Problem 563

Robot Walks Sum of minimal areas with exactly k rectangular tilings for k=2..100.

Answer27186308211734760
Output27186308211734760
StatusPASS
Native helperno
Runtime2380 ms
Peak memory27968 KB
Time complexityO(n) (estimated)
Space complexityO(n^2) (estimated)

Performance comparison

MetricOur solutionBest known
Time complexityO(n)O(n * s)
Space complexityO(n^2)O(s)
ApproachFlow solutionTiling DP with state
VerdictUnknown

Flow source

# Project Euler 563
# Robot Walks
# Sum of minimal areas with exactly k rectangular tilings for k=2..100.

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

const IGNORE: i64 = 2300000000000000
const MAX_COMB: i64 = 100

let mut HEAP: ptr<i64> = null
let mut HLEN: i64 = 0
let mut HCAP: i64 = 0

function heap_push(v: i64) -> void {
    if HLEN + 1 >= HCAP {
        if HCAP == 0 { HCAP = 1024 } else { HCAP = HCAP * 2 }
        HEAP = realloc(HEAP, HCAP * 8)
    }
    let mut i: i64 = HLEN
    HLEN = HLEN + 1
    HEAP[i] = v
    while i > 0 {
        let p: i64 = (i - 1) / 2
        if HEAP[p] <= HEAP[i] { break }
        let t: i64 = HEAP[p]
        HEAP[p] = HEAP[i]
        HEAP[i] = t
        i = p
    }
}

function heap_pop() -> i64 {
    let res: i64 = HEAP[0]
    HLEN = HLEN - 1
    HEAP[0] = HEAP[HLEN]
    let mut i: i64 = 0
    while true {
        let l: i64 = 2 * i + 1
        let r: i64 = l + 1
        let mut smallest: i64 = i
        if l < HLEN && HEAP[l] < HEAP[smallest] { smallest = l }
        if r < HLEN && HEAP[r] < HEAP[smallest] { smallest = r }
        if smallest == i { break }
        let t: i64 = HEAP[i]
        HEAP[i] = HEAP[smallest]
        HEAP[smallest] = t
        i = smallest
    }
    return res
}

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 bisect_right(sides: ptr<i64>, n: i64, x: i64) -> i64 {
    let mut lo: i64 = 0
    let mut hi: i64 = n
    while lo < hi {
        let mid: i64 = (lo + hi) / 2
        if sides[mid] <= x { lo = mid + 1 } else { hi = mid }
    }
    return lo
}

function solve() -> i64 {
    let solutions: ptr<i64> = calloc(MAX_COMB + 1, 8)
    if solutions == null { return -1 }
    let mut num_solutions: i64 = 1
    let mut result: i64 = 0

    HCAP = 4096
    HEAP = calloc(HCAP, 8)
    HLEN = 0
    heap_push(1)

    let mut sides_cap: i64 = 200000
    let mut sides: ptr<i64> = calloc(sides_cap, 8)
    let mut sides_len: i64 = 0
    if sides == null { return -1 }

    let multiples: ptr<i64> = calloc(9, 8)
    multiples[0] = 23
    multiples[1] = 19
    multiples[2] = 17
    multiples[3] = 13
    multiples[4] = 11
    multiples[5] = 7
    multiples[6] = 5
    multiples[7] = 3
    multiples[8] = 2

    while num_solutions < MAX_COMB {
        let current: i64 = heap_pop()
        if current * current <= IGNORE {
            if sides_len + 1 >= sides_cap {
                sides_cap = sides_cap * 2
                sides = realloc(sides, sides_cap * 8)
            }
            sides[sides_len] = current
            sides_len = sides_len + 1
        }

        let mut mi: i64 = 0
        while mi < 9 {
            let multiple: i64 = multiples[mi]
            let next_value: i64 = multiple * current
            if next_value <= IGNORE {
                heap_push(next_value)
            }
            if current % multiple == 0 { break }
            mi = mi + 1
        }

        if num_solutions >= 56 {
            if current % 800 != 0 { continue }
        } elif num_solutions >= 8 {
            if current % 80 != 0 { continue }
        } elif current % 40 != 0 {
            continue
        }

        let mut idx: i64 = bisect_right(sides, sides_len, isqrt(current)) - 1
        if idx <= 0 { continue }

        let mut num_found: i64 = 0
        while idx > 0 {
            let short_side: i64 = sides[idx]
            idx = idx - 1
            let long_side: i64 = current / short_side
            if long_side * 10 > short_side * 11 { break }
            if long_side * short_side == current {
                num_found = num_found + 1
            }
        }

        if num_found < 2 || num_found > MAX_COMB { continue }
        if solutions[num_found] == 0 {
            solutions[num_found] = current
            result = result + current
            num_solutions = num_solutions + 1
        }
    }

    free(solutions)
    free(HEAP)
    free(sides)
    free(multiples)
    return result
}

function main() -> i32 {
    printf("%lld\n", solve())
    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; }

void heap_push_i64(int64_t v);
int64_t heap_pop(void);
int64_t isqrt_i64(int64_t n);
int64_t bisect_right_ptr_i64_i64_i64(int64_t* sides, int64_t n, int64_t x);
int64_t solve(void);
int32_t main(void);

static const int64_t IGNORE = 2300000000000000;
static const int64_t MAX_COMB = 100;

/* Module statics */
static int64_t* HEAP = NULL;
static int64_t HLEN = 0;
static int64_t HCAP = 0;




void heap_push_i64(int64_t v) {
    if ((HLEN + 1) >= HCAP) {
        if (HCAP == 0) {
            HCAP = 1024;
        } else {
            HCAP = (HCAP * 2);
        }
        HEAP = realloc(HEAP, (HCAP * 8));
    }
    int64_t i = HLEN;
    HLEN = (HLEN + 1);
    HEAP[i] = v;
    while (i > 0) {
        int64_t p = FLOW_CHECKED_DIV(((i - 1)), (2));
        if (HEAP[p] <= HEAP[i]) {
            break;
        }
        int64_t t = HEAP[p];
        HEAP[p] = HEAP[i];
        HEAP[i] = t;
        i = p;
    }
}

int64_t heap_pop(void) {
    int64_t res = HEAP[0];
    HLEN = (HLEN - 1);
    HEAP[0] = HEAP[HLEN];
    int64_t i = 0;
    while (1) {
        int64_t l = ((2 * i) + 1);
        int64_t r = (l + 1);
        int64_t smallest = i;
        if ((l < HLEN && HEAP[l] < HEAP[smallest])) {
            smallest = l;
        }
        if ((r < HLEN && HEAP[r] < HEAP[smallest])) {
            smallest = r;
        }
        if (smallest == i) {
            break;
        }
        int64_t t = HEAP[i];
        HEAP[i] = HEAP[smallest];
        HEAP[smallest] = t;
        i = smallest;
    }
    return res;
}

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;
}

int64_t bisect_right_ptr_i64_i64_i64(int64_t* sides, int64_t n, int64_t x) {
    int64_t lo = 0;
    int64_t hi = n;
    while (lo < hi) {
        int64_t mid = FLOW_CHECKED_DIV(((lo + hi)), (2));
        if (sides[mid] <= x) {
            lo = (mid + 1);
        } else {
            hi = mid;
        }
    }
    return lo;
}

int64_t solve(void) {
    int64_t* solutions = (int64_t*)(calloc((MAX_COMB + 1), 8));
    if (solutions == NULL) {
        return (-1);
    }
    int64_t num_solutions = 1;
    int64_t result = 0;
    HCAP = 4096;
    HEAP = calloc(HCAP, 8);
    HLEN = 0;
    heap_push_i64(1);
    int64_t sides_cap = 200000;
    int64_t* sides = (int64_t*)(calloc(sides_cap, 8));
    int64_t sides_len = 0;
    if (sides == NULL) {
        return (-1);
    }
    int64_t* multiples = (int64_t*)(calloc(9, 8));
    multiples[0] = 23;
    multiples[1] = 19;
    multiples[2] = 17;
    multiples[3] = 13;
    multiples[4] = 11;
    multiples[5] = 7;
    multiples[6] = 5;
    multiples[7] = 3;
    multiples[8] = 2;
    while (num_solutions < MAX_COMB) {
        int64_t current = heap_pop();
        if ((current * current) <= IGNORE) {
            if ((sides_len + 1) >= sides_cap) {
                sides_cap = (sides_cap * 2);
                sides = realloc(sides, (sides_cap * 8));
            }
            sides[sides_len] = current;
            sides_len = (sides_len + 1);
        }
        int64_t mi = 0;
        while (mi < 9) {
            int64_t multiple = multiples[mi];
            int64_t next_value = (multiple * current);
            if (next_value <= IGNORE) {
                heap_push_i64(next_value);
            }
            if (FLOW_CHECKED_MOD((current), (multiple)) == 0) {
                break;
            }
            mi = (mi + 1);
        }
        if (num_solutions >= 56) {
            if (FLOW_CHECKED_MOD((current), (800)) != 0) {
                continue;
            }
        } else if (num_solutions >= 8) {
            if (FLOW_CHECKED_MOD((current), (80)) != 0) {
                continue;
            }
        } else if (FLOW_CHECKED_MOD((current), (40)) != 0) {
            continue;
        }
        int64_t idx = (bisect_right_ptr_i64_i64_i64(sides, sides_len, isqrt_i64(current)) - 1);
        if (idx <= 0) {
            continue;
        }
        int64_t num_found = 0;
        while (idx > 0) {
            int64_t short_side = sides[idx];
            idx = (idx - 1);
            int64_t long_side = FLOW_CHECKED_DIV((current), (short_side));
            if ((long_side * 10) > (short_side * 11)) {
                break;
            }
            if ((long_side * short_side) == current) {
                num_found = (num_found + 1);
            }
        }
        if ((num_found < 2 || num_found > MAX_COMB)) {
            continue;
        }
        if (solutions[num_found] == 0) {
            solutions[num_found] = current;
            result = (result + current);
            num_solutions = (num_solutions + 1);
        }
    }
    free(solutions);
    free(HEAP);
    free(sides);
    free(multiples);
    return result;
}

int32_t main(void) {
    printf("%lld\n", solve());
    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 @realloc(!llvm.ptr, i64) -> !llvm.ptr
  // Constant: IGNORE
  llvm.mlir.global internal constant @IGNORE(2300000000000000 : i64) : i64
  // Constant: MAX_COMB
  llvm.mlir.global internal constant @MAX_COMB(100 : i64) : i64
  // Module static: HEAP
  llvm.mlir.global internal @HEAP() {addr_space = 0 : i32} : !llvm.ptr {
    %0 = llvm.mlir.zero : !llvm.ptr
    llvm.return %0 : !llvm.ptr
  }
  // Module static: HLEN
  llvm.mlir.global internal @HLEN(0 : i64) : i64
  // Module static: HCAP
  llvm.mlir.global internal @HCAP(0 : i64) : i64
  func.func @heap_push(%arg0: i64) -> () {
    %1 = llvm.mlir.addressof @HLEN : !llvm.ptr
    %2 = llvm.load %1 : !llvm.ptr -> i64
    %3 = arith.constant 1 : i32
    %5 = arith.extsi %3 : i32 to i64
    %4 = arith.addi %2, %5 : i64
    %6 = llvm.mlir.addressof @HCAP : !llvm.ptr
    %7 = llvm.load %6 : !llvm.ptr -> i64
    %8 = arith.cmpi sge, %4, %7 : i64
    cf.cond_br %8, ^bb0, ^bb1
    ^bb0:
      %9 = llvm.mlir.addressof @HCAP : !llvm.ptr
      %10 = llvm.load %9 : !llvm.ptr -> i64
      %11 = arith.constant 0 : i32
      %13 = arith.extsi %11 : i32 to i64
      %12 = arith.cmpi eq, %10, %13 : i64
      cf.cond_br %12, ^bb3, ^bb4
      ^bb3:
        %14 = arith.constant 1024 : i32
        %15 = arith.extsi %14 : i32 to i64
        %16 = llvm.mlir.addressof @HCAP : !llvm.ptr
        llvm.store %15, %16 : i64, !llvm.ptr
        cf.br ^bb5
      ^bb4:
        %17 = llvm.mlir.addressof @HCAP : !llvm.ptr
        %18 = llvm.load %17 : !llvm.ptr -> i64
        %19 = arith.constant 2 : i32
        %21 = arith.extsi %19 : i32 to i64
        %20 = arith.muli %18, %21 : i64
        %22 = llvm.mlir.addressof @HCAP : !llvm.ptr
        llvm.store %20, %22 : i64, !llvm.ptr
        cf.br ^bb5
      ^bb5:
      %24 = llvm.mlir.addressof @HEAP : !llvm.ptr
      %25 = llvm.load %24 : !llvm.ptr -> !llvm.ptr
      %26 = llvm.mlir.addressof @HCAP : !llvm.ptr
      %27 = llvm.load %26 : !llvm.ptr -> i64
      %28 = arith.constant 8 : i32
      %30 = arith.extsi %28 : i32 to i64
      %29 = arith.muli %27, %30 : i64
      %23 = func.call @realloc(%25, %29) : (!llvm.ptr, i64) -> !llvm.ptr
      %31 = llvm.mlir.addressof @HEAP : !llvm.ptr
      llvm.store %23, %31 : !llvm.ptr, !llvm.ptr
      cf.br ^bb2
    ^bb1:
      cf.br ^bb2
    ^bb2:
    %32 = llvm.mlir.addressof @HLEN : !llvm.ptr
    %33 = llvm.load %32 : !llvm.ptr -> i64
    %34 = llvm.mlir.constant(1 : i64) : i64
    %35 = llvm.alloca %34 x i64 : (i64) -> !llvm.ptr
    llvm.store %33, %35 : i64, !llvm.ptr
    %36 = llvm.mlir.addressof @HLEN : !llvm.ptr
    %37 = llvm.load %36 : !llvm.ptr -> i64
    %38 = arith.constant 1 : i32
    %40 = arith.extsi %38 : i32 to i64
    %39 = arith.addi %37, %40 : i64
    %41 = llvm.mlir.addressof @HLEN : !llvm.ptr
    llvm.store %39, %41 : i64, !llvm.ptr
    %42 = llvm.mlir.addressof @HEAP : !llvm.ptr
    %43 = llvm.load %42 : !llvm.ptr -> !llvm.ptr
    %44 = llvm.load %35 : !llvm.ptr -> i64
    %45 = llvm.getelementptr %43[%44] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %arg0, %45 : i64, !llvm.ptr
    cf.br ^bb6
    ^bb6:
    %46 = llvm.load %35 : !llvm.ptr -> i64
    %47 = arith.constant 0 : i32
    %49 = arith.extsi %47 : i32 to i64
    %48 = arith.cmpi sgt, %46, %49 : i64
    cf.cond_br %48, ^bb7, ^bb8
    ^bb7:
      %50 = llvm.load %35 : !llvm.ptr -> i64
      %51 = arith.constant 1 : i32
      %53 = arith.extsi %51 : i32 to i64
      %52 = arith.subi %50, %53 : i64
      %54 = arith.constant 2 : i32
      %56 = arith.extsi %54 : i32 to i64
      %55 = arith.divsi %52, %56 : i64
      %58 = llvm.mlir.addressof @HEAP : !llvm.ptr
      %59 = llvm.load %58 : !llvm.ptr -> !llvm.ptr
      %60 = llvm.getelementptr %59[%55] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %57 = llvm.load %60 : !llvm.ptr -> i64
      %62 = llvm.mlir.addressof @HEAP : !llvm.ptr
      %63 = llvm.load %62 : !llvm.ptr -> !llvm.ptr
      %64 = llvm.load %35 : !llvm.ptr -> i64
      %65 = llvm.getelementptr %63[%64] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %61 = llvm.load %65 : !llvm.ptr -> i64
      %66 = arith.cmpi sle, %57, %61 : i64
      cf.cond_br %66, ^bb9, ^bb10
      ^bb9:
        cf.br ^bb8
      ^bb10:
        cf.br ^bb11
      ^bb11:
      %68 = llvm.mlir.addressof @HEAP : !llvm.ptr
      %69 = llvm.load %68 : !llvm.ptr -> !llvm.ptr
      %70 = llvm.getelementptr %69[%55] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %67 = llvm.load %70 : !llvm.ptr -> i64
      %72 = llvm.mlir.addressof @HEAP : !llvm.ptr
      %73 = llvm.load %72 : !llvm.ptr -> !llvm.ptr
      %74 = llvm.load %35 : !llvm.ptr -> i64
      %75 = llvm.getelementptr %73[%74] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %71 = llvm.load %75 : !llvm.ptr -> i64
      %76 = llvm.mlir.addressof @HEAP : !llvm.ptr
      %77 = llvm.load %76 : !llvm.ptr -> !llvm.ptr
      %78 = llvm.getelementptr %77[%55] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %71, %78 : i64, !llvm.ptr
      %79 = llvm.mlir.addressof @HEAP : !llvm.ptr
      %80 = llvm.load %79 : !llvm.ptr -> !llvm.ptr
      %81 = llvm.load %35 : !llvm.ptr -> i64
      %82 = llvm.getelementptr %80[%81] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %67, %82 : i64, !llvm.ptr
      llvm.store %55, %35 : i64, !llvm.ptr
      cf.br ^bb6
    ^bb8:
    func.return
  }
  func.func @heap_pop() -> i64 {
    %84 = llvm.mlir.addressof @HEAP : !llvm.ptr
    %85 = llvm.load %84 : !llvm.ptr -> !llvm.ptr
    %86 = arith.constant 0 : i32
    %87 = arith.extsi %86 : i32 to i64
    %88 = llvm.getelementptr %85[%87] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    %83 = llvm.load %88 : !llvm.ptr -> i64
    %89 = llvm.mlir.addressof @HLEN : !llvm.ptr
    %90 = llvm.load %89 : !llvm.ptr -> i64
    %91 = arith.constant 1 : i32
    %93 = arith.extsi %91 : i32 to i64
    %92 = arith.subi %90, %93 : i64
    %94 = llvm.mlir.addressof @HLEN : !llvm.ptr
    llvm.store %92, %94 : i64, !llvm.ptr
    %96 = llvm.mlir.addressof @HEAP : !llvm.ptr
    %97 = llvm.load %96 : !llvm.ptr -> !llvm.ptr
    %98 = llvm.mlir.addressof @HLEN : !llvm.ptr
    %99 = llvm.load %98 : !llvm.ptr -> i64
    %100 = llvm.getelementptr %97[%99] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    %95 = llvm.load %100 : !llvm.ptr -> i64
    %101 = llvm.mlir.addressof @HEAP : !llvm.ptr
    %102 = llvm.load %101 : !llvm.ptr -> !llvm.ptr
    %103 = arith.constant 0 : i32
    %104 = arith.extsi %103 : i32 to i64
    %105 = llvm.getelementptr %102[%104] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %95, %105 : i64, !llvm.ptr
    %106 = arith.constant 0 : i32
    %107 = arith.extsi %106 : i32 to i64
    %108 = llvm.mlir.constant(1 : i64) : i64
    %109 = llvm.alloca %108 x i64 : (i64) -> !llvm.ptr
    llvm.store %107, %109 : i64, !llvm.ptr
    cf.br ^bb12
    ^bb12:
    %110 = arith.constant 1 : i1
    cf.cond_br %110, ^bb13, ^bb14
    ^bb13:
      %111 = arith.constant 2 : i32
      %112 = llvm.load %109 : !llvm.ptr -> i64
      %114 = arith.extsi %111 : i32 to i64
      %113 = arith.muli %114, %112 : i64
      %115 = arith.constant 1 : i32
      %117 = arith.extsi %115 : i32 to i64
      %116 = arith.addi %113, %117 : i64
      %118 = arith.constant 1 : i32
      %120 = arith.extsi %118 : i32 to i64
      %119 = arith.addi %116, %120 : i64
      %121 = llvm.load %109 : !llvm.ptr -> i64
      %122 = llvm.mlir.constant(1 : i64) : i64
      %123 = llvm.alloca %122 x i64 : (i64) -> !llvm.ptr
      llvm.store %121, %123 : i64, !llvm.ptr
      %124 = llvm.mlir.addressof @HLEN : !llvm.ptr
      %125 = llvm.load %124 : !llvm.ptr -> i64
      %126 = arith.cmpi slt, %116, %125 : i64
      %127 = scf.if %126 -> (i1) {
        %129 = llvm.mlir.addressof @HEAP : !llvm.ptr
        %130 = llvm.load %129 : !llvm.ptr -> !llvm.ptr
        %131 = llvm.getelementptr %130[%116] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %128 = llvm.load %131 : !llvm.ptr -> i64
        %133 = llvm.mlir.addressof @HEAP : !llvm.ptr
        %134 = llvm.load %133 : !llvm.ptr -> !llvm.ptr
        %135 = llvm.load %123 : !llvm.ptr -> i64
        %136 = llvm.getelementptr %134[%135] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %132 = llvm.load %136 : !llvm.ptr -> i64
        %137 = arith.cmpi slt, %128, %132 : i64
        scf.yield %137 : i1
      } else {
        %138 = arith.constant false
        scf.yield %138 : i1
      }
      cf.cond_br %127, ^bb15, ^bb16
      ^bb15:
        llvm.store %116, %123 : i64, !llvm.ptr
        cf.br ^bb17
      ^bb16:
        cf.br ^bb17
      ^bb17:
      %139 = llvm.mlir.addressof @HLEN : !llvm.ptr
      %140 = llvm.load %139 : !llvm.ptr -> i64
      %141 = arith.cmpi slt, %119, %140 : i64
      %142 = scf.if %141 -> (i1) {
        %144 = llvm.mlir.addressof @HEAP : !llvm.ptr
        %145 = llvm.load %144 : !llvm.ptr -> !llvm.ptr
        %146 = llvm.getelementptr %145[%119] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %143 = llvm.load %146 : !llvm.ptr -> i64
        %148 = llvm.mlir.addressof @HEAP : !llvm.ptr
        %149 = llvm.load %148 : !llvm.ptr -> !llvm.ptr
        %150 = llvm.load %123 : !llvm.ptr -> i64
        %151 = llvm.getelementptr %149[%150] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %147 = llvm.load %151 : !llvm.ptr -> i64
        %152 = arith.cmpi slt, %143, %147 : i64
        scf.yield %152 : i1
      } else {
        %153 = arith.constant false
        scf.yield %153 : i1
      }
      cf.cond_br %142, ^bb18, ^bb19
      ^bb18:
        llvm.store %119, %123 : i64, !llvm.ptr
        cf.br ^bb20
      ^bb19:
        cf.br ^bb20
      ^bb20:
      %154 = llvm.load %123 : !llvm.ptr -> i64
      %155 = llvm.load %109 : !llvm.ptr -> i64
      %156 = arith.cmpi eq, %154, %155 : i64
      cf.cond_br %156, ^bb21, ^bb22
      ^bb21:
        cf.br ^bb14
      ^bb22:
        cf.br ^bb23
      ^bb23:
      %158 = llvm.mlir.addressof @HEAP : !llvm.ptr
      %159 = llvm.load %158 : !llvm.ptr -> !llvm.ptr
      %160 = llvm.load %109 : !llvm.ptr -> i64
      %161 = llvm.getelementptr %159[%160] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %157 = llvm.load %161 : !llvm.ptr -> i64
      %163 = llvm.mlir.addressof @HEAP : !llvm.ptr
      %164 = llvm.load %163 : !llvm.ptr -> !llvm.ptr
      %165 = llvm.load %123 : !llvm.ptr -> i64
      %166 = llvm.getelementptr %164[%165] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %162 = llvm.load %166 : !llvm.ptr -> i64
      %167 = llvm.mlir.addressof @HEAP : !llvm.ptr
      %168 = llvm.load %167 : !llvm.ptr -> !llvm.ptr
      %169 = llvm.load %109 : !llvm.ptr -> i64
      %170 = llvm.getelementptr %168[%169] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %162, %170 : i64, !llvm.ptr
      %171 = llvm.mlir.addressof @HEAP : !llvm.ptr
      %172 = llvm.load %171 : !llvm.ptr -> !llvm.ptr
      %173 = llvm.load %123 : !llvm.ptr -> i64
      %174 = llvm.getelementptr %172[%173] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %157, %174 : i64, !llvm.ptr
      %175 = llvm.load %123 : !llvm.ptr -> i64
      llvm.store %175, %109 : i64, !llvm.ptr
      cf.br ^bb12
    ^bb14:
    func.return %83 : i64
  }
  func.func @isqrt(%arg0: i64) -> i64 {
    %176 = arith.constant 0 : i32
    %178 = arith.extsi %176 : i32 to i64
    %177 = arith.cmpi sle, %arg0, %178 : i64
    cf.cond_br %177, ^bb24, ^bb25
    ^bb24:
      %179 = arith.constant 0 : i32
      %180 = arith.extsi %179 : i32 to i64
      func.return %180 : i64
    ^bb25:
      cf.br ^bb26
    ^bb26:
    %181 = llvm.mlir.constant(1 : i64) : i64
    %182 = llvm.alloca %181 x i64 : (i64) -> !llvm.ptr
    llvm.store %arg0, %182 : i64, !llvm.ptr
    %183 = llvm.load %182 : !llvm.ptr -> i64
    %184 = arith.constant 1 : i32
    %186 = arith.extsi %184 : i32 to i64
    %185 = arith.addi %183, %186 : i64
    %187 = arith.constant 2 : i32
    %189 = arith.extsi %187 : i32 to i64
    %188 = arith.divsi %185, %189 : i64
    %190 = llvm.mlir.constant(1 : i64) : i64
    %191 = llvm.alloca %190 x i64 : (i64) -> !llvm.ptr
    llvm.store %188, %191 : i64, !llvm.ptr
    cf.br ^bb27
    ^bb27:
    %192 = llvm.load %191 : !llvm.ptr -> i64
    %193 = llvm.load %182 : !llvm.ptr -> i64
    %194 = arith.cmpi slt, %192, %193 : i64
    cf.cond_br %194, ^bb28, ^bb29
    ^bb28:
      %195 = llvm.load %191 : !llvm.ptr -> i64
      llvm.store %195, %182 : i64, !llvm.ptr
      %196 = llvm.load %182 : !llvm.ptr -> i64
      %197 = llvm.load %182 : !llvm.ptr -> i64
      %198 = arith.divsi %arg0, %197 : i64
      %199 = arith.addi %196, %198 : i64
      %200 = arith.constant 2 : i32
      %202 = arith.extsi %200 : i32 to i64
      %201 = arith.divsi %199, %202 : i64
      llvm.store %201, %191 : i64, !llvm.ptr
      cf.br ^bb27
    ^bb29:
    %203 = llvm.load %182 : !llvm.ptr -> i64
    func.return %203 : i64
  }
  func.func @bisect_right(%arg0: !llvm.ptr, %arg1: i64, %arg2: i64) -> i64 {
    %204 = arith.constant 0 : i32
    %205 = arith.extsi %204 : i32 to i64
    %206 = llvm.mlir.constant(1 : i64) : i64
    %207 = llvm.alloca %206 x i64 : (i64) -> !llvm.ptr
    llvm.store %205, %207 : i64, !llvm.ptr
    %208 = llvm.mlir.constant(1 : i64) : i64
    %209 = llvm.alloca %208 x i64 : (i64) -> !llvm.ptr
    llvm.store %arg1, %209 : i64, !llvm.ptr
    cf.br ^bb30
    ^bb30:
    %210 = llvm.load %207 : !llvm.ptr -> i64
    %211 = llvm.load %209 : !llvm.ptr -> i64
    %212 = arith.cmpi slt, %210, %211 : i64
    cf.cond_br %212, ^bb31, ^bb32
    ^bb31:
      %213 = llvm.load %207 : !llvm.ptr -> i64
      %214 = llvm.load %209 : !llvm.ptr -> i64
      %215 = arith.addi %213, %214 : i64
      %216 = arith.constant 2 : i32
      %218 = arith.extsi %216 : i32 to i64
      %217 = arith.divsi %215, %218 : i64
      %220 = llvm.getelementptr %arg0[%217] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %219 = llvm.load %220 : !llvm.ptr -> i64
      %221 = arith.cmpi sle, %219, %arg2 : i64
      cf.cond_br %221, ^bb33, ^bb34
      ^bb33:
        %222 = arith.constant 1 : i32
        %224 = arith.extsi %222 : i32 to i64
        %223 = arith.addi %217, %224 : i64
        llvm.store %223, %207 : i64, !llvm.ptr
        cf.br ^bb35
      ^bb34:
        llvm.store %217, %209 : i64, !llvm.ptr
        cf.br ^bb35
      ^bb35:
      cf.br ^bb30
    ^bb32:
    %225 = llvm.load %207 : !llvm.ptr -> i64
    func.return %225 : i64
  }
  func.func @solve() -> i64 {
    %227 = llvm.mlir.addressof @MAX_COMB : !llvm.ptr
    %228 = llvm.load %227 : !llvm.ptr -> i64
    %229 = arith.constant 1 : i32
    %231 = arith.extsi %229 : i32 to i64
    %230 = arith.addi %228, %231 : i64
    %232 = arith.constant 8 : i32
    %233 = arith.extsi %232 : i32 to i64
    %226 = func.call @calloc(%230, %233) : (i64, i64) -> !llvm.ptr
    %234 = llvm.mlir.zero : !llvm.ptr
    %235 = llvm.icmp "eq" %226, %234 : !llvm.ptr
    cf.cond_br %235, ^bb36, ^bb37
    ^bb36:
      %236 = arith.constant 1 : i32
      %238 = arith.constant 0 : i32
      %237 = arith.subi %238, %236 : i32
      %239 = arith.extsi %237 : i32 to i64
      func.return %239 : i64
    ^bb37:
      cf.br ^bb38
    ^bb38:
    %240 = arith.constant 1 : i32
    %241 = arith.extsi %240 : i32 to i64
    %242 = llvm.mlir.constant(1 : i64) : i64
    %243 = llvm.alloca %242 x i64 : (i64) -> !llvm.ptr
    llvm.store %241, %243 : i64, !llvm.ptr
    %244 = arith.constant 0 : i32
    %245 = arith.extsi %244 : i32 to i64
    %246 = llvm.mlir.constant(1 : i64) : i64
    %247 = llvm.alloca %246 x i64 : (i64) -> !llvm.ptr
    llvm.store %245, %247 : i64, !llvm.ptr
    %248 = arith.constant 4096 : i32
    %249 = arith.extsi %248 : i32 to i64
    %250 = llvm.mlir.addressof @HCAP : !llvm.ptr
    llvm.store %249, %250 : i64, !llvm.ptr
    %252 = llvm.mlir.addressof @HCAP : !llvm.ptr
    %253 = llvm.load %252 : !llvm.ptr -> i64
    %254 = arith.constant 8 : i32
    %255 = arith.extsi %254 : i32 to i64
    %251 = func.call @calloc(%253, %255) : (i64, i64) -> !llvm.ptr
    %256 = llvm.mlir.addressof @HEAP : !llvm.ptr
    llvm.store %251, %256 : !llvm.ptr, !llvm.ptr
    %257 = arith.constant 0 : i32
    %258 = arith.extsi %257 : i32 to i64
    %259 = llvm.mlir.addressof @HLEN : !llvm.ptr
    llvm.store %258, %259 : i64, !llvm.ptr
    %261 = arith.constant 1 : i32
    %262 = arith.extsi %261 : i32 to i64
    func.call @heap_push(%262) : (i64) -> ()
    %263 = arith.constant 200000 : i32
    %264 = arith.extsi %263 : i32 to i64
    %265 = llvm.mlir.constant(1 : i64) : i64
    %266 = llvm.alloca %265 x i64 : (i64) -> !llvm.ptr
    llvm.store %264, %266 : i64, !llvm.ptr
    %268 = llvm.load %266 : !llvm.ptr -> i64
    %269 = arith.constant 8 : i32
    %270 = arith.extsi %269 : i32 to i64
    %267 = func.call @calloc(%268, %270) : (i64, i64) -> !llvm.ptr
    %271 = llvm.mlir.constant(1 : i64) : i64
    %272 = llvm.alloca %271 x !llvm.ptr : (i64) -> !llvm.ptr
    llvm.store %267, %272 : !llvm.ptr, !llvm.ptr
    %273 = arith.constant 0 : i32
    %274 = arith.extsi %273 : i32 to i64
    %275 = llvm.mlir.constant(1 : i64) : i64
    %276 = llvm.alloca %275 x i64 : (i64) -> !llvm.ptr
    llvm.store %274, %276 : i64, !llvm.ptr
    %277 = llvm.load %272 : !llvm.ptr -> !llvm.ptr
    %278 = llvm.mlir.zero : !llvm.ptr
    %279 = llvm.icmp "eq" %277, %278 : !llvm.ptr
    cf.cond_br %279, ^bb39, ^bb40
    ^bb39:
      %280 = arith.constant 1 : i32
      %282 = arith.constant 0 : i32
      %281 = arith.subi %282, %280 : i32
      %283 = arith.extsi %281 : i32 to i64
      func.return %283 : i64
    ^bb40:
      cf.br ^bb41
    ^bb41:
    %285 = arith.constant 9 : i32
    %286 = arith.constant 8 : i32
    %287 = arith.extsi %285 : i32 to i64
    %288 = arith.extsi %286 : i32 to i64
    %284 = func.call @calloc(%287, %288) : (i64, i64) -> !llvm.ptr
    %289 = arith.constant 23 : i32
    %290 = arith.constant 0 : i32
    %291 = arith.extsi %289 : i32 to i64
    %292 = arith.extsi %290 : i32 to i64
    %293 = llvm.getelementptr %284[%292] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %291, %293 : i64, !llvm.ptr
    %294 = arith.constant 19 : i32
    %295 = arith.constant 1 : i32
    %296 = arith.extsi %294 : i32 to i64
    %297 = arith.extsi %295 : i32 to i64
    %298 = llvm.getelementptr %284[%297] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %296, %298 : i64, !llvm.ptr
    %299 = arith.constant 17 : i32
    %300 = arith.constant 2 : i32
    %301 = arith.extsi %299 : i32 to i64
    %302 = arith.extsi %300 : i32 to i64
    %303 = llvm.getelementptr %284[%302] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %301, %303 : i64, !llvm.ptr
    %304 = arith.constant 13 : i32
    %305 = arith.constant 3 : i32
    %306 = arith.extsi %304 : i32 to i64
    %307 = arith.extsi %305 : i32 to i64
    %308 = llvm.getelementptr %284[%307] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %306, %308 : i64, !llvm.ptr
    %309 = arith.constant 11 : i32
    %310 = arith.constant 4 : i32
    %311 = arith.extsi %309 : i32 to i64
    %312 = arith.extsi %310 : i32 to i64
    %313 = llvm.getelementptr %284[%312] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %311, %313 : i64, !llvm.ptr
    %314 = arith.constant 7 : i32
    %315 = arith.constant 5 : i32
    %316 = arith.extsi %314 : i32 to i64
    %317 = arith.extsi %315 : i32 to i64
    %318 = llvm.getelementptr %284[%317] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %316, %318 : i64, !llvm.ptr
    %319 = arith.constant 5 : i32
    %320 = arith.constant 6 : i32
    %321 = arith.extsi %319 : i32 to i64
    %322 = arith.extsi %320 : i32 to i64
    %323 = llvm.getelementptr %284[%322] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %321, %323 : i64, !llvm.ptr
    %324 = arith.constant 3 : i32
    %325 = arith.constant 7 : i32
    %326 = arith.extsi %324 : i32 to i64
    %327 = arith.extsi %325 : i32 to i64
    %328 = llvm.getelementptr %284[%327] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %326, %328 : i64, !llvm.ptr
    %329 = arith.constant 2 : i32
    %330 = arith.constant 8 : i32
    %331 = arith.extsi %329 : i32 to i64
    %332 = arith.extsi %330 : i32 to i64
    %333 = llvm.getelementptr %284[%332] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %331, %333 : i64, !llvm.ptr
    cf.br ^bb42
    ^bb42:
    %334 = llvm.load %243 : !llvm.ptr -> i64
    %335 = llvm.mlir.addressof @MAX_COMB : !llvm.ptr
    %336 = llvm.load %335 : !llvm.ptr -> i64
    %337 = arith.cmpi slt, %334, %336 : i64
    cf.cond_br %337, ^bb43, ^bb44
    ^bb43:
      %338 = func.call @heap_pop() : () -> i64
      %339 = arith.muli %338, %338 : i64
      %340 = llvm.mlir.addressof @IGNORE : !llvm.ptr
      %341 = llvm.load %340 : !llvm.ptr -> i64
      %342 = arith.cmpi sle, %339, %341 : i64
      cf.cond_br %342, ^bb45, ^bb46
      ^bb45:
        %343 = llvm.load %276 : !llvm.ptr -> i64
        %344 = arith.constant 1 : i32
        %346 = arith.extsi %344 : i32 to i64
        %345 = arith.addi %343, %346 : i64
        %347 = llvm.load %266 : !llvm.ptr -> i64
        %348 = arith.cmpi sge, %345, %347 : i64
        cf.cond_br %348, ^bb48, ^bb49
        ^bb48:
          %349 = llvm.load %266 : !llvm.ptr -> i64
          %350 = arith.constant 2 : i32
          %352 = arith.extsi %350 : i32 to i64
          %351 = arith.muli %349, %352 : i64
          llvm.store %351, %266 : i64, !llvm.ptr
          %354 = llvm.load %272 : !llvm.ptr -> !llvm.ptr
          %355 = llvm.load %266 : !llvm.ptr -> i64
          %356 = arith.constant 8 : i32
          %358 = arith.extsi %356 : i32 to i64
          %357 = arith.muli %355, %358 : i64
          %353 = func.call @realloc(%354, %357) : (!llvm.ptr, i64) -> !llvm.ptr
          llvm.store %353, %272 : !llvm.ptr, !llvm.ptr
          cf.br ^bb50
        ^bb49:
          cf.br ^bb50
        ^bb50:
        %359 = llvm.load %272 : !llvm.ptr -> !llvm.ptr
        %360 = llvm.load %276 : !llvm.ptr -> i64
        %361 = llvm.getelementptr %359[%360] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        llvm.store %338, %361 : i64, !llvm.ptr
        %362 = llvm.load %276 : !llvm.ptr -> i64
        %363 = arith.constant 1 : i32
        %365 = arith.extsi %363 : i32 to i64
        %364 = arith.addi %362, %365 : i64
        llvm.store %364, %276 : i64, !llvm.ptr
        cf.br ^bb47
      ^bb46:
        cf.br ^bb47
      ^bb47:
      %366 = arith.constant 0 : i32
      %367 = arith.extsi %366 : i32 to i64
      %368 = llvm.mlir.constant(1 : i64) : i64
      %369 = llvm.alloca %368 x i64 : (i64) -> !llvm.ptr
      llvm.store %367, %369 : i64, !llvm.ptr
      cf.br ^bb51
      ^bb51:
      %370 = llvm.load %369 : !llvm.ptr -> i64
      %371 = arith.constant 9 : i32
      %373 = arith.extsi %371 : i32 to i64
      %372 = arith.cmpi slt, %370, %373 : i64
      cf.cond_br %372, ^bb52, ^bb53
      ^bb52:
        %375 = llvm.load %369 : !llvm.ptr -> i64
        %376 = llvm.getelementptr %284[%375] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %374 = llvm.load %376 : !llvm.ptr -> i64
        %377 = arith.muli %374, %338 : i64
        %378 = llvm.mlir.addressof @IGNORE : !llvm.ptr
        %379 = llvm.load %378 : !llvm.ptr -> i64
        %380 = arith.cmpi sle, %377, %379 : i64
        cf.cond_br %380, ^bb54, ^bb55
        ^bb54:
          func.call @heap_push(%377) : (i64) -> ()
          cf.br ^bb56
        ^bb55:
          cf.br ^bb56
        ^bb56:
        %382 = arith.remsi %338, %374 : i64
        %383 = arith.constant 0 : i32
        %385 = arith.extsi %383 : i32 to i64
        %384 = arith.cmpi eq, %382, %385 : i64
        cf.cond_br %384, ^bb57, ^bb58
        ^bb57:
          cf.br ^bb53
        ^bb58:
          cf.br ^bb59
        ^bb59:
        %386 = llvm.load %369 : !llvm.ptr -> i64
        %387 = arith.constant 1 : i32
        %389 = arith.extsi %387 : i32 to i64
        %388 = arith.addi %386, %389 : i64
        llvm.store %388, %369 : i64, !llvm.ptr
        cf.br ^bb51
      ^bb53:
      %390 = llvm.load %243 : !llvm.ptr -> i64
      %391 = arith.constant 56 : i32
      %393 = arith.extsi %391 : i32 to i64
      %392 = arith.cmpi sge, %390, %393 : i64
      cf.cond_br %392, ^bb60, ^bb61
      ^bb60:
        %394 = arith.constant 800 : i32
        %396 = arith.extsi %394 : i32 to i64
        %395 = arith.remsi %338, %396 : i64
        %397 = arith.constant 0 : i32
        %399 = arith.extsi %397 : i32 to i64
        %398 = arith.cmpi ne, %395, %399 : i64
        cf.cond_br %398, ^bb63, ^bb64
        ^bb63:
          cf.br ^bb42
        ^bb64:
          cf.br ^bb65
        ^bb65:
        cf.br ^bb62
      ^bb61:
        %400 = llvm.load %243 : !llvm.ptr -> i64
        %401 = arith.constant 8 : i32
        %403 = arith.extsi %401 : i32 to i64
        %402 = arith.cmpi sge, %400, %403 : i64
        cf.cond_br %402, ^bb67, ^bb66
      ^bb67:
        %404 = arith.constant 80 : i32
        %406 = arith.extsi %404 : i32 to i64
        %405 = arith.remsi %338, %406 : i64
        %407 = arith.constant 0 : i32
        %409 = arith.extsi %407 : i32 to i64
        %408 = arith.cmpi ne, %405, %409 : i64
        cf.cond_br %408, ^bb68, ^bb69
        ^bb68:
          cf.br ^bb42
        ^bb69:
          cf.br ^bb70
        ^bb70:
        cf.br ^bb62
      ^bb66:
        %410 = arith.constant 40 : i32
        %412 = arith.extsi %410 : i32 to i64
        %411 = arith.remsi %338, %412 : i64
        %413 = arith.constant 0 : i32
        %415 = arith.extsi %413 : i32 to i64
        %414 = arith.cmpi ne, %411, %415 : i64
        cf.cond_br %414, ^bb71, ^bb62
      ^bb71:
        cf.br ^bb42
      ^bb62:
      %417 = llvm.load %272 : !llvm.ptr -> !llvm.ptr
      %418 = llvm.load %276 : !llvm.ptr -> i64
      %419 = func.call @isqrt(%338) : (i64) -> i64
      %416 = func.call @bisect_right(%417, %418, %419) : (!llvm.ptr, i64, i64) -> i64
      %420 = arith.constant 1 : i32
      %422 = arith.extsi %420 : i32 to i64
      %421 = arith.subi %416, %422 : i64
      %423 = llvm.mlir.constant(1 : i64) : i64
      %424 = llvm.alloca %423 x i64 : (i64) -> !llvm.ptr
      llvm.store %421, %424 : i64, !llvm.ptr
      %425 = llvm.load %424 : !llvm.ptr -> i64
      %426 = arith.constant 0 : i32
      %428 = arith.extsi %426 : i32 to i64
      %427 = arith.cmpi sle, %425, %428 : i64
      cf.cond_br %427, ^bb72, ^bb73
      ^bb72:
        cf.br ^bb42
      ^bb73:
        cf.br ^bb74
      ^bb74:
      %429 = arith.constant 0 : i32
      %430 = arith.extsi %429 : i32 to i64
      %431 = llvm.mlir.constant(1 : i64) : i64
      %432 = llvm.alloca %431 x i64 : (i64) -> !llvm.ptr
      llvm.store %430, %432 : i64, !llvm.ptr
      cf.br ^bb75
      ^bb75:
      %433 = llvm.load %424 : !llvm.ptr -> i64
      %434 = arith.constant 0 : i32
      %436 = arith.extsi %434 : i32 to i64
      %435 = arith.cmpi sgt, %433, %436 : i64
      cf.cond_br %435, ^bb76, ^bb77
      ^bb76:
        %438 = llvm.load %272 : !llvm.ptr -> !llvm.ptr
        %439 = llvm.load %424 : !llvm.ptr -> i64
        %440 = llvm.getelementptr %438[%439] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %437 = llvm.load %440 : !llvm.ptr -> i64
        %441 = llvm.load %424 : !llvm.ptr -> i64
        %442 = arith.constant 1 : i32
        %444 = arith.extsi %442 : i32 to i64
        %443 = arith.subi %441, %444 : i64
        llvm.store %443, %424 : i64, !llvm.ptr
        %445 = arith.divsi %338, %437 : i64
        %446 = arith.constant 10 : i32
        %448 = arith.extsi %446 : i32 to i64
        %447 = arith.muli %445, %448 : i64
        %449 = arith.constant 11 : i32
        %451 = arith.extsi %449 : i32 to i64
        %450 = arith.muli %437, %451 : i64
        %452 = arith.cmpi sgt, %447, %450 : i64
        cf.cond_br %452, ^bb78, ^bb79
        ^bb78:
          cf.br ^bb77
        ^bb79:
          cf.br ^bb80
        ^bb80:
        %453 = arith.muli %445, %437 : i64
        %454 = arith.cmpi eq, %453, %338 : i64
        cf.cond_br %454, ^bb81, ^bb82
        ^bb81:
          %455 = llvm.load %432 : !llvm.ptr -> i64
          %456 = arith.constant 1 : i32
          %458 = arith.extsi %456 : i32 to i64
          %457 = arith.addi %455, %458 : i64
          llvm.store %457, %432 : i64, !llvm.ptr
          cf.br ^bb83
        ^bb82:
          cf.br ^bb83
        ^bb83:
        cf.br ^bb75
      ^bb77:
      %459 = llvm.load %432 : !llvm.ptr -> i64
      %460 = arith.constant 2 : i32
      %462 = arith.extsi %460 : i32 to i64
      %461 = arith.cmpi slt, %459, %462 : i64
      %463 = scf.if %461 -> (i1) {
        %464 = arith.constant true
        scf.yield %464 : i1
      } else {
        %465 = llvm.load %432 : !llvm.ptr -> i64
        %466 = llvm.mlir.addressof @MAX_COMB : !llvm.ptr
        %467 = llvm.load %466 : !llvm.ptr -> i64
        %468 = arith.cmpi sgt, %465, %467 : i64
        scf.yield %468 : i1
      }
      cf.cond_br %463, ^bb84, ^bb85
      ^bb84:
        cf.br ^bb42
      ^bb85:
        cf.br ^bb86
      ^bb86:
      %470 = llvm.load %432 : !llvm.ptr -> i64
      %471 = llvm.getelementptr %226[%470] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %469 = llvm.load %471 : !llvm.ptr -> i64
      %472 = arith.constant 0 : i32
      %474 = arith.extsi %472 : i32 to i64
      %473 = arith.cmpi eq, %469, %474 : i64
      cf.cond_br %473, ^bb87, ^bb88
      ^bb87:
        %475 = llvm.load %432 : !llvm.ptr -> i64
        %476 = llvm.getelementptr %226[%475] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        llvm.store %338, %476 : i64, !llvm.ptr
        %477 = llvm.load %247 : !llvm.ptr -> i64
        %478 = arith.addi %477, %338 : i64
        llvm.store %478, %247 : i64, !llvm.ptr
        %479 = llvm.load %243 : !llvm.ptr -> i64
        %480 = arith.constant 1 : i32
        %482 = arith.extsi %480 : i32 to i64
        %481 = arith.addi %479, %482 : i64
        llvm.store %481, %243 : i64, !llvm.ptr
        cf.br ^bb89
      ^bb88:
        cf.br ^bb89
      ^bb89:
      cf.br ^bb42
    ^bb44:
    func.call @free(%226) : (!llvm.ptr) -> ()
    %485 = llvm.mlir.addressof @HEAP : !llvm.ptr
    %486 = llvm.load %485 : !llvm.ptr -> !llvm.ptr
    func.call @free(%486) : (!llvm.ptr) -> ()
    %488 = llvm.load %272 : !llvm.ptr -> !llvm.ptr
    func.call @free(%488) : (!llvm.ptr) -> ()
    func.call @free(%284) : (!llvm.ptr) -> ()
    %490 = llvm.load %247 : !llvm.ptr -> i64
    func.return %490 : i64
  }
  func.func @main() -> i32 {
    %491 = llvm.mlir.addressof @str_0 : !llvm.ptr
    %492 = func.call @solve() : () -> i64
    %493 = llvm.call @printf(%491, %492) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
    %494 = arith.constant 0 : i32
    func.return %494 : i32
  }
}