 : i32
    %16 = arith.extsi %14 : i32 to i64
    %15 = arith.divsi %12, %16 : i64
    %17 = llvm.mlir.constant(1 : i64) : i64
    %18 = llvm.alloca %17 x i64 : (i64) -> !llvm.ptr
    llvm.store %15, %18 : i64, !llvm.ptr
    cf.br ^bb3
    ^bb3:
    %19 = llvm.load %18 : !llvm.ptr -> i64
    %20 = llvm.load %9 : !llvm.ptr -> i64
    %21 = arith.cmpi slt, %19, %20 : i64
    cf.cond_br %21, ^bb4, ^bb5
    ^bb4:
      %22 = llvm.load %18 : !llvm.ptr -> i64
      llvm.store %22, %9 : i64, !llvm.ptr
      %23 = llvm.load %9 : !llvm.ptr -> i64
      %24 = llvm.load %9 : !llvm.ptr -> i64
      %25 = arith.divsi %arg0, %24 : i64
      %26 = arith.addi %23, %25 : i64
      %27 = arith.constant 2 : i32
      %29 = arith.extsi %27 : i32 to i64
      %28 = arith.divsi %26, %29 : i64
      llvm.store %28, %18 : i64, !llvm.ptr
      cf.br ^bb3
    ^bb5:
    %30 = llvm.load %9 : !llvm.ptr -> i64
    func.return %30 : i64
  }
  func.func @fill_sieve(%arg0: i64) -> () {
    %31 = arith.constant 1 : i32
    %33 = arith.extsi %31 : i32 to i64
    %32 = arith.shrsi %arg0, %33 : i64
    %34 = arith.constant 1 : i32
    %36 = arith.extsi %34 : i32 to i64
    %35 = arith.addi %32, %36 : i64
    %37 = llvm.mlir.addressof @sieve_half : !llvm.ptr
    %38 = llvm.load %37 : !llvm.ptr -> i64
    %39 = arith.cmpi sge, %38, %35 : i64
    cf.cond_br %39, ^bb6, ^bb7
    ^bb6:
      func.return
    ^bb7:
      cf.br ^bb8
    ^bb8:
    %40 = llvm.mlir.addressof @sieve : !llvm.ptr
    %41 = llvm.load %40 : !llvm.ptr -> !llvm.ptr
    %42 = llvm.mlir.zero : !llvm.ptr
    %43 = llvm.icmp "ne" %41, %42 : !llvm.ptr
    cf.cond_br %43, ^bb9, ^bb10
    ^bb9:
      %45 = llvm.mlir.addressof @sieve : !llvm.ptr
      %46 = llvm.load %45 : !llvm.ptr -> !llvm.ptr
      func.call @free(%46) : (!llvm.ptr) -> ()
      cf.br ^bb11
    ^bb10:
      cf.br ^bb11
    ^bb11:
    %48 = arith.constant 1 : i32
    %49 = arith.extsi %48 : i32 to i64
    %47 = func.call @calloc(%35, %49) : (i64, i64) -> !llvm.ptr
    %50 = llvm.mlir.addressof @sieve : !llvm.ptr
    llvm.store %47, %50 : !llvm.ptr, !llvm.ptr
    %51 = llvm.mlir.addressof @sieve_half : !llvm.ptr
    llvm.store %35, %51 : i64, !llvm.ptr
    %52 = arith.constant 0 : i32
    %53 = arith.extsi %52 : i32 to i64
    %54 = llvm.mlir.constant(1 : i64) : i64
    %55 = llvm.alloca %54 x i64 : (i64) -> !llvm.ptr
    llvm.store %53, %55 : i64, !llvm.ptr
    cf.br ^bb12
    ^bb12:
    %56 = llvm.load %55 : !llvm.ptr -> i64
    %57 = arith.cmpi slt, %56, %35 : i64
    cf.cond_br %57, ^bb13, ^bb14
    ^bb13:
      %58 = arith.constant 1 : i32
      %59 = llvm.mlir.addressof @sieve : !llvm.ptr
      %60 = llvm.load %59 : !llvm.ptr -> !llvm.ptr
      %61 = llvm.load %55 : !llvm.ptr -> i64
      %62 = arith.trunci %58 : i32 to i8
      %63 = llvm.getelementptr %60[%61] : (!llvm.ptr, i64) -> !llvm.ptr, i8
      llvm.store %62, %63 : i8, !llvm.ptr
      %64 = llvm.load %55 : !llvm.ptr -> i64
      %65 = arith.constant 1 : i32
      %67 = arith.extsi %65 : i32 to i64
      %66 = arith.addi %64, %67 : i64
      llvm.store %66, %55 : i64, !llvm.ptr
      cf.br ^bb12
    ^bb14:
    %68 = arith.constant 0 : i32
    %69 = llvm.mlir.addressof @sieve : !llvm.ptr
    %70 = llvm.load %69 : !llvm.ptr -> !llvm.ptr
    %71 = arith.constant 0 : i32
    %72 = arith.trunci %68 : i32 to i8
    %73 = arith.extsi %71 : i32 to i64
    %74 = llvm.getelementptr %70[%73] : (!llvm.ptr, i64) -> !llvm.ptr, i8
    llvm.store %72, %74 : i8, !llvm.ptr
    %75 = arith.constant 1 : i32
    %76 = arith.extsi %75 : i32 to i64
    llvm.store %76, %55 : i64, !llvm.ptr
    cf.br ^bb15
    ^bb15:
    %77 = arith.constant 2 : i32
    %78 = llvm.load %55 : !llvm.ptr -> i64
    %80 = arith.extsi %77 : i32 to i64
    %79 = arith.muli %80, %78 : i64
    %81 = llvm.load %55 : !llvm.ptr -> i64
    %82 = arith.muli %79, %81 : i64
    %83 = arith.cmpi slt, %82, %35 : i64
    cf.cond_br %83, ^bb16, ^bb17
    ^bb16:
      %85 = llvm.mlir.addressof @sieve : !llvm.ptr
      %86 = llvm.load %85 : !llvm.ptr -> !llvm.ptr
      %87 = llvm.load %55 : !llvm.ptr -> i64
      %88 = llvm.getelementptr %86[%87] : (!llvm.ptr, i64) -> !llvm.ptr, i8
      %84 = llvm.load %88 : !llvm.ptr -> i8
      %89 = arith.constant 1 : i32
      %91 = arith.extsi %84 : i8 to i32
      %90 = arith.cmpi eq, %91, %89 : i32
      cf.cond_br %90, ^bb18, ^bb19
      ^bb18:
        %92 = arith.constant 3 : i32
        %93 = llvm.load %55 : !llvm.ptr -> i64
        %95 = arith.extsi %92 : i32 to i64
        %94 = arith.muli %95, %93 : i64
        %96 = arith.constant 1 : i32
        %98 = arith.extsi %96 : i32 to i64
        %97 = arith.addi %94, %98 : i64
        %99 = llvm.mlir.constant(1 : i64) : i64
        %100 = llvm.alloca %99 x i64 : (i64) -> !llvm.ptr
        llvm.store %97, %100 : i64, !llvm.ptr
        %101 = arith.constant 2 : i32
        %102 = llvm.load %55 : !llvm.ptr -> i64
        %104 = arith.extsi %101 : i32 to i64
        %103 = arith.muli %104, %102 : i64
        %105 = arith.constant 1 : i32
        %107 = arith.extsi %105 : i32 to i64
        %106 = arith.addi %103, %107 : i64
        cf.br ^bb21
        ^bb21:
        %108 = llvm.load %100 : !llvm.ptr -> i64
        %109 = arith.cmpi slt, %108, %35 : i64
        cf.cond_br %109, ^bb22, ^bb23
        ^bb22:
          %110 = arith.constant 0 : i32
          %111 = llvm.mlir.addressof @sieve : !llvm.ptr
          %112 = llvm.load %111 : !llvm.ptr -> !llvm.ptr
          %113 = llvm.load %100 : !llvm.ptr -> i64
          %114 = arith.trunci %110 : i32 to i8
          %115 = llvm.getelementptr %112[%113] : (!llvm.ptr, i64) -> !llvm.ptr, i8
          llvm.store %114, %115 : i8, !llvm.ptr
          %116 = llvm.load %100 : !llvm.ptr -> i64
          %117 = arith.addi %116, %106 : i64
          llvm.store %117, %100 : i64, !llvm.ptr
          cf.br ^bb21
        ^bb23:
        cf.br ^bb20
      ^bb19:
        cf.br ^bb20
      ^bb20:
      %118 = llvm.load %55 : !llvm.ptr -> i64
      %119 = arith.constant 1 : i32
      %121 = arith.extsi %119 : i32 to i64
      %120 = arith.addi %118, %121 : i64
      llvm.store %120, %55 : i64, !llvm.ptr
      cf.br ^bb15
    ^bb17:
    func.return
  }
  func.func @is_prime_small(%arg0: i64) -> i1 {
    %122 = arith.constant 2 : i32
    %124 = arith.extsi %122 : i32 to i64
    %123 = arith.remsi %arg0, %124 : i64
    %125 = arith.constant 0 : i32
    %127 = arith.extsi %125 : i32 to i64
    %126 = arith.cmpi eq, %123, %127 : i64
    cf.cond_br %126, ^bb24, ^bb25
    ^bb24:
      %128 = arith.constant 2 : i32
      %130 = arith.extsi %128 : i32 to i64
      %129 = arith.cmpi eq, %arg0, %130 : i64
      func.return %129 : i1
    ^bb25:
      cf.br ^bb26
    ^bb26:
    %132 = llvm.mlir.addressof @sieve : !llvm.ptr
    %133 = llvm.load %132 : !llvm.ptr -> !llvm.ptr
    %134 = arith.constant 1 : i32
    %136 = arith.extsi %134 : i32 to i64
    %135 = arith.shrsi %arg0, %136 : i64
    %137 = llvm.getelementptr %133[%135] : (!llvm.ptr, i64) -> !llvm.ptr, i8
    %131 = llvm.load %137 : !llvm.ptr -> i8
    %138 = arith.constant 1 : i32
    %140 = arith.extsi %131 : i8 to i32
    %139 = arith.cmpi eq, %140, %138 : i32
    func.return %139 : i1
  }
  func.func @get_number(%arg0: i64, %arg1: i64) -> i64 {
    %141 = arith.constant 1 : i32
    %143 = arith.extsi %141 : i32 to i64
    %142 = arith.subi %arg1, %143 : i64
    %144 = arith.muli %arg1, %142 : i64
    %145 = arith.constant 2 : i32
    %147 = arith.extsi %145 : i32 to i64
    %146 = arith.divsi %144, %147 : i64
    %148 = arith.addi %arg0, %146 : i64
    func.return %148 : i64
  }
  func.func @fill_segmented_sieve(%arg0: i64, %arg1: i64) -> () {
    %150 = func.call @isqrt(%arg1) : (i64) -> i64
    func.call @fill_sieve(%150) : (i64) -> ()
    %151 = arith.constant 1 : i32
    %153 = arith.extsi %151 : i32 to i64
    %152 = arith.ori %arg0, %153 : i64
    %154 = llvm.mlir.addressof @segment_start : !llvm.ptr
    llvm.store %152, %154 : i64, !llvm.ptr
    %155 = arith.subi %arg1, %arg0 : i64
    %156 = arith.constant 1 : i32
    %158 = arith.extsi %156 : i32 to i64
    %157 = arith.addi %155, %158 : i64
    %159 = llvm.mlir.addressof @segment : !llvm.ptr
    %160 = llvm.load %159 : !llvm.ptr -> !llvm.ptr
    %161 = llvm.mlir.zero : !llvm.ptr
    %162 = llvm.icmp "ne" %160, %161 : !llvm.ptr
    cf.cond_br %162, ^bb27, ^bb28
    ^bb27:
      %164 = llvm.mlir.addressof @segment : !llvm.ptr
      %165 = llvm.load %164 : !llvm.ptr -> !llvm.ptr
      func.call @free(%165) : (!llvm.ptr) -> ()
      cf.br ^bb29
    ^bb28:
      cf.br ^bb29
    ^bb29:
    %166 = llvm.mlir.addressof @three_plus : !llvm.ptr
    %167 = llvm.load %166 : !llvm.ptr -> !llvm.ptr
    %168 = llvm.mlir.zero : !llvm.ptr
    %169 = llvm.icmp "ne" %167, %168 : !llvm.ptr
    cf.cond_br %169, ^bb30, ^bb31
    ^bb30:
      %171 = llvm.mlir.addressof @three_plus : !llvm.ptr
      %172 = llvm.load %171 : !llvm.ptr -> !llvm.ptr
      func.call @free(%172) : (!llvm.ptr) -> ()
      cf.br ^bb32
    ^bb31:
      cf.br ^bb32
    ^bb32:
    %173 = arith.constant 1 : i32
    %175 = arith.extsi %173 : i32 to i64
    %174 = arith.addi %157, %175 : i64
    %176 = llvm.mlir.addressof @segment_len : !llvm.ptr
    llvm.store %174, %176 : i64, !llvm.ptr
    %178 = llvm.mlir.addressof @segment_len : !llvm.ptr
    %179 = llvm.load %178 : !llvm.ptr -> i64
    %180 = arith.constant 1 : i32
    %181 = arith.extsi %180 : i32 to i64
    %177 = func.call @calloc(%179, %181) : (i64, i64) -> !llvm.ptr
    %182 = llvm.mlir.addressof @segment : !llvm.ptr
    llvm.store %177, %182 : !llvm.ptr, !llvm.ptr
    %184 = llvm.mlir.addressof @segment_len : !llvm.ptr
    %185 = llvm.load %184 : !llvm.ptr -> i64
    %186 = arith.constant 1 : i32
    %187 = arith.extsi %186 : i32 to i64
    %183 = func.call @calloc(%185, %187) : (i64, i64) -> !llvm.ptr
    %188 = llvm.mlir.addressof @three_plus : !llvm.ptr
    llvm.store %183, %188 : !llvm.ptr, !llvm.ptr
    %189 = arith.constant 0 : i32
    %190 = llvm.mlir.addressof @segment_len : !llvm.ptr
    %191 = llvm.load %190 : !llvm.ptr -> i64
    %192 = arith.index_cast %189 : i32 to index
    %193 = arith.index_cast %191 : i32 to index
    %195 = arith.constant 1 : index
    %196 = arith.constant -1 : index
    %197 = arith.cmpi sle, %192, %193 : index
    %194 = arith.select %197, %195, %196 : index
    cf.br ^bb33(%192 : index)
    ^bb33(%198: index):
    %199 = arith.cmpi slt, %198, %193 : index
    %200 = arith.cmpi sgt, %198, %193 : index
    %201 = arith.select %197, %199, %200 : i1
    cf.cond_br %201, ^bb34(%198 : index), ^bb35(%198 : index)
    ^bb34(%202: index):
      %203 = arith.constant 1 : i32
      %204 = llvm.mlir.addressof @segment : !llvm.ptr
      %205 = llvm.load %204 : !llvm.ptr -> !llvm.ptr
      %206 = arith.trunci %203 : i32 to i8
      %207 = arith.index_cast %202 : index to i64
      %208 = llvm.getelementptr %205[%207] : (!llvm.ptr, i64) -> !llvm.ptr, i8
      llvm.store %206, %208 : i8, !llvm.ptr
      %209 = arith.constant 0 : i32
      %210 = llvm.mlir.addressof @three_plus : !llvm.ptr
      %211 = llvm.load %210 : !llvm.ptr -> !llvm.ptr
      %212 = arith.trunci %209 : i32 to i8
      %213 = arith.index_cast %202 : index to i64
      %214 = llvm.getelementptr %211[%213] : (!llvm.ptr, i64) -> !llvm.ptr, i8
      llvm.store %212, %214 : i8, !llvm.ptr
      %215 = arith.addi %202, %194 : index
      cf.br ^bb33(%215 : index)
    ^bb35(%216: index):
    %217 = func.call @isqrt(%arg1) : (i64) -> i64
    %218 = arith.constant 3 : i32
    %219 = arith.constant 1 : i32
    %221 = arith.extsi %219 : i32 to i64
    %220 = arith.addi %217, %221 : i64
    %222 = arith.index_cast %218 : i32 to index
    %223 = arith.index_cast %220 : i32 to index
    %224 = arith.constant 2 : index
    cf.br ^bb36(%222 : index)
    ^bb36(%225: index):
    %226 = arith.cmpi slt, %225, %223 : index
    cf.cond_br %226, ^bb37(%225 : index), ^bb38(%225 : index)
    ^bb37(%227: index):
      %229 = arith.index_cast %227 : index to i64
      %228 = func.call @is_prime_small(%229) : (i64) -> i1
      cf.cond_br %228, ^bb39, ^bb40
      ^bb39:
        %231 = arith.trunci %arg0 : i64 to i32
        %232 = arith.index_cast %227 : index to i32
        %230 = arith.remsi %231, %232 : i32
        %234 = arith.extsi %230 : i32 to i64
        %233 = arith.subi %arg0, %234 : i64
        %236 = arith.trunci %233 : i64 to i32
        %237 = arith.index_cast %227 : index to i32
        %235 = arith.addi %236, %237 : i32
        %238 = arith.extsi %235 : i32 to i64
        %239 = llvm.mlir.constant(1 : i64) : i64
        %240 = llvm.alloca %239 x i64 : (i64) -> !llvm.ptr
        llvm.store %238, %240 : i64, !llvm.ptr
        %241 = llvm.load %240 : !llvm.ptr -> i64
        %242 = arith.constant 2 : i32
        %244 = arith.extsi %242 : i32 to i64
        %243 = arith.remsi %241, %244 : i64
        %245 = arith.constant 0 : i32
        %247 = arith.extsi %245 : i32 to i64
        %246 = arith.cmpi eq, %243, %247 : i64
        cf.cond_br %246, ^bb42, ^bb43
        ^bb42:
          %248 = llvm.load %240 : !llvm.ptr -> i64
          %250 = arith.trunci %248 : i64 to i32
          %251 = arith.index_cast %227 : index to i32
          %249 = arith.addi %250, %251 : i32
          %252 = arith.extsi %249 : i32 to i64
          llvm.store %252, %240 : i64, !llvm.ptr
          cf.br ^bb44
        ^bb43:
          cf.br ^bb44
        ^bb44:
        %253 = llvm.load %240 : !llvm.ptr -> i64
        %254 = llvm.mlir.constant(1 : i64) : i64
        %255 = llvm.alloca %254 x i64 : (i64) -> !llvm.ptr
        llvm.store %253, %255 : i64, !llvm.ptr
        cf.br ^bb45
        ^bb45:
        %256 = llvm.load %255 : !llvm.ptr -> i64
        %257 = arith.cmpi sle, %256, %arg1 : i64
        cf.cond_br %257, ^bb46, ^bb47
        ^bb46:
          %258 = arith.constant 0 : i32
          %259 = llvm.mlir.addressof @segment : !llvm.ptr
          %260 = llvm.load %259 : !llvm.ptr -> !llvm.ptr
          %261 = llvm.load %255 : !llvm.ptr -> i64
          %262 = llvm.mlir.addressof @segment_start : !llvm.ptr
          %263 = llvm.load %262 : !llvm.ptr -> i64
          %264 = arith.subi %261, %263 : i64
          %265 = arith.constant 2 : i32
          %267 = arith.extsi %265 : i32 to i64
          %266 = arith.divsi %264, %267 : i64
          %268 = arith.trunci %258 : i32 to i8
          %269 = llvm.getelementptr %260[%266] : (!llvm.ptr, i64) -> !llvm.ptr, i8
          llvm.store %268, %269 : i8, !llvm.ptr
          %270 = llvm.load %255 : !llvm.ptr -> i64
          %271 = arith.constant 2 : i32
          %273 = arith.index_cast %227 : index to i32
          %272 = arith.muli %271, %273 : i32
          %275 = arith.extsi %272 : i32 to i64
          %274 = arith.addi %270, %275 : i64
          llvm.store %274, %255 : i64, !llvm.ptr
          cf.br ^bb45
        ^bb47:
        cf.br ^bb41
      ^bb40:
        cf.br ^bb41
      ^bb41:
      %276 = arith.addi %227, %224 : index
      cf.br ^bb36(%276 : index)
    ^bb38(%277: index):
    func.return
  }
  func.func @is_prime_in_segment(%arg0: i64, %arg1: i64) -> i1 {
    %278 = arith.constant 1 : i32
    %280 = arith.extsi %278 : i32 to i64
    %279 = arith.cmpi slt, %arg0, %280 : i64
    %281 = scf.if %279 -> (i1) {
      %282 = arith.constant true
      scf.yield %282 : i1
    } else {
      %283 = arith.cmpi sgt, %arg0, %arg1 : i64
      scf.yield %283 : i1
    }
    cf.cond_br %281, ^bb48, ^bb49
    ^bb48:
      %284 = arith.constant 0 : i1
      func.return %284 : i1
    ^bb49:
      cf.br ^bb50
    ^bb50:
    %285 = func.call @get_number(%arg0, %arg1) : (i64, i64) -> i64
    %286 = arith.constant 2 : i32
    %288 = arith.extsi %286 : i32 to i64
    %287 = arith.remsi %285, %288 : i64
    %289 = arith.constant 0 : i32
    %291 = arith.extsi %289 : i32 to i64
    %290 = arith.cmpi eq, %287, %291 : i64
    cf.cond_br %290, ^bb51, ^bb52
    ^bb51:
      %292 = arith.constant 2 : i32
      %294 = arith.extsi %292 : i32 to i64
      %293 = arith.cmpi eq, %285, %294 : i64
      func.return %293 : i1
    ^bb52:
      cf.br ^bb53
    ^bb53:
    %296 = llvm.mlir.addressof @segment : !llvm.ptr
    %297 = llvm.load %296 : !llvm.ptr -> !llvm.ptr
    %298 = llvm.mlir.addressof @segment_start : !llvm.ptr
    %299 = llvm.load %298 : !llvm.ptr -> i64
    %300 = arith.subi %285, %299 : i64
    %301 = arith.constant 2 : i32
    %303 = arith.extsi %301 : i32 to i64
    %302 = arith.divsi %300, %303 : i64
    %304 = llvm.getelementptr %297[%302] : (!llvm.ptr, i64) -> !llvm.ptr, i8
    %295 = llvm.load %304 : !llvm.ptr -> i8
    %305 = arith.constant 1 : i32
    %307 = arith.extsi %295 : i8 to i32
    %306 = arith.cmpi eq, %307, %305 : i32
    func.return %306 : i1
  }
  func.func @process_line(%arg0: i64) -> i64 {
    %309 = arith.constant 1 : i32
    %310 = arith.constant 2 : i32
    %312 = arith.extsi %310 : i32 to i64
    %311 = arith.subi %arg0, %312 : i64
    %313 = arith.extsi %309 : i32 to i64
    %308 = func.call @get_number(%313, %311) : (i64, i64) -> i64
    %314 = llvm.mlir.constant(1 : i64) : i64
    %315 = llvm.alloca %314 x i64 : (i64) -> !llvm.ptr
    llvm.store %308, %315 : i64, !llvm.ptr
    %317 = arith.constant 1 : i32
    %318 = arith.constant 3 : i32
    %320 = arith.extsi %318 : i32 to i64
    %319 = arith.addi %arg0, %320 : i64
    %321 = arith.extsi %317 : i32 to i64
    %316 = func.call @get_number(%321, %319) : (i64, i64) -> i64
    %322 = arith.constant 1 : i32
    %324 = arith.extsi %322 : i32 to i64
    %323 = arith.subi %316, %324 : i64
    %325 = arith.constant 2 : i32
    %327 = arith.extsi %325 : i32 to i64
    %326 = arith.cmpi sle, %arg0, %327 : i64
    cf.cond_br %326, ^bb54, ^bb55
    ^bb54:
      %328 = arith.constant 1 : i32
      %329 = arith.extsi %328 : i32 to i64
      llvm.store %329, %315 : i64, !llvm.ptr
      cf.br ^bb56
    ^bb55:
      cf.br ^bb56
    ^bb56:
    %331 = llvm.load %315 : !llvm.ptr -> i64
    func.call @fill_segmented_sieve(%331, %323) : (i64, i64) -> ()
    %332 = arith.constant 1 : i32
    %334 = arith.extsi %332 : i32 to i64
    %333 = arith.subi %arg0, %334 : i64
    %335 = arith.constant 2 : i32
    %337 = arith.extsi %335 : i32 to i64
    %336 = arith.addi %arg0, %337 : i64
    %338 = arith.index_cast %333 : i32 to index
    %339 = arith.index_cast %336 : i32 to index
    %341 = arith.constant 1 : index
    %342 = arith.constant -1 : index
    %343 = arith.cmpi sle, %338, %339 : index
    %340 = arith.select %343, %341, %342 : index
    cf.br ^bb57(%338 : index)
    ^bb57(%344: index):
    %345 = arith.cmpi slt, %344, %339 : index
    %346 = arith.cmpi sgt, %344, %339 : index
    %347 = arith.select %343, %345, %346 : i1
    cf.cond_br %347, ^bb58(%344 : index), ^bb59(%344 : index)
    ^bb58(%348: index):
      %349 = arith.constant 1 : i32
      %350 = arith.constant 1 : i32
      %352 = arith.index_cast %348 : index to i32
      %351 = arith.addi %352, %350 : i32
      %353 = arith.index_cast %349 : i32 to index
      %354 = arith.index_cast %351 : i32 to index
      %356 = arith.constant 1 : index
      %357 = arith.constant -1 : index
      %358 = arith.cmpi sle, %353, %354 : index
      %355 = arith.select %358, %356, %357 : index
      cf.br ^bb60(%353 : index)
      ^bb60(%359: index):
      %360 = arith.cmpi slt, %359, %354 : index
      %361 = arith.cmpi sgt, %359, %354 : index
      %362 = arith.select %358, %360, %361 : i1
      cf.cond_br %362, ^bb61(%359 : index), ^bb62(%359 : index)
      ^bb61(%363: index):
        %365 = arith.index_cast %363 : index to i64
        %366 = arith.index_cast %348 : index to i64
        %364 = func.call @is_prime_in_segment(%365, %366) : (i64, i64) -> i1
        cf.cond_br %364, ^bb63, ^bb64
        ^bb63:
          %367 = arith.constant 0 : i32
          %368 = llvm.mlir.constant(1 : i64) : i64
          %369 = llvm.alloca %368 x i32 : (i64) -> !llvm.ptr
          llvm.store %367, %369 : i32, !llvm.ptr
          %370 = arith.constant 0 : i32
          %371 = arith.constant 1 : i32
          %372 = arith.subi %370, %371 : i32
          %373 = arith.extsi %372 : i32 to i64
          %374 = llvm.mlir.constant(1 : i64) : i64
          %375 = llvm.alloca %374 x i64 : (i64) -> !llvm.ptr
          llvm.store %373, %375 : i64, !llvm.ptr
          cf.br ^bb66
          ^bb66:
          %376 = llvm.load %375 : !llvm.ptr -> i64
          %377 = arith.constant 1 : i32
          %379 = arith.extsi %377 : i32 to i64
          %378 = arith.cmpi sle, %376, %379 : i64
          cf.cond_br %378, ^bb67, ^bb68
          ^bb67:
            %380 = arith.constant 0 : i32
            %381 = arith.constant 1 : i32
            %382 = arith.subi %380, %381 : i32
            %383 = arith.extsi %382 : i32 to i64
            %384 = llvm.mlir.constant(1 : i64) : i64
            %385 = llvm.alloca %384 x i64 : (i64) -> !llvm.ptr
            llvm.store %383, %385 : i64, !llvm.ptr
            cf.br ^bb69
            ^bb69:
            %386 = llvm.load %385 : !llvm.ptr -> i64
            %387 = arith.constant 1 : i32
            %389 = arith.extsi %387 : i32 to i64
            %388 = arith.cmpi sle, %386, %389 : i64
            cf.cond_br %388, ^bb70, ^bb71
            ^bb70:
              %390 = llvm.load %369 : !llvm.ptr -> i32
              %391 = arith.constant 3 : i32
              %392 = arith.cmpi slt, %390, %391 : i32
              %393 = scf.if %392 -> (i1) {
                %395 = llvm.load %375 : !llvm.ptr -> i64
                %397 = arith.index_cast %363 : index to i32
                %398 = arith.trunci %395 : i64 to i32
                %396 = arith.addi %397, %398 : i32
                %399 = llvm.load %385 : !llvm.ptr -> i64
                %401 = arith.index_cast %348 : index to i32
                %402 = arith.trunci %399 : i64 to i32
                %400 = arith.addi %401, %402 : i32
                %403 = arith.extsi %396 : i32 to i64
                %404 = arith.extsi %400 : i32 to i64
                %394 = func.call @is_prime_in_segment(%403, %404) : (i64, i64) -> i1
                scf.yield %394 : i1
              } else {
                %405 = arith.constant false
                scf.yield %405 : i1
              }
              cf.cond_br %393, ^bb72, ^bb73
              ^bb72:
                %406 = llvm.load %369 : !llvm.ptr -> i32
                %407 = arith.constant 1 : i32
                %408 = arith.addi %406, %407 : i32
                llvm.store %408, %369 : i32, !llvm.ptr
                cf.br ^bb74
              ^bb73:
                cf.br ^bb74
              ^bb74:
              %409 = llvm.load %385 : !llvm.ptr -> i64
              %410 = arith.constant 1 : i32
              %412 = arith.extsi %410 : i32 to i64
              %411 = arith.addi %409, %412 : i64
              llvm.store %411, %385 : i64, !llvm.ptr
              cf.br ^bb69
            ^bb71:
            %413 = llvm.load %375 : !llvm.ptr -> i64
            %414 = arith.constant 1 : i32
            %416 = arith.extsi %414 : i32 to i64
            %415 = arith.addi %413, %416 : i64
            llvm.store %415, %375 : i64, !llvm.ptr
            cf.br ^bb66
          ^bb68:
          %417 = llvm.load %369 : !llvm.ptr -> i32
          %418 = arith.constant 3 : i32
          %419 = arith.cmpi sge, %417, %418 : i32
          cf.cond_br %419, ^bb75, ^bb76
          ^bb75:
            %420 = arith.constant 1 : i32
            %421 = llvm.mlir.addressof @three_plus : !llvm.ptr
            %422 = llvm.load %421 : !llvm.ptr -> !llvm.ptr
            %424 = arith.index_cast %363 : index to i64
            %425 = arith.index_cast %348 : index to i64
            %423 = func.call @get_number(%424, %425) : (i64, i64) -> i64
            %426 = llvm.mlir.addressof @segment_start : !llvm.ptr
            %427 = llvm.load %426 : !llvm.ptr -> i64
            %428 = arith.subi %423, %427 : i64
            %429 = arith.trunci %420 : i32 to i8
            %430 = llvm.getelementptr %422[%428] : (!llvm.ptr, i64) -> !llvm.ptr, i8
            llvm.store %429, %430 : i8, !llvm.ptr
            cf.br ^bb77
          ^bb76:
            %431 = arith.constant 0 : i32
            %432 = llvm.mlir.addressof @three_plus : !llvm.ptr
            %433 = llvm.load %432 : !llvm.ptr -> !llvm.ptr
            %435 = arith.index_cast %363 : index to i64
            %436 = arith.index_cast %348 : index to i64
            %434 = func.call @get_number(%435, %436) : (i64, i64) -> i64
            %437 = llvm.mlir.addressof @segment_start : !llvm.ptr
            %438 = llvm.load %437 : !llvm.ptr -> i64
            %439 = arith.subi %434, %438 : i64
            %440 = arith.trunci %431 : i32 to i8
            %441 = llvm.getelementptr %433[%439] : (!llvm.ptr, i64) -> !llvm.ptr, i8
            llvm.store %440, %441 : i8, !llvm.ptr
            cf.br ^bb77
          ^bb77:
          cf.br ^bb65
        ^bb64:
          cf.br ^bb65
        ^bb65:
        %442 = arith.addi %363, %355 : index
        cf.br ^bb60(%442 : index)
      ^bb62(%443: index):
      %444 = arith.addi %348, %340 : index
      cf.br ^bb57(%444 : index)
    ^bb59(%445: index):
    %446 = arith.constant 0 : i32
    %447 = arith.extsi %446 : i32 to i64
    %448 = llvm.mlir.constant(1 : i64) : i64
    %449 = llvm.alloca %448 x i64 : (i64) -> !llvm.ptr
    llvm.store %447, %449 : i64, !llvm.ptr
    %450 = arith.constant 1 : i32
    %451 = arith.constant 1 : i32
    %453 = arith.extsi %451 : i32 to i64
    %452 = arith.addi %arg0, %453 : i64
    %454 = arith.index_cast %450 : i32 to index
    %455 = arith.index_cast %452 : i32 to index
    %457 = arith.constant 1 : index
    %458 = arith.constant -1 : index
    %459 = arith.cmpi sle, %454, %455 : index
    %456 = arith.select %459, %457, %458 : index
    cf.br ^bb78(%454 : index)
    ^bb78(%460: index):
    %461 = arith.cmpi slt, %460, %455 : index
    %462 = arith.cmpi sgt, %460, %455 : index
    %463 = arith.select %459, %461, %462 : i1
    cf.cond_br %463, ^bb79(%460 : index), ^bb80(%460 : index)
    ^bb79(%464: index):
      %466 = arith.index_cast %464 : index to i64
      %465 = func.call @is_prime_in_segment(%466, %arg0) : (i64, i64) -> i1
      cf.cond_br %465, ^bb81, ^bb82
      ^bb81:
        %467 = arith.constant 0 : i1
        %468 = llvm.mlir.constant(1 : i64) : i64
        %469 = llvm.alloca %468 x i1 : (i64) -> !llvm.ptr
        llvm.store %467, %469 : i1, !llvm.ptr
        %470 = arith.constant 0 : i32
        %471 = arith.constant 1 : i32
        %472 = arith.subi %470, %471 : i32
        %473 = arith.extsi %472 : i32 to i64
        %474 = llvm.mlir.constant(1 : i64) : i64
        %475 = llvm.alloca %474 x i64 : (i64) -> !llvm.ptr
        llvm.store %473, %475 : i64, !llvm.ptr
        cf.br ^bb84
        ^bb84:
        %476 = llvm.load %475 : !llvm.ptr -> i64
        %477 = arith.constant 1 : i32
        %479 = arith.extsi %477 : i32 to i64
        %478 = arith.cmpi sle, %476, %479 : i64
        cf.cond_br %478, ^bb85, ^bb86
        ^bb85:
          %480 = arith.constant 0 : i32
          %481 = arith.constant 1 : i32
          %482 = arith.subi %480, %481 : i32
          %483 = arith.extsi %482 : i32 to i64
          %484 = llvm.mlir.constant(1 : i64) : i64
          %485 = llvm.alloca %484 x i64 : (i64) -> !llvm.ptr
          llvm.store %483, %485 : i64, !llvm.ptr
          cf.br ^bb87
          ^bb87:
          %486 = llvm.load %485 : !llvm.ptr -> i64
          %487 = arith.constant 1 : i32
          %489 = arith.extsi %487 : i32 to i64
          %488 = arith.cmpi sle, %486, %489 : i64
          cf.cond_br %488, ^bb88, ^bb89
          ^bb88:
            %491 = llvm.mlir.addressof @three_plus : !llvm.ptr
            %492 = llvm.load %491 : !llvm.ptr -> !llvm.ptr
            %494 = llvm.load %475 : !llvm.ptr -> i64
            %496 = arith.index_cast %464 : index to i32
            %497 = arith.trunci %494 : i64 to i32
            %495 = arith.addi %496, %497 : i32
            %498 = llvm.load %485 : !llvm.ptr -> i64
            %499 = arith.addi %arg0, %498 : i64
            %500 = arith.extsi %495 : i32 to i64
            %493 = func.call @get_number(%500, %499) : (i64, i64) -> i64
            %501 = llvm.mlir.addressof @segment_start : !llvm.ptr
            %502 = llvm.load %501 : !llvm.ptr -> i64
            %503 = arith.subi %493, %502 : i64
            %504 = llvm.getelementptr %492[%503] : (!llvm.ptr, i64) -> !llvm.ptr, i8
            %490 = llvm.load %504 : !llvm.ptr -> i8
            %505 = arith.constant 1 : i32
            %507 = arith.extsi %490 : i8 to i32
            %506 = arith.cmpi eq, %507, %505 : i32
            cf.cond_br %506, ^bb90, ^bb91
            ^bb90:
              %508 = arith.constant 1 : i1
              llvm.store %508, %469 : i1, !llvm.ptr
              cf.br ^bb92
            ^bb91:
              cf.br ^bb92
            ^bb92:
            %509 = llvm.load %485 : !llvm.ptr -> i64
            %510 = arith.constant 1 : i32
            %512 = arith.extsi %510 : i32 to i64
            %511 = arith.addi %509, %512 : i64
            llvm.store %511, %485 : i64, !llvm.ptr
            cf.br ^bb87
          ^bb89:
          %513 = llvm.load %475 : !llvm.ptr -> i64
          %514 = arith.constant 1 : i32
          %516 = arith.extsi %514 : i32 to i64
          %515 = arith.addi %513, %516 : i64
          llvm.store %515, %475 : i64, !llvm.ptr
          cf.br ^bb84
        ^bb86:
        %517 = llvm.load %469 : !llvm.ptr -> i1
        cf.cond_br %517, ^bb93, ^bb94
        ^bb93:
          %518 = llvm.load %449 : !llvm.ptr -> i64
          %520 = arith.index_cast %464 : index to i64
          %519 = func.call @get_number(%520, %arg0) : (i64, i64) -> i64
          %521 = arith.addi %518, %519 : i64
          llvm.store %521, %449 : i64, !llvm.ptr
          cf.br ^bb95
        ^bb94:
          cf.br ^bb95
        ^bb95:
        cf.br ^bb83
      ^bb82:
        cf.br ^bb83
      ^bb83:
      %522 = arith.addi %464, %456 : index
      cf.br ^bb78(%522 : index)
    ^bb80(%523: index):
    %524 = llvm.load %449 : !llvm.ptr -> i64
    func.return %524 : i64
  }
  func.func @main() -> i32 {
    %525 = arith.constant 5678027 : i32
    %526 = arith.extsi %525 : i32 to i64
    %527 = arith.constant 7208785 : i32
    %528 = arith.extsi %527 : i32 to i64
    %529 = llvm.mlir.addressof @str_0 : !llvm.ptr
    %530 = func.call @process_line(%526) : (i64) -> i64
    %531 = func.call @process_line(%528) : (i64) -> i64
    %532 = arith.addi %530, %531 : i64
    %533 = llvm.call @printf(%529, %532) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
    %534 = llvm.mlir.addressof @sieve : !llvm.ptr
    %535 = llvm.load %534 : !llvm.ptr -> !llvm.ptr
    %536 = llvm.mlir.zero : !llvm.ptr
    %537 = llvm.icmp "ne" %535, %536 : !llvm.ptr
    cf.cond_br %537, ^bb96, ^bb97
    ^bb96:
      %539 = llvm.mlir.addressof @sieve : !llvm.ptr
      %540 = llvm.load %539 : !llvm.ptr -> !llvm.ptr
      func.call @free(%540) : (!llvm.ptr) -> ()
      cf.br ^bb98
    ^bb97:
      cf.br ^bb98
    ^bb98:
    %541 = llvm.mlir.addressof @segment : !llvm.ptr
    %542 = llvm.load %541 : !llvm.ptr -> !llvm.ptr
    %543 = llvm.mlir.zero : !llvm.ptr
    %544 = llvm.icmp "ne" %542, %543 : !llvm.ptr
    cf.cond_br %544, ^bb99, ^bb100
    ^bb99:
      %546 = llvm.mlir.addressof @segment : !llvm.ptr
      %547 = llvm.load %546 : !llvm.ptr -> !llvm.ptr
      func.call @free(%547) : (!llvm.ptr) -> ()
      cf.br ^bb101
    ^bb100:
      cf.br ^bb101
    ^bb101:
    %548 = llvm.mlir.addressof @three_plus : !llvm.ptr
    %549 = llvm.load %548 : !llvm.ptr -> !llvm.ptr
    %550 = llvm.mlir.zero : !llvm.ptr
    %551 = llvm.icmp "ne" %549, %550 : !llvm.ptr
    cf.cond_br %551, ^bb102, ^bb103
    ^bb102:
      %553 = llvm.mlir.addressof @three_plus : !llvm.ptr
      %554 = llvm.load %553 : !llvm.ptr -> !llvm.ptr
      func.call @free(%554) : (!llvm.ptr) -> ()
      cf.br ^bb104
    ^bb103:
      cf.br ^bb104
    ^bb104:
    %555 = arith.constant 0 : i32
    func.return %555 : i32
  }
}