Problem 693

f(3,000,000): max g(x) for x <= 3*10^6. g(x) = max chain length over y < x of sequence a_{z+1} = a_z^2 mod z. Track active set A_z = {a^2 mod z : a in A_{z-1}} \ {0,1} until empty. f(n) via best-first branch-and-bound. Valid upper bound: for r >= x, dropping the first (r-x) terms of any chain starting at x yields a valid chain starting at r, so g(x) <= g(r) + (r - x). Hence for an interval [l, r] whose right endpoint r has known g(r): max_{l<=x<=r} g(x) <= g(r) + (r - l). Splitting at m keeps g(r) for the right child [m, r] and uses g(m) for the left child [l, m], so every bound stays valid.

Answer699161
Output699161
StatusPASS
Native helperno
Runtime730 ms
Peak memory27936 KB
Time complexityO(n^2) (estimated)
Space complexityO(n^2) (estimated)

Performance comparison

MetricOur solutionBest known
Time complexityO(n^2)?
Space complexityO(n^2)?
ApproachFlow solutionNot curated
VerdictUnknown

Flow source

# Project Euler 693
# f(3,000,000): max g(x) for x <= 3*10^6.
# g(x) = max chain length over y < x of sequence a_{z+1} = a_z^2 mod z.
# Track active set A_z = {a^2 mod z : a in A_{z-1}} \ {0,1} until empty.
#
# f(n) via best-first branch-and-bound.  Valid upper bound: for r >= x,
# dropping the first (r-x) terms of any chain starting at x yields a valid
# chain starting at r, so g(x) <= g(r) + (r - x).  Hence for an interval
# [l, r] whose right endpoint r has known g(r): max_{l<=x<=r} g(x) <=
# g(r) + (r - l).  Splitting at m keeps g(r) for the right child [m, r]
# and uses g(m) for the left child [l, m], so every bound stays valid.

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

# Compute g(x) using active set approach
function g_x(x: i64, mark_buf: ptr<i8>, active_buf: ptr<i64>) -> i64 {
    if x < 2 { return 0 }
    if x == 2 { return 1 }

    # Initial active set: union of y^2 mod x for y=2..x/2, excluding 0 and 1
    let mut n_active: i64 = 0
    let mut y: i64 = 2
    while y <= x / 2 {
        let sq: i64 = (y * y) % x
        if sq > 1 && mark_buf[sq] == 0 {
            mark_buf[sq] = 1
            active_buf[n_active] = sq
            n_active = n_active + 1
        }
        y = y + 1
    }
    # Clear marks
    for k in 0..n_active { mark_buf[active_buf[k]] = 0 }

    let mut length: i64 = 2
    let mut mod_val: i64 = x + 1

    # Reduce active set until empty or singleton
    while n_active > 1 {
        let mut next_n: i64 = 0
        for k in 0..n_active {
            let v: i64 = (active_buf[k] * active_buf[k]) % mod_val
            if v > 1 && mark_buf[v] == 0 {
                mark_buf[v] = 1
                active_buf[next_n] = v
                next_n = next_n + 1
            }
        }
        # Clear marks
        for k in 0..next_n { mark_buf[active_buf[k]] = 0 }
        n_active = next_n
        length = length + 1
        mod_val = mod_val + 1
    }

    if n_active == 0 { return length }

    # Singleton fast path
    let mut v: i64 = active_buf[0]
    while v > 1 {
        v = (v * v) % mod_val
        length = length + 1
        mod_val = mod_val + 1
    }

    return length
}

# Cached g(x)
function G(x: i64, gcache: ptr<i32>, gdone: ptr<i8>,
           mark_buf: ptr<i8>, active_buf: ptr<i64>) -> i64 {
    if gdone[x] == 1 { return gcache[x] as i64 }
    let v: i64 = g_x(x, mark_buf, active_buf)
    gcache[x] = v as i32
    gdone[x] = 1
    return v
}

function main() -> i32 {
    let N: i64 = 3000000

    let BUFSZ: i64 = N * 2
    let mark_buf: ptr<i8> = calloc(BUFSZ, 1)
    let active_buf: ptr<i64> = calloc(BUFSZ, 8)
    if mark_buf == null || active_buf == null { return 1 }

    let gcache: ptr<i32> = calloc(N + 2, 4)
    let gdone: ptr<i8> = calloc(N + 2, 1)
    if gcache == null || gdone == null { return 1 }

    let MAX_INTERVALS: i64 = 400000
    let il: ptr<i64> = calloc(MAX_INTERVALS, 8)
    let ir: ptr<i64> = calloc(MAX_INTERVALS, 8)
    let iub: ptr<i64> = calloc(MAX_INTERVALS, 8)
    let igr: ptr<i64> = calloc(MAX_INTERVALS, 8)
    if il == null || ir == null || iub == null || igr == null { return 1 }

    let grid: i64 = 200000
    let mut best: i64 = 0
    let mut n_intervals: i64 = 0

    # Coarse grid: evaluate g at 2, 2+grid, ...; intervals between consecutive
    # grid points use the right endpoint's g for the upper bound.
    let mut prev_pt: i64 = 2
    let mut gprev: i64 = G(2, gcache, gdone, mark_buf, active_buf)
    if gprev > best { best = gprev }
    let mut x: i64 = 2 + grid
    while x <= N {
        let gx: i64 = G(x, gcache, gdone, mark_buf, active_buf)
        if gx > best { best = gx }
        il[n_intervals] = prev_pt
        ir[n_intervals] = x
        iub[n_intervals] = gx + (x - prev_pt)
        igr[n_intervals] = gx
        n_intervals = n_intervals + 1
        prev_pt = x
        x = x + grid
    }
    if prev_pt < N {
        let gN: i64 = G(N, gcache, gdone, mark_buf, active_buf)
        if gN > best { best = gN }
        il[n_intervals] = prev_pt
        ir[n_intervals] = N
        iub[n_intervals] = gN + (N - prev_pt)
        igr[n_intervals] = gN
        n_intervals = n_intervals + 1
    }

    # Branch-and-bound: always pop the interval with the highest upper bound.
    while n_intervals > 0 {
        let mut max_idx: i64 = 0
        let mut max_ub: i64 = iub[0]
        for mi in 1..n_intervals {
            if iub[mi] > max_ub { max_ub = iub[mi]; max_idx = mi }
        }
        if best >= max_ub { break }

        let lo: i64 = il[max_idx]
        let hi: i64 = ir[max_idx]
        let gr: i64 = igr[max_idx]
        n_intervals = n_intervals - 1
        if max_idx < n_intervals {
            il[max_idx] = il[n_intervals]
            ir[max_idx] = ir[n_intervals]
            iub[max_idx] = iub[n_intervals]
            igr[max_idx] = igr[n_intervals]
        }

        if hi - lo > 1 {
            let mid: i64 = (lo + hi) / 2
            let gmid: i64 = G(mid, gcache, gdone, mark_buf, active_buf)
            if gmid > best { best = gmid }

            # Left child [lo, mid]: right endpoint is mid.
            if mid - lo > 1 {
                let ub_left: i64 = gmid + (mid - lo)
                if ub_left > best {
                    il[n_intervals] = lo
                    ir[n_intervals] = mid
                    iub[n_intervals] = ub_left
                    igr[n_intervals] = gmid
                    n_intervals = n_intervals + 1
                }
            }
            # Right child [mid, hi]: right endpoint stays hi, keep g(hi).
            if hi - mid > 1 {
                let ub_right: i64 = gr + (hi - mid)
                if ub_right > best {
                    il[n_intervals] = mid
                    ir[n_intervals] = hi
                    iub[n_intervals] = ub_right
                    igr[n_intervals] = gr
                    n_intervals = n_intervals + 1
                }
            }
        }
    }

    printf("%lld\n", best)

    free(igr)
    free(iub)
    free(ir)
    free(il)
    free(gdone)
    free(gcache)
    free(active_buf)
    free(mark_buf)
    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 g_x_i64_ptr_i8_ptr_i64(int64_t x, int8_t* mark_buf, int64_t* active_buf);
int64_t G_i64_ptr_i32_ptr_i8_ptr_i8_ptr_i64(int64_t x, int32_t* gcache, int8_t* gdone, int8_t* mark_buf, int64_t* active_buf);
int32_t main(void);



int64_t g_x_i64_ptr_i8_ptr_i64(int64_t x, int8_t* mark_buf, int64_t* active_buf) {
    if (x < 2) {
        return 0;
    }
    if (x == 2) {
        return 1;
    }
    int64_t n_active = 0;
    int64_t y = 2;
    while (y <= FLOW_CHECKED_DIV((x), (2))) {
        int64_t sq = FLOW_CHECKED_MOD(((y * y)), (x));
        if ((sq > 1 && mark_buf[sq] == 0)) {
            mark_buf[sq] = 1;
            active_buf[n_active] = sq;
            n_active = (n_active + 1);
        }
        y = (y + 1);
    }
    int32_t __flow_step_1 = 1;
    for (int32_t k = 0; (0 <= n_active) ? k < n_active : k > n_active; k += (0 <= n_active) ? 1 : -1) {
        mark_buf[active_buf[k]] = 0;
    }
    int64_t length = 2;
    int64_t mod_val = (x + 1);
    while (n_active > 1) {
        int64_t next_n = 0;
        int32_t __flow_step_2 = 1;
        for (int32_t k = 0; (0 <= n_active) ? k < n_active : k > n_active; k += (0 <= n_active) ? 1 : -1) {
            int64_t v = FLOW_CHECKED_MOD(((active_buf[k] * active_buf[k])), (mod_val));
            if ((v > 1 && mark_buf[v] == 0)) {
                mark_buf[v] = 1;
                active_buf[next_n] = v;
                next_n = (next_n + 1);
            }
        }
        int32_t __flow_step_3 = 1;
        for (int32_t k = 0; (0 <= next_n) ? k < next_n : k > next_n; k += (0 <= next_n) ? 1 : -1) {
            mark_buf[active_buf[k]] = 0;
        }
        n_active = next_n;
        length = (length + 1);
        mod_val = (mod_val + 1);
    }
    if (n_active == 0) {
        return length;
    }
    int64_t v = active_buf[0];
    while (v > 1) {
        v = FLOW_CHECKED_MOD(((v * v)), (mod_val));
        length = (length + 1);
        mod_val = (mod_val + 1);
    }
    return length;
}

int64_t G_i64_ptr_i32_ptr_i8_ptr_i8_ptr_i64(int64_t x, int32_t* gcache, int8_t* gdone, int8_t* mark_buf, int64_t* active_buf) {
    if (gdone[x] == 1) {
        return ((int64_t)(gcache[x]));
    }
    int64_t v = g_x_i64_ptr_i8_ptr_i64(x, mark_buf, active_buf);
    gcache[x] = ((int32_t)(v));
    gdone[x] = 1;
    return v;
}

int32_t main(void) {
    int64_t N = 3000000;
    int64_t BUFSZ = (N * 2);
    int8_t* mark_buf = (int8_t*)(calloc(BUFSZ, 1));
    int64_t* active_buf = (int64_t*)(calloc(BUFSZ, 8));
    if ((mark_buf == NULL || active_buf == NULL)) {
        return 1;
    }
    int32_t* gcache = (int32_t*)(calloc((N + 2), 4));
    int8_t* gdone = (int8_t*)(calloc((N + 2), 1));
    if ((gcache == NULL || gdone == NULL)) {
        return 1;
    }
    int64_t MAX_INTERVALS = 400000;
    int64_t* il = (int64_t*)(calloc(MAX_INTERVALS, 8));
    int64_t* ir = (int64_t*)(calloc(MAX_INTERVALS, 8));
    int64_t* iub = (int64_t*)(calloc(MAX_INTERVALS, 8));
    int64_t* igr = (int64_t*)(calloc(MAX_INTERVALS, 8));
    if ((((il == NULL || ir == NULL) || iub == NULL) || igr == NULL)) {
        return 1;
    }
    int64_t grid = 200000;
    int64_t best = 0;
    int64_t n_intervals = 0;
    int64_t prev_pt = 2;
    int64_t gprev = G_i64_ptr_i32_ptr_i8_ptr_i8_ptr_i64(2, gcache, gdone, mark_buf, active_buf);
    if (gprev > best) {
        best = gprev;
    }
    int64_t x = (2 + grid);
    while (x <= N) {
        int64_t gx = G_i64_ptr_i32_ptr_i8_ptr_i8_ptr_i64(x, gcache, gdone, mark_buf, active_buf);
        if (gx > best) {
            best = gx;
        }
        il[n_intervals] = prev_pt;
        ir[n_intervals] = x;
        iub[n_intervals] = (gx + (x - prev_pt));
        igr[n_intervals] = gx;
        n_intervals = (n_intervals + 1);
        prev_pt = x;
        x = (x + grid);
    }
    if (prev_pt < N) {
        int64_t gN = G_i64_ptr_i32_ptr_i8_ptr_i8_ptr_i64(N, gcache, gdone, mark_buf, active_buf);
        if (gN > best) {
            best = gN;
        }
        il[n_intervals] = prev_pt;
        ir[n_intervals] = N;
        iub[n_intervals] = (gN + (N - prev_pt));
        igr[n_intervals] = gN;
        n_intervals = (n_intervals + 1);
    }
    while (n_intervals > 0) {
        int64_t max_idx = 0;
        int64_t max_ub = iub[0];
        int32_t __flow_step_4 = 1;
        for (int32_t mi = 1; (1 <= n_intervals) ? mi < n_intervals : mi > n_intervals; mi += (1 <= n_intervals) ? 1 : -1) {
            if (iub[mi] > max_ub) {
                max_ub = iub[mi];
                max_idx = mi;
            }
        }
        if (best >= max_ub) {
            break;
        }
        int64_t lo = il[max_idx];
        int64_t hi = ir[max_idx];
        int64_t gr = igr[max_idx];
        n_intervals = (n_intervals - 1);
        if (max_idx < n_intervals) {
            il[max_idx] = il[n_intervals];
            ir[max_idx] = ir[n_intervals];
            iub[max_idx] = iub[n_intervals];
            igr[max_idx] = igr[n_intervals];
        }
        if ((hi - lo) > 1) {
            int64_t mid = FLOW_CHECKED_DIV(((lo + hi)), (2));
            int64_t gmid = G_i64_ptr_i32_ptr_i8_ptr_i8_ptr_i64(mid, gcache, gdone, mark_buf, active_buf);
            if (gmid > best) {
                best = gmid;
            }
            if ((mid - lo) > 1) {
                int64_t ub_left = (gmid + (mid - lo));
                if (ub_left > best) {
                    il[n_intervals] = lo;
                    ir[n_intervals] = mid;
                    iub[n_intervals] = ub_left;
                    igr[n_intervals] = gmid;
                    n_intervals = (n_intervals + 1);
                }
            }
            if ((hi - mid) > 1) {
                int64_t ub_right = (gr + (hi - mid));
                if (ub_right > best) {
                    il[n_intervals] = mid;
                    ir[n_intervals] = hi;
                    iub[n_intervals] = ub_right;
                    igr[n_intervals] = gr;
                    n_intervals = (n_intervals + 1);
                }
            }
        }
    }
    printf("%lld\n", best);
    free(igr);
    free(iub);
    free(ir);
    free(il);
    free(gdone);
    free(gcache);
    free(active_buf);
    free(mark_buf);
    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 @g_x(%arg0: i64, %arg1: !llvm.ptr, %arg2: !llvm.ptr) -> i64 {
    %0 = arith.constant 2 : i32
    %2 = arith.extsi %0 : i32 to i64
    %1 = arith.cmpi slt, %arg0, %2 : i64
    cf.cond_br %1, ^bb0, ^bb1
    ^bb0:
      %3 = arith.constant 0 : i32
      %4 = arith.extsi %3 : i32 to i64
      func.return %4 : i64
    ^bb1:
      cf.br ^bb2
    ^bb2:
    %5 = arith.constant 2 : i32
    %7 = arith.extsi %5 : i32 to i64
    %6 = arith.cmpi eq, %arg0, %7 : i64
    cf.cond_br %6, ^bb3, ^bb4
    ^bb3:
      %8 = arith.constant 1 : i32
      %9 = arith.extsi %8 : i32 to i64
      func.return %9 : i64
    ^bb4:
      cf.br ^bb5
    ^bb5:
    %10 = arith.constant 0 : i32
    %11 = arith.extsi %10 : i32 to i64
    %12 = llvm.mlir.constant(1 : i64) : i64
    %13 = llvm.alloca %12 x i64 : (i64) -> !llvm.ptr
    llvm.store %11, %13 : i64, !llvm.ptr
    %14 = arith.constant 2 : i32
    %15 = arith.extsi %14 : i32 to i64
    %16 = llvm.mlir.constant(1 : i64) : i64
    %17 = llvm.alloca %16 x i64 : (i64) -> !llvm.ptr
    llvm.store %15, %17 : i64, !llvm.ptr
    cf.br ^bb6
    ^bb6:
    %18 = llvm.load %17 : !llvm.ptr -> i64
    %19 = arith.constant 2 : i32
    %21 = arith.extsi %19 : i32 to i64
    %20 = arith.divsi %arg0, %21 : i64
    %22 = arith.cmpi sle, %18, %20 : i64
    cf.cond_br %22, ^bb7, ^bb8
    ^bb7:
      %23 = llvm.load %17 : !llvm.ptr -> i64
      %24 = llvm.load %17 : !llvm.ptr -> i64
      %25 = arith.muli %23, %24 : i64
      %26 = arith.remsi %25, %arg0 : i64
      %27 = arith.constant 1 : i32
      %29 = arith.extsi %27 : i32 to i64
      %28 = arith.cmpi sgt, %26, %29 : i64
      %30 = scf.if %28 -> (i1) {
        %32 = llvm.getelementptr %arg1[%26] : (!llvm.ptr, i64) -> !llvm.ptr, i8
        %31 = llvm.load %32 : !llvm.ptr -> i8
        %33 = arith.constant 0 : i32
        %35 = arith.extsi %31 : i8 to i32
        %34 = arith.cmpi eq, %35, %33 : i32
        scf.yield %34 : i1
      } else {
        %36 = arith.constant false
        scf.yield %36 : i1
      }
      cf.cond_br %30, ^bb9, ^bb10
      ^bb9:
        %37 = arith.constant 1 : i32
        %38 = arith.trunci %37 : i32 to i8
        %39 = llvm.getelementptr %arg1[%26] : (!llvm.ptr, i64) -> !llvm.ptr, i8
        llvm.store %38, %39 : i8, !llvm.ptr
        %40 = llvm.load %13 : !llvm.ptr -> i64
        %41 = llvm.getelementptr %arg2[%40] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        llvm.store %26, %41 : i64, !llvm.ptr
        %42 = llvm.load %13 : !llvm.ptr -> i64
        %43 = arith.constant 1 : i32
        %45 = arith.extsi %43 : i32 to i64
        %44 = arith.addi %42, %45 : i64
        llvm.store %44, %13 : i64, !llvm.ptr
        cf.br ^bb11
      ^bb10:
        cf.br ^bb11
      ^bb11:
      %46 = llvm.load %17 : !llvm.ptr -> i64
      %47 = arith.constant 1 : i32
      %49 = arith.extsi %47 : i32 to i64
      %48 = arith.addi %46, %49 : i64
      llvm.store %48, %17 : i64, !llvm.ptr
      cf.br ^bb6
    ^bb8:
    %50 = arith.constant 0 : i32
    %51 = llvm.load %13 : !llvm.ptr -> i64
    %52 = arith.index_cast %50 : i32 to index
    %53 = arith.index_cast %51 : i32 to index
    %55 = arith.constant 1 : index
    %56 = arith.constant -1 : index
    %57 = arith.cmpi sle, %52, %53 : index
    %54 = arith.select %57, %55, %56 : index
    cf.br ^bb12(%52 : index)
    ^bb12(%58: index):
    %59 = arith.cmpi slt, %58, %53 : index
    %60 = arith.cmpi sgt, %58, %53 : index
    %61 = arith.select %57, %59, %60 : i1
    cf.cond_br %61, ^bb13(%58 : index), ^bb14(%58 : index)
    ^bb13(%62: index):
      %63 = arith.constant 0 : i32
      %65 = arith.index_cast %62 : index to i64
      %66 = llvm.getelementptr %arg2[%65] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %64 = llvm.load %66 : !llvm.ptr -> i64
      %67 = arith.trunci %63 : i32 to i8
      %68 = llvm.getelementptr %arg1[%64] : (!llvm.ptr, i64) -> !llvm.ptr, i8
      llvm.store %67, %68 : i8, !llvm.ptr
      %69 = arith.addi %62, %54 : index
      cf.br ^bb12(%69 : index)
    ^bb14(%70: index):
    %71 = arith.constant 2 : i32
    %72 = arith.extsi %71 : i32 to i64
    %73 = llvm.mlir.constant(1 : i64) : i64
    %74 = llvm.alloca %73 x i64 : (i64) -> !llvm.ptr
    llvm.store %72, %74 : i64, !llvm.ptr
    %75 = arith.constant 1 : i32
    %77 = arith.extsi %75 : i32 to i64
    %76 = arith.addi %arg0, %77 : i64
    %78 = llvm.mlir.constant(1 : i64) : i64
    %79 = llvm.alloca %78 x i64 : (i64) -> !llvm.ptr
    llvm.store %76, %79 : i64, !llvm.ptr
    cf.br ^bb15
    ^bb15:
    %80 = llvm.load %13 : !llvm.ptr -> i64
    %81 = arith.constant 1 : i32
    %83 = arith.extsi %81 : i32 to i64
    %82 = arith.cmpi sgt, %80, %83 : i64
    cf.cond_br %82, ^bb16, ^bb17
    ^bb16:
      %84 = arith.constant 0 : i32
      %85 = arith.extsi %84 : i32 to i64
      %86 = llvm.mlir.constant(1 : i64) : i64
      %87 = llvm.alloca %86 x i64 : (i64) -> !llvm.ptr
      llvm.store %85, %87 : i64, !llvm.ptr
      %88 = arith.constant 0 : i32
      %89 = llvm.load %13 : !llvm.ptr -> i64
      %90 = arith.index_cast %88 : i32 to index
      %91 = arith.index_cast %89 : i32 to index
      %93 = arith.constant 1 : index
      %94 = arith.constant -1 : index
      %95 = arith.cmpi sle, %90, %91 : index
      %92 = arith.select %95, %93, %94 : index
      cf.br ^bb18(%90 : index)
      ^bb18(%96: index):
      %97 = arith.cmpi slt, %96, %91 : index
      %98 = arith.cmpi sgt, %96, %91 : index
      %99 = arith.select %95, %97, %98 : i1
      cf.cond_br %99, ^bb19(%96 : index), ^bb20(%96 : index)
      ^bb19(%100: index):
        %102 = arith.index_cast %100 : index to i64
        %103 = llvm.getelementptr %arg2[%102] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %101 = llvm.load %103 : !llvm.ptr -> i64
        %105 = arith.index_cast %100 : index to i64
        %106 = llvm.getelementptr %arg2[%105] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %104 = llvm.load %106 : !llvm.ptr -> i64
        %107 = arith.muli %101, %104 : i64
        %108 = llvm.load %79 : !llvm.ptr -> i64
        %109 = arith.remsi %107, %108 : i64
        %110 = arith.constant 1 : i32
        %112 = arith.extsi %110 : i32 to i64
        %111 = arith.cmpi sgt, %109, %112 : i64
        %113 = scf.if %111 -> (i1) {
          %115 = llvm.getelementptr %arg1[%109] : (!llvm.ptr, i64) -> !llvm.ptr, i8
          %114 = llvm.load %115 : !llvm.ptr -> i8
          %116 = arith.constant 0 : i32
          %118 = arith.extsi %114 : i8 to i32
          %117 = arith.cmpi eq, %118, %116 : i32
          scf.yield %117 : i1
        } else {
          %119 = arith.constant false
          scf.yield %119 : i1
        }
        cf.cond_br %113, ^bb21, ^bb22
        ^bb21:
          %120 = arith.constant 1 : i32
          %121 = arith.trunci %120 : i32 to i8
          %122 = llvm.getelementptr %arg1[%109] : (!llvm.ptr, i64) -> !llvm.ptr, i8
          llvm.store %121, %122 : i8, !llvm.ptr
          %123 = llvm.load %87 : !llvm.ptr -> i64
          %124 = llvm.getelementptr %arg2[%123] : (!llvm.ptr, i64) -> !llvm.ptr, i64
          llvm.store %109, %124 : i64, !llvm.ptr
          %125 = llvm.load %87 : !llvm.ptr -> i64
          %126 = arith.constant 1 : i32
          %128 = arith.extsi %126 : i32 to i64
          %127 = arith.addi %125, %128 : i64
          llvm.store %127, %87 : i64, !llvm.ptr
          cf.br ^bb23
        ^bb22:
          cf.br ^bb23
        ^bb23:
        %129 = arith.addi %100, %92 : index
        cf.br ^bb18(%129 : index)
      ^bb20(%130: index):
      %131 = arith.constant 0 : i32
      %132 = llvm.load %87 : !llvm.ptr -> i64
      %133 = arith.index_cast %131 : i32 to index
      %134 = arith.index_cast %132 : i32 to index
      %136 = arith.constant 1 : index
      %137 = arith.constant -1 : index
      %138 = arith.cmpi sle, %133, %134 : index
      %135 = arith.select %138, %136, %137 : index
      cf.br ^bb24(%133 : index)
      ^bb24(%139: index):
      %140 = arith.cmpi slt, %139, %134 : index
      %141 = arith.cmpi sgt, %139, %134 : index
      %142 = arith.select %138, %140, %141 : i1
      cf.cond_br %142, ^bb25(%139 : index), ^bb26(%139 : index)
      ^bb25(%143: index):
        %144 = arith.constant 0 : i32
        %146 = arith.index_cast %143 : index to i64
        %147 = llvm.getelementptr %arg2[%146] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %145 = llvm.load %147 : !llvm.ptr -> i64
        %148 = arith.trunci %144 : i32 to i8
        %149 = llvm.getelementptr %arg1[%145] : (!llvm.ptr, i64) -> !llvm.ptr, i8
        llvm.store %148, %149 : i8, !llvm.ptr
        %150 = arith.addi %143, %135 : index
        cf.br ^bb24(%150 : index)
      ^bb26(%151: index):
      %152 = llvm.load %87 : !llvm.ptr -> i64
      llvm.store %152, %13 : i64, !llvm.ptr
      %153 = llvm.load %74 : !llvm.ptr -> i64
      %154 = arith.constant 1 : i32
      %156 = arith.extsi %154 : i32 to i64
      %155 = arith.addi %153, %156 : i64
      llvm.store %155, %74 : i64, !llvm.ptr
      %157 = llvm.load %79 : !llvm.ptr -> i64
      %158 = arith.constant 1 : i32
      %160 = arith.extsi %158 : i32 to i64
      %159 = arith.addi %157, %160 : i64
      llvm.store %159, %79 : i64, !llvm.ptr
      cf.br ^bb15
    ^bb17:
    %161 = llvm.load %13 : !llvm.ptr -> i64
    %162 = arith.constant 0 : i32
    %164 = arith.extsi %162 : i32 to i64
    %163 = arith.cmpi eq, %161, %164 : i64
    cf.cond_br %163, ^bb27, ^bb28
    ^bb27:
      %165 = llvm.load %74 : !llvm.ptr -> i64
      func.return %165 : i64
    ^bb28:
      cf.br ^bb29
    ^bb29:
    %167 = arith.constant 0 : i32
    %168 = arith.extsi %167 : i32 to i64
    %169 = llvm.getelementptr %arg2[%168] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    %166 = llvm.load %169 : !llvm.ptr -> i64
    %170 = llvm.mlir.constant(1 : i64) : i64
    %171 = llvm.alloca %170 x i64 : (i64) -> !llvm.ptr
    llvm.store %166, %171 : i64, !llvm.ptr
    cf.br ^bb30
    ^bb30:
    %172 = llvm.load %171 : !llvm.ptr -> i64
    %173 = arith.constant 1 : i32
    %175 = arith.extsi %173 : i32 to i64
    %174 = arith.cmpi sgt, %172, %175 : i64
    cf.cond_br %174, ^bb31, ^bb32
    ^bb31:
      %176 = llvm.load %171 : !llvm.ptr -> i64
      %177 = llvm.load %171 : !llvm.ptr -> i64
      %178 = arith.muli %176, %177 : i64
      %179 = llvm.load %79 : !llvm.ptr -> i64
      %180 = arith.remsi %178, %179 : i64
      llvm.store %180, %171 : i64, !llvm.ptr
      %181 = llvm.load %74 : !llvm.ptr -> i64
      %182 = arith.constant 1 : i32
      %184 = arith.extsi %182 : i32 to i64
      %183 = arith.addi %181, %184 : i64
      llvm.store %183, %74 : i64, !llvm.ptr
      %185 = llvm.load %79 : !llvm.ptr -> i64
      %186 = arith.constant 1 : i32
      %188 = arith.extsi %186 : i32 to i64
      %187 = arith.addi %185, %188 : i64
      llvm.store %187, %79 : i64, !llvm.ptr
      cf.br ^bb30
    ^bb32:
    %189 = llvm.load %74 : !llvm.ptr -> i64
    func.return %189 : i64
  }
  func.func @G(%arg0: i64, %arg1: !llvm.ptr, %arg2: !llvm.ptr, %arg3: !llvm.ptr, %arg4: !llvm.ptr) -> i64 {
    %191 = llvm.getelementptr %arg2[%arg0] : (!llvm.ptr, i64) -> !llvm.ptr, i8
    %190 = llvm.load %191 : !llvm.ptr -> i8
    %192 = arith.constant 1 : i32
    %194 = arith.extsi %190 : i8 to i32
    %193 = arith.cmpi eq, %194, %192 : i32
    cf.cond_br %193, ^bb33, ^bb34
    ^bb33:
      %196 = llvm.getelementptr %arg1[%arg0] : (!llvm.ptr, i64) -> !llvm.ptr, i32
      %195 = llvm.load %196 : !llvm.ptr -> i32
      %197 = arith.extsi %195 : i32 to i64
      func.return %197 : i64
    ^bb34:
      cf.br ^bb35
    ^bb35:
    %198 = func.call @g_x(%arg0, %arg3, %arg4) : (i64, !llvm.ptr, !llvm.ptr) -> i64
    %199 = arith.trunci %198 : i64 to i32
    %200 = llvm.getelementptr %arg1[%arg0] : (!llvm.ptr, i64) -> !llvm.ptr, i32
    llvm.store %199, %200 : i32, !llvm.ptr
    %201 = arith.constant 1 : i32
    %202 = arith.trunci %201 : i32 to i8
    %203 = llvm.getelementptr %arg2[%arg0] : (!llvm.ptr, i64) -> !llvm.ptr, i8
    llvm.store %202, %203 : i8, !llvm.ptr
    func.return %198 : i64
  }
  func.func @main() -> i32 {
    %204 = arith.constant 3000000 : i32
    %205 = arith.extsi %204 : i32 to i64
    %206 = arith.constant 2 : i32
    %208 = arith.extsi %206 : i32 to i64
    %207 = arith.muli %205, %208 : i64
    %210 = arith.constant 1 : i32
    %211 = arith.extsi %210 : i32 to i64
    %209 = func.call @calloc(%207, %211) : (i64, i64) -> !llvm.ptr
    %213 = arith.constant 8 : i32
    %214 = arith.extsi %213 : i32 to i64
    %212 = func.call @calloc(%207, %214) : (i64, i64) -> !llvm.ptr
    %215 = llvm.mlir.zero : !llvm.ptr
    %216 = llvm.icmp "eq" %209, %215 : !llvm.ptr
    %217 = scf.if %216 -> (i1) {
      %218 = arith.constant true
      scf.yield %218 : i1
    } else {
      %219 = llvm.mlir.zero : !llvm.ptr
      %220 = llvm.icmp "eq" %212, %219 : !llvm.ptr
      scf.yield %220 : i1
    }
    cf.cond_br %217, ^bb36, ^bb37
    ^bb36:
      %221 = arith.constant 1 : i32
      func.return %221 : i32
    ^bb37:
      cf.br ^bb38
    ^bb38:
    %223 = arith.constant 2 : i32
    %225 = arith.extsi %223 : i32 to i64
    %224 = arith.addi %205, %225 : i64
    %226 = arith.constant 4 : i32
    %227 = arith.extsi %226 : i32 to i64
    %222 = func.call @calloc(%224, %227) : (i64, i64) -> !llvm.ptr
    %229 = arith.constant 2 : i32
    %231 = arith.extsi %229 : i32 to i64
    %230 = arith.addi %205, %231 : i64
    %232 = arith.constant 1 : i32
    %233 = arith.extsi %232 : i32 to i64
    %228 = func.call @calloc(%230, %233) : (i64, i64) -> !llvm.ptr
    %234 = llvm.mlir.zero : !llvm.ptr
    %235 = llvm.icmp "eq" %222, %234 : !llvm.ptr
    %236 = scf.if %235 -> (i1) {
      %237 = arith.constant true
      scf.yield %237 : i1
    } else {
      %238 = llvm.mlir.zero : !llvm.ptr
      %239 = llvm.icmp "eq" %228, %238 : !llvm.ptr
      scf.yield %239 : i1
    }
    cf.cond_br %236, ^bb39, ^bb40
    ^bb39:
      %240 = arith.constant 1 : i32
      func.return %240 : i32
    ^bb40:
      cf.br ^bb41
    ^bb41:
    %241 = arith.constant 400000 : i32
    %242 = arith.extsi %241 : i32 to i64
    %244 = arith.constant 8 : i32
    %245 = arith.extsi %244 : i32 to i64
    %243 = func.call @calloc(%242, %245) : (i64, i64) -> !llvm.ptr
    %247 = arith.constant 8 : i32
    %248 = arith.extsi %247 : i32 to i64
    %246 = func.call @calloc(%242, %248) : (i64, i64) -> !llvm.ptr
    %250 = arith.constant 8 : i32
    %251 = arith.extsi %250 : i32 to i64
    %249 = func.call @calloc(%242, %251) : (i64, i64) -> !llvm.ptr
    %253 = arith.constant 8 : i32
    %254 = arith.extsi %253 : i32 to i64
    %252 = func.call @calloc(%242, %254) : (i64, i64) -> !llvm.ptr
    %255 = llvm.mlir.zero : !llvm.ptr
    %256 = llvm.icmp "eq" %243, %255 : !llvm.ptr
    %257 = scf.if %256 -> (i1) {
      %258 = arith.constant true
      scf.yield %258 : i1
    } else {
      %259 = llvm.mlir.zero : !llvm.ptr
      %260 = llvm.icmp "eq" %246, %259 : !llvm.ptr
      scf.yield %260 : i1
    }
    %261 = scf.if %257 -> (i1) {
      %262 = arith.constant true
      scf.yield %262 : i1
    } else {
      %263 = llvm.mlir.zero : !llvm.ptr
      %264 = llvm.icmp "eq" %249, %263 : !llvm.ptr
      scf.yield %264 : i1
    }
    %265 = scf.if %261 -> (i1) {
      %266 = arith.constant true
      scf.yield %266 : i1
    } else {
      %267 = llvm.mlir.zero : !llvm.ptr
      %268 = llvm.icmp "eq" %252, %267 : !llvm.ptr
      scf.yield %268 : i1
    }
    cf.cond_br %265, ^bb42, ^bb43
    ^bb42:
      %269 = arith.constant 1 : i32
      func.return %269 : i32
    ^bb43:
      cf.br ^bb44
    ^bb44:
    %270 = arith.constant 200000 : i32
    %271 = arith.extsi %270 : i32 to i64
    %272 = arith.constant 0 : i32
    %273 = arith.extsi %272 : i32 to i64
    %274 = llvm.mlir.constant(1 : i64) : i64
    %275 = llvm.alloca %274 x i64 : (i64) -> !llvm.ptr
    llvm.store %273, %275 : i64, !llvm.ptr
    %276 = arith.constant 0 : i32
    %277 = arith.extsi %276 : i32 to i64
    %278 = llvm.mlir.constant(1 : i64) : i64
    %279 = llvm.alloca %278 x i64 : (i64) -> !llvm.ptr
    llvm.store %277, %279 : i64, !llvm.ptr
    %280 = arith.constant 2 : i32
    %281 = arith.extsi %280 : i32 to i64
    %282 = llvm.mlir.constant(1 : i64) : i64
    %283 = llvm.alloca %282 x i64 : (i64) -> !llvm.ptr
    llvm.store %281, %283 : i64, !llvm.ptr
    %285 = arith.constant 2 : i32
    %286 = arith.extsi %285 : i32 to i64
    %284 = func.call @G(%286, %222, %228, %209, %212) : (i64, !llvm.ptr, !llvm.ptr, !llvm.ptr, !llvm.ptr) -> i64
    %287 = llvm.mlir.constant(1 : i64) : i64
    %288 = llvm.alloca %287 x i64 : (i64) -> !llvm.ptr
    llvm.store %284, %288 : i64, !llvm.ptr
    %289 = llvm.load %288 : !llvm.ptr -> i64
    %290 = llvm.load %275 : !llvm.ptr -> i64
    %291 = arith.cmpi sgt, %289, %290 : i64
    cf.cond_br %291, ^bb45, ^bb46
    ^bb45:
      %292 = llvm.load %288 : !llvm.ptr -> i64
      llvm.store %292, %275 : i64, !llvm.ptr
      cf.br ^bb47
    ^bb46:
      cf.br ^bb47
    ^bb47:
    %293 = arith.constant 2 : i32
    %295 = arith.extsi %293 : i32 to i64
    %294 = arith.addi %295, %271 : i64
    %296 = llvm.mlir.constant(1 : i64) : i64
    %297 = llvm.alloca %296 x i64 : (i64) -> !llvm.ptr
    llvm.store %294, %297 : i64, !llvm.ptr
    cf.br ^bb48
    ^bb48:
    %298 = llvm.load %297 : !llvm.ptr -> i64
    %299 = arith.cmpi sle, %298, %205 : i64
    cf.cond_br %299, ^bb49, ^bb50
    ^bb49:
      %301 = llvm.load %297 : !llvm.ptr -> i64
      %300 = func.call @G(%301, %222, %228, %209, %212) : (i64, !llvm.ptr, !llvm.ptr, !llvm.ptr, !llvm.ptr) -> i64
      %302 = llvm.load %275 : !llvm.ptr -> i64
      %303 = arith.cmpi sgt, %300, %302 : i64
      cf.cond_br %303, ^bb51, ^bb52
      ^bb51:
        llvm.store %300, %275 : i64, !llvm.ptr
        cf.br ^bb53
      ^bb52:
        cf.br ^bb53
      ^bb53:
      %304 = llvm.load %283 : !llvm.ptr -> i64
      %305 = llvm.load %279 : !llvm.ptr -> i64
      %306 = llvm.getelementptr %243[%305] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %304, %306 : i64, !llvm.ptr
      %307 = llvm.load %297 : !llvm.ptr -> i64
      %308 = llvm.load %279 : !llvm.ptr -> i64
      %309 = llvm.getelementptr %246[%308] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %307, %309 : i64, !llvm.ptr
      %310 = llvm.load %297 : !llvm.ptr -> i64
      %311 = llvm.load %283 : !llvm.ptr -> i64
      %312 = arith.subi %310, %311 : i64
      %313 = arith.addi %300, %312 : i64
      %314 = llvm.load %279 : !llvm.ptr -> i64
      %315 = llvm.getelementptr %249[%314] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %313, %315 : i64, !llvm.ptr
      %316 = llvm.load %279 : !llvm.ptr -> i64
      %317 = llvm.getelementptr %252[%316] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %300, %317 : i64, !llvm.ptr
      %318 = llvm.load %279 : !llvm.ptr -> i64
      %319 = arith.constant 1 : i32
      %321 = arith.extsi %319 : i32 to i64
      %320 = arith.addi %318, %321 : i64
      llvm.store %320, %279 : i64, !llvm.ptr
      %322 = llvm.load %297 : !llvm.ptr -> i64
      llvm.store %322, %283 : i64, !llvm.ptr
      %323 = llvm.load %297 : !llvm.ptr -> i64
      %324 = arith.addi %323, %271 : i64
      llvm.store %324, %297 : i64, !llvm.ptr
      cf.br ^bb48
    ^bb50:
    %325 = llvm.load %283 : !llvm.ptr -> i64
    %326 = arith.cmpi slt, %325, %205 : i64
    cf.cond_br %326, ^bb54, ^bb55
    ^bb54:
      %327 = func.call @G(%205, %222, %228, %209, %212) : (i64, !llvm.ptr, !llvm.ptr, !llvm.ptr, !llvm.ptr) -> i64
      %328 = llvm.load %275 : !llvm.ptr -> i64
      %329 = arith.cmpi sgt, %327, %328 : i64
      cf.cond_br %329, ^bb57, ^bb58
      ^bb57:
        llvm.store %327, %275 : i64, !llvm.ptr
        cf.br ^bb59
      ^bb58:
        cf.br ^bb59
      ^bb59:
      %330 = llvm.load %283 : !llvm.ptr -> i64
      %331 = llvm.load %279 : !llvm.ptr -> i64
      %332 = llvm.getelementptr %243[%331] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %330, %332 : i64, !llvm.ptr
      %333 = llvm.load %279 : !llvm.ptr -> i64
      %334 = llvm.getelementptr %246[%333] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %205, %334 : i64, !llvm.ptr
      %335 = llvm.load %283 : !llvm.ptr -> i64
      %336 = arith.subi %205, %335 : i64
      %337 = arith.addi %327, %336 : i64
      %338 = llvm.load %279 : !llvm.ptr -> i64
      %339 = llvm.getelementptr %249[%338] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %337, %339 : i64, !llvm.ptr
      %340 = llvm.load %279 : !llvm.ptr -> i64
      %341 = llvm.getelementptr %252[%340] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %327, %341 : i64, !llvm.ptr
      %342 = llvm.load %279 : !llvm.ptr -> i64
      %343 = arith.constant 1 : i32
      %345 = arith.extsi %343 : i32 to i64
      %344 = arith.addi %342, %345 : i64
      llvm.store %344, %279 : i64, !llvm.ptr
      cf.br ^bb56
    ^bb55:
      cf.br ^bb56
    ^bb56:
    cf.br ^bb60
    ^bb60:
    %346 = llvm.load %279 : !llvm.ptr -> i64
    %347 = arith.constant 0 : i32
    %349 = arith.extsi %347 : i32 to i64
    %348 = arith.cmpi sgt, %346, %349 : i64
    cf.cond_br %348, ^bb61, ^bb62
    ^bb61:
      %350 = arith.constant 0 : i32
      %351 = arith.extsi %350 : i32 to i64
      %352 = llvm.mlir.constant(1 : i64) : i64
      %353 = llvm.alloca %352 x i64 : (i64) -> !llvm.ptr
      llvm.store %351, %353 : i64, !llvm.ptr
      %355 = arith.constant 0 : i32
      %356 = arith.extsi %355 : i32 to i64
      %357 = llvm.getelementptr %249[%356] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %354 = llvm.load %357 : !llvm.ptr -> i64
      %358 = llvm.mlir.constant(1 : i64) : i64
      %359 = llvm.alloca %358 x i64 : (i64) -> !llvm.ptr
      llvm.store %354, %359 : i64, !llvm.ptr
      %360 = arith.constant 1 : i32
      %361 = llvm.load %279 : !llvm.ptr -> i64
      %362 = arith.index_cast %360 : i32 to index
      %363 = arith.index_cast %361 : i32 to index
      %365 = arith.constant 1 : index
      %366 = arith.constant -1 : index
      %367 = arith.cmpi sle, %362, %363 : index
      %364 = arith.select %367, %365, %366 : index
      cf.br ^bb63(%362 : index)
      ^bb63(%368: index):
      %369 = arith.cmpi slt, %368, %363 : index
      %370 = arith.cmpi sgt, %368, %363 : index
      %371 = arith.select %367, %369, %370 : i1
      cf.cond_br %371, ^bb64(%368 : index), ^bb65(%368 : index)
      ^bb64(%372: index):
        %374 = arith.index_cast %372 : index to i64
        %375 = llvm.getelementptr %249[%374] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %373 = llvm.load %375 : !llvm.ptr -> i64
        %376 = llvm.load %359 : !llvm.ptr -> i64
        %377 = arith.cmpi sgt, %373, %376 : i64
        cf.cond_br %377, ^bb66, ^bb67
        ^bb66:
          %379 = arith.index_cast %372 : index to i64
          %380 = llvm.getelementptr %249[%379] : (!llvm.ptr, i64) -> !llvm.ptr, i64
          %378 = llvm.load %380 : !llvm.ptr -> i64
          llvm.store %378, %359 : i64, !llvm.ptr
          %381 = arith.index_cast %372 : index to i64
          llvm.store %381, %353 : i64, !llvm.ptr
          cf.br ^bb68
        ^bb67:
          cf.br ^bb68
        ^bb68:
        %382 = arith.addi %372, %364 : index
        cf.br ^bb63(%382 : index)
      ^bb65(%383: index):
      %384 = llvm.load %275 : !llvm.ptr -> i64
      %385 = llvm.load %359 : !llvm.ptr -> i64
      %386 = arith.cmpi sge, %384, %385 : i64
      cf.cond_br %386, ^bb69, ^bb70
      ^bb69:
        cf.br ^bb62
      ^bb70:
        cf.br ^bb71
      ^bb71:
      %388 = llvm.load %353 : !llvm.ptr -> i64
      %389 = llvm.getelementptr %243[%388] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %387 = llvm.load %389 : !llvm.ptr -> i64
      %391 = llvm.load %353 : !llvm.ptr -> i64
      %392 = llvm.getelementptr %246[%391] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %390 = llvm.load %392 : !llvm.ptr -> i64
      %394 = llvm.load %353 : !llvm.ptr -> i64
      %395 = llvm.getelementptr %252[%394] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %393 = llvm.load %395 : !llvm.ptr -> i64
      %396 = llvm.load %279 : !llvm.ptr -> i64
      %397 = arith.constant 1 : i32
      %399 = arith.extsi %397 : i32 to i64
      %398 = arith.subi %396, %399 : i64
      llvm.store %398, %279 : i64, !llvm.ptr
      %400 = llvm.load %353 : !llvm.ptr -> i64
      %401 = llvm.load %279 : !llvm.ptr -> i64
      %402 = arith.cmpi slt, %400, %401 : i64
      cf.cond_br %402, ^bb72, ^bb73
      ^bb72:
        %404 = llvm.load %279 : !llvm.ptr -> i64
        %405 = llvm.getelementptr %243[%404] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %403 = llvm.load %405 : !llvm.ptr -> i64
        %406 = llvm.load %353 : !llvm.ptr -> i64
        %407 = llvm.getelementptr %243[%406] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        llvm.store %403, %407 : i64, !llvm.ptr
        %409 = llvm.load %279 : !llvm.ptr -> i64
        %410 = llvm.getelementptr %246[%409] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %408 = llvm.load %410 : !llvm.ptr -> i64
        %411 = llvm.load %353 : !llvm.ptr -> i64
        %412 = llvm.getelementptr %246[%411] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        llvm.store %408, %412 : i64, !llvm.ptr
        %414 = llvm.load %279 : !llvm.ptr -> i64
        %415 = llvm.getelementptr %249[%414] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %413 = llvm.load %415 : !llvm.ptr -> i64
        %416 = llvm.load %353 : !llvm.ptr -> i64
        %417 = llvm.getelementptr %249[%416] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        llvm.store %413, %417 : i64, !llvm.ptr
        %419 = llvm.load %279 : !llvm.ptr -> i64
        %420 = llvm.getelementptr %252[%419] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %418 = llvm.load %420 : !llvm.ptr -> i64
        %421 = llvm.load %353 : !llvm.ptr -> i64
        %422 = llvm.getelementptr %252[%421] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        llvm.store %418, %422 : i64, !llvm.ptr
        cf.br ^bb74
      ^bb73:
        cf.br ^bb74
      ^bb74:
      %423 = arith.subi %390, %387 : i64
      %424 = arith.constant 1 : i32
      %426 = arith.extsi %424 : i32 to i64
      %425 = arith.cmpi sgt, %423, %426 : i64
      cf.cond_br %425, ^bb75, ^bb76
      ^bb75:
        %427 = arith.addi %387, %390 : i64
        %428 = arith.constant 2 : i32
        %430 = arith.extsi %428 : i32 to i64
        %429 = arith.divsi %427, %430 : i64
        %431 = func.call @G(%429, %222, %228, %209, %212) : (i64, !llvm.ptr, !llvm.ptr, !llvm.ptr, !llvm.ptr) -> i64
        %432 = llvm.load %275 : !llvm.ptr -> i64
        %433 = arith.cmpi sgt, %431, %432 : i64
        cf.cond_br %433, ^bb78, ^bb79
        ^bb78:
          llvm.store %431, %275 : i64, !llvm.ptr
          cf.br ^bb80
        ^bb79:
          cf.br ^bb80
        ^bb80:
        %434 = arith.subi %429, %387 : i64
        %435 = arith.constant 1 : i32
        %437 = arith.extsi %435 : i32 to i64
        %436 = arith.cmpi sgt, %434, %437 : i64
        cf.cond_br %436, ^bb81, ^bb82
        ^bb81:
          %438 = arith.subi %429, %387 : i64
          %439 = arith.addi %431, %438 : i64
          %440 = llvm.load %275 : !llvm.ptr -> i64
          %441 = arith.cmpi sgt, %439, %440 : i64
          cf.cond_br %441, ^bb84, ^bb85
          ^bb84:
            %442 = llvm.load %279 : !llvm.ptr -> i64
            %443 = llvm.getelementptr %243[%442] : (!llvm.ptr, i64) -> !llvm.ptr, i64
            llvm.store %387, %443 : i64, !llvm.ptr
            %444 = llvm.load %279 : !llvm.ptr -> i64
            %445 = llvm.getelementptr %246[%444] : (!llvm.ptr, i64) -> !llvm.ptr, i64
            llvm.store %429, %445 : i64, !llvm.ptr
            %446 = llvm.load %279 : !llvm.ptr -> i64
            %447 = llvm.getelementptr %249[%446] : (!llvm.ptr, i64) -> !llvm.ptr, i64
            llvm.store %439, %447 : i64, !llvm.ptr
            %448 = llvm.load %279 : !llvm.ptr -> i64
            %449 = llvm.getelementptr %252[%448] : (!llvm.ptr, i64) -> !llvm.ptr, i64
            llvm.store %431, %449 : i64, !llvm.ptr
            %450 = llvm.load %279 : !llvm.ptr -> i64
            %451 = arith.constant 1 : i32
            %453 = arith.extsi %451 : i32 to i64
            %452 = arith.addi %450, %453 : i64
            llvm.store %452, %279 : i64, !llvm.ptr
            cf.br ^bb86
          ^bb85:
            cf.br ^bb86
          ^bb86:
          cf.br ^bb83
        ^bb82:
          cf.br ^bb83
        ^bb83:
        %454 = arith.subi %390, %429 : i64
        %455 = arith.constant 1 : i32
        %457 = arith.extsi %455 : i32 to i64
        %456 = arith.cmpi sgt, %454, %457 : i64
        cf.cond_br %456, ^bb87, ^bb88
        ^bb87:
          %458 = arith.subi %390, %429 : i64
          %459 = arith.addi %393, %458 : i64
          %460 = llvm.load %275 : !llvm.ptr -> i64
          %461 = arith.cmpi sgt, %459, %460 : i64
          cf.cond_br %461, ^bb90, ^bb91
          ^bb90:
            %462 = llvm.load %279 : !llvm.ptr -> i64
            %463 = llvm.getelementptr %243[%462] : (!llvm.ptr, i64) -> !llvm.ptr, i64
            llvm.store %429, %463 : i64, !llvm.ptr
            %464 = llvm.load %279 : !llvm.ptr -> i64
            %465 = llvm.getelementptr %246[%464] : (!llvm.ptr, i64) -> !llvm.ptr, i64
            llvm.store %390, %465 : i64, !llvm.ptr
            %466 = llvm.load %279 : !llvm.ptr -> i64
            %467 = llvm.getelementptr %249[%466] : (!llvm.ptr, i64) -> !llvm.ptr, i64
            llvm.store %459, %467 : i64, !llvm.ptr
            %468 = llvm.load %279 : !llvm.ptr -> i64
            %469 = llvm.getelementptr %252[%468] : (!llvm.ptr, i64) -> !llvm.ptr, i64
            llvm.store %393, %469 : i64, !llvm.ptr
            %470 = llvm.load %279 : !llvm.ptr -> i64
            %471 = arith.constant 1 : i32
            %473 = arith.extsi %471 : i32 to i64
            %472 = arith.addi %470, %473 : i64
            llvm.store %472, %279 : i64, !llvm.ptr
            cf.br ^bb92
          ^bb91:
            cf.br ^bb92
          ^bb92:
          cf.br ^bb89
        ^bb88:
          cf.br ^bb89
        ^bb89:
        cf.br ^bb77
      ^bb76:
        cf.br ^bb77
      ^bb77:
      cf.br ^bb60
    ^bb62:
    %474 = llvm.mlir.addressof @str_0 : !llvm.ptr
    %475 = llvm.load %275 : !llvm.ptr -> i64
    %476 = llvm.call @printf(%474, %475) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
    func.call @free(%252) : (!llvm.ptr) -> ()
    func.call @free(%249) : (!llvm.ptr) -> ()
    func.call @free(%246) : (!llvm.ptr) -> ()
    func.call @free(%243) : (!llvm.ptr) -> ()
    func.call @free(%228) : (!llvm.ptr) -> ()
    func.call @free(%222) : (!llvm.ptr) -> ()
    func.call @free(%212) : (!llvm.ptr) -> ()
    func.call @free(%209) : (!llvm.ptr) -> ()
    %485 = arith.constant 0 : i32
    func.return %485 : i32
  }
}