Problem 988

frog_sum(19, 53) = 2727531976556215755 DP keyed by height (0..~48). Each entry holds (count, total).

Answer2727531976556215755
Output2727531976556215755
StatusPASS
Native helperno
Runtime0 ms
Peak memory1072 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 988
# frog_sum(19, 53) = 2727531976556215755
# DP keyed by height (0..~48). Each entry holds (count, total).

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

const MAXW: i64 = 64
const MAXH: i64 = 64

function main() -> i32 {
    let mut a: i64 = 19
    let mut b: i64 = 53
    if a > b {
        let t: i64 = a
        a = b
        b = t
    }
    if a == 1 {
        printf("%lld\n", 0)
        return 0
    }

    let width: i64 = b - 1
    let h: ptr<i64> = calloc(MAXW + 1, 8)
    for i in 1..(width + 1) {
        h[i] = (a * b - a * i - 1) / b
    }

    let cnt: ptr<i64> = calloc(MAXH + 1, 8)
    let tot: ptr<i64> = calloc(MAXH + 1, 8)
    let ncnt: ptr<i64> = calloc(MAXH + 1, 8)
    let ntot: ptr<i64> = calloc(MAXH + 1, 8)

    for t in 0..(h[1] + 1) {
        cnt[t] = 1
        tot[t] = 0
    }

    for i in 2..(width + 1) {
        memset(ncnt, 0, (MAXH + 1) * 8)
        memset(ntot, 0, (MAXH + 1) * 8)
        for prev in 0..(MAXH + 1) {
            if cnt[prev] == 0 && tot[prev] == 0 {
                continue
            }
            let count: i64 = cnt[prev]
            let total: i64 = tot[prev]
            let limit: i64 = if prev < h[i] { prev } else { h[i] }
            for cur in 0..(limit + 1) {
                let mut add: i64 = 0
                if prev > cur && prev > 0 {
                    add = a * b - a * (i - 1) - b * prev
                }
                ncnt[cur] = ncnt[cur] + count
                ntot[cur] = ntot[cur] + total + count * add
            }
        }
        memcpy(cnt, ncnt, (MAXH + 1) * 8)
        memcpy(tot, ntot, (MAXH + 1) * 8)
    }

    let mut answer: i64 = 0
    let last_column: i64 = width
    for prev in 0..(MAXH + 1) {
        if cnt[prev] == 0 && tot[prev] == 0 {
            continue
        }
        let mut add: i64 = 0
        if prev > 0 {
            add = a * b - a * last_column - b * prev
        }
        answer = answer + tot[prev] + cnt[prev] * add
    }
    printf("%lld\n", answer)
    free(h)
    free(cnt)
    free(tot)
    free(ncnt)
    free(ntot)
    return 0
}

Generated C

#include <stdint.h>
#include <stdbool.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>

/* Flow runtime helpers */
typedef struct flow_temp_node { struct flow_temp_node* next; } flow_temp_node;
static flow_temp_node* flow_temp_head = NULL;
static int flow_temp_atexit_set = 0;
__attribute__((unused)) static void flow_temp_free_all(void) {
    while (flow_temp_head) {
        flow_temp_node* n = flow_temp_head;
        flow_temp_head = n->next;
        free(n);
    }
}
__attribute__((unused)) static void* flow_temp_alloc(size_t nbytes) {
    flow_temp_node* node = (flow_temp_node*)malloc(sizeof(flow_temp_node) + nbytes);
    if (!node) return NULL;
    node->next = flow_temp_head;
    flow_temp_head = node;
    if (!flow_temp_atexit_set) {
        flow_temp_atexit_set = 1;
        atexit(flow_temp_free_all);
    }
    return (void*)(node + 1);
}
#ifndef FLOW_DIAG
#define FLOW_DIAG(msg) fprintf(stderr, "%s", (msg))
#endif
#ifndef FLOW_LOG
#define FLOW_LOG(fmt, ...) printf(fmt, __VA_ARGS__)
#endif
#ifndef FLOW_LOG_EMPTY
#define FLOW_LOG_EMPTY(fmt) printf(fmt)
#endif
static char* flow_strcat(const char* a, const char* b) {
    size_t la = strlen(a ? a : ""), lb = strlen(b ? b : "");
    char* r = (char*)flow_temp_alloc(la + lb + 1);
    if (!r) return NULL;
    if (la) memcpy(r, a, la);
    if (lb) memcpy(r + la, b, lb);
    r[la + lb] = '\0';
    return r;
}

#define __flow_in_arr(arr, val) __extension__ ({ \
    int _found = 0; \
    size_t _n = sizeof(arr)/sizeof((arr)[0]); \
    for (size_t _i = 0; _i < _n; _i++) { \
        if ((arr)[_i] == (val)) { _found = 1; break; } \
    } _found; })

/* Unified fault handler (MISRA #279) — override with -DFLOW_FAULT_HANDLER=fn */
#ifndef FLOW_FAULT_HANDLER
__attribute__((unused)) static inline void flow_fault_handler(const char* msg) {
    fprintf(stderr, "flow: %s\n", msg ? msg : "fault");
    abort();
#if defined(__GNUC__) || defined(__clang__)
    __builtin_unreachable();
#endif
}
#else
#define flow_fault_handler FLOW_FAULT_HANDLER
#endif
#define flow_div_by_zero_handler() flow_fault_handler("division by zero")
#define flow_shift_ub_handler() flow_fault_handler("invalid shift (amount out of range or left-shift of negative)")

#ifndef FLOW_CHECKED_DIV
#define FLOW_CHECKED_DIV(L, R) (((R) != 0) ? ((L) / (R)) : (flow_div_by_zero_handler(), (L) * 0))
#endif
#ifndef FLOW_CHECKED_MOD
#define FLOW_CHECKED_MOD(L, R) (((R) != 0) ? ((L) % (R)) : (flow_div_by_zero_handler(), (L) * 0))
#endif
#ifndef FLOW_CHECKED_SHL
#define FLOW_CHECKED_SHL(L, R) ((((R) >= 0) && ((unsigned long long)(R) < (sizeof(L) * 8ull)) && ((L) >= 0)) ? ((L) << (R)) : (flow_shift_ub_handler(), (L) * 0))
#endif
#ifndef FLOW_CHECKED_SHR
#define FLOW_CHECKED_SHR(L, R) ((((R) >= 0) && ((unsigned long long)(R) < (sizeof(L) * 8ull))) ? ((L) >> (R)) : (flow_shift_ub_handler(), (L) * 0))
#endif

#include <math.h>

void* _ui_state = NULL;

static inline float i32_to_f32(int32_t v) { return (float)v; }

/* Host stub for @gpu kernels (device codegen replaces this). */
static inline int32_t gpu_thread_id(void) { return 0; }

int32_t main(void);

static const int64_t MAXW = 64;
static const int64_t MAXH = 64;





int32_t main(void) {
    int64_t a = 19;
    int64_t b = 53;
    if (a > b) {
        int64_t t = a;
        a = b;
        b = t;
    }
    if (a == 1) {
        printf("%lld\n", 0);
        return 0;
    }
    int64_t width = (b - 1);
    int64_t* h = (int64_t*)(calloc((MAXW + 1), 8));
    int32_t __flow_step_1 = 1;
    for (int32_t i = 1; (1 <= (width + 1)) ? i < (width + 1) : i > (width + 1); i += (1 <= (width + 1)) ? 1 : -1) {
        h[i] = FLOW_CHECKED_DIV(((((a * b) - (a * i)) - 1)), (b));
    }
    int64_t* cnt = (int64_t*)(calloc((MAXH + 1), 8));
    int64_t* tot = (int64_t*)(calloc((MAXH + 1), 8));
    int64_t* ncnt = (int64_t*)(calloc((MAXH + 1), 8));
    int64_t* ntot = (int64_t*)(calloc((MAXH + 1), 8));
    int32_t __flow_step_2 = 1;
    for (int32_t t = 0; (0 <= (h[1] + 1)) ? t < (h[1] + 1) : t > (h[1] + 1); t += (0 <= (h[1] + 1)) ? 1 : -1) {
        cnt[t] = 1;
        tot[t] = 0;
    }
    int32_t __flow_step_3 = 1;
    for (int32_t i = 2; (2 <= (width + 1)) ? i < (width + 1) : i > (width + 1); i += (2 <= (width + 1)) ? 1 : -1) {
        memset(ncnt, 0, ((MAXH + 1) * 8));
        memset(ntot, 0, ((MAXH + 1) * 8));
        int32_t __flow_step_4 = 1;
        for (int32_t prev = 0; (0 <= (MAXH + 1)) ? prev < (MAXH + 1) : prev > (MAXH + 1); prev += (0 <= (MAXH + 1)) ? 1 : -1) {
            if ((cnt[prev] == 0 && tot[prev] == 0)) {
                continue;
            }
            int64_t count = cnt[prev];
            int64_t total = tot[prev];
            int64_t limit = ((prev < h[i]) ? (prev) : (h[i]));
            int32_t __flow_step_5 = 1;
            for (int32_t cur = 0; (0 <= (limit + 1)) ? cur < (limit + 1) : cur > (limit + 1); cur += (0 <= (limit + 1)) ? 1 : -1) {
                int64_t add = 0;
                if ((prev > cur && prev > 0)) {
                    add = (((a * b) - (a * (i - 1))) - (b * prev));
                }
                ncnt[cur] = (ncnt[cur] + count);
                ntot[cur] = ((ntot[cur] + total) + (count * add));
            }
        }
        memcpy(cnt, ncnt, ((MAXH + 1) * 8));
        memcpy(tot, ntot, ((MAXH + 1) * 8));
    }
    int64_t answer = 0;
    int64_t last_column = width;
    int32_t __flow_step_6 = 1;
    for (int32_t prev = 0; (0 <= (MAXH + 1)) ? prev < (MAXH + 1) : prev > (MAXH + 1); prev += (0 <= (MAXH + 1)) ? 1 : -1) {
        if ((cnt[prev] == 0 && tot[prev] == 0)) {
            continue;
        }
        int64_t add = 0;
        if (prev > 0) {
            add = (((a * b) - (a * last_column)) - (b * prev));
        }
        answer = ((answer + tot[prev]) + (cnt[prev] * add));
    }
    printf("%lld\n", answer);
    free(h);
    free(cnt);
    free(tot);
    free(ncnt);
    free(ntot);
    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
  func.func private @memcpy(!llvm.ptr, !llvm.ptr, i64) -> !llvm.ptr
  // Constant: MAXW
  llvm.mlir.global internal constant @MAXW(64 : i64) : i64
  // Constant: MAXH
  llvm.mlir.global internal constant @MAXH(64 : i64) : i64
  func.func @main() -> i32 {
    %0 = arith.constant 19 : i32
    %1 = arith.extsi %0 : i32 to i64
    %2 = llvm.mlir.constant(1 : i64) : i64
    %3 = llvm.alloca %2 x i64 : (i64) -> !llvm.ptr
    llvm.store %1, %3 : i64, !llvm.ptr
    %4 = arith.constant 53 : i32
    %5 = arith.extsi %4 : i32 to i64
    %6 = llvm.mlir.constant(1 : i64) : i64
    %7 = llvm.alloca %6 x i64 : (i64) -> !llvm.ptr
    llvm.store %5, %7 : i64, !llvm.ptr
    %8 = llvm.load %3 : !llvm.ptr -> i64
    %9 = llvm.load %7 : !llvm.ptr -> i64
    %10 = arith.cmpi sgt, %8, %9 : i64
    cf.cond_br %10, ^bb0, ^bb1
    ^bb0:
      %11 = llvm.load %3 : !llvm.ptr -> i64
      %12 = llvm.load %7 : !llvm.ptr -> i64
      llvm.store %12, %3 : i64, !llvm.ptr
      llvm.store %11, %7 : i64, !llvm.ptr
      cf.br ^bb2
    ^bb1:
      cf.br ^bb2
    ^bb2:
    %13 = llvm.load %3 : !llvm.ptr -> i64
    %14 = arith.constant 1 : i32
    %16 = arith.extsi %14 : i32 to i64
    %15 = arith.cmpi eq, %13, %16 : i64
    cf.cond_br %15, ^bb3, ^bb4
    ^bb3:
      %17 = llvm.mlir.addressof @str_0 : !llvm.ptr
      %18 = arith.constant 0 : i32
      %19 = llvm.call @printf(%17, %18) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i32) -> i32
      %20 = arith.constant 0 : i32
      func.return %20 : i32
    ^bb4:
      cf.br ^bb5
    ^bb5:
    %21 = llvm.load %7 : !llvm.ptr -> i64
    %22 = arith.constant 1 : i32
    %24 = arith.extsi %22 : i32 to i64
    %23 = arith.subi %21, %24 : i64
    %26 = llvm.mlir.addressof @MAXW : !llvm.ptr
    %27 = llvm.load %26 : !llvm.ptr -> i64
    %28 = arith.constant 1 : i32
    %30 = arith.extsi %28 : i32 to i64
    %29 = arith.addi %27, %30 : i64
    %31 = arith.constant 8 : i32
    %32 = arith.extsi %31 : i32 to i64
    %25 = func.call @calloc(%29, %32) : (i64, i64) -> !llvm.ptr
    %33 = arith.constant 1 : i32
    %34 = arith.constant 1 : i32
    %36 = arith.extsi %34 : i32 to i64
    %35 = arith.addi %23, %36 : i64
    %37 = arith.index_cast %33 : i32 to index
    %38 = arith.index_cast %35 : i32 to index
    %40 = arith.constant 1 : index
    %41 = arith.constant -1 : index
    %42 = arith.cmpi sle, %37, %38 : index
    %39 = arith.select %42, %40, %41 : index
    cf.br ^bb6(%37 : index)
    ^bb6(%43: index):
    %44 = arith.cmpi slt, %43, %38 : index
    %45 = arith.cmpi sgt, %43, %38 : index
    %46 = arith.select %42, %44, %45 : i1
    cf.cond_br %46, ^bb7(%43 : index), ^bb8(%43 : index)
    ^bb7(%47: index):
      %48 = llvm.load %3 : !llvm.ptr -> i64
      %49 = llvm.load %7 : !llvm.ptr -> i64
      %50 = arith.muli %48, %49 : i64
      %51 = llvm.load %3 : !llvm.ptr -> i64
      %53 = arith.trunci %51 : i64 to i32
      %54 = arith.index_cast %47 : index to i32
      %52 = arith.muli %53, %54 : i32
      %56 = arith.extsi %52 : i32 to i64
      %55 = arith.subi %50, %56 : i64
      %57 = arith.constant 1 : i32
      %59 = arith.extsi %57 : i32 to i64
      %58 = arith.subi %55, %59 : i64
      %60 = llvm.load %7 : !llvm.ptr -> i64
      %61 = arith.divsi %58, %60 : i64
      %62 = arith.index_cast %47 : index to i64
      %63 = llvm.getelementptr %25[%62] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %61, %63 : i64, !llvm.ptr
      %64 = arith.addi %47, %39 : index
      cf.br ^bb6(%64 : index)
    ^bb8(%65: index):
    %67 = llvm.mlir.addressof @MAXH : !llvm.ptr
    %68 = llvm.load %67 : !llvm.ptr -> i64
    %69 = arith.constant 1 : i32
    %71 = arith.extsi %69 : i32 to i64
    %70 = arith.addi %68, %71 : i64
    %72 = arith.constant 8 : i32
    %73 = arith.extsi %72 : i32 to i64
    %66 = func.call @calloc(%70, %73) : (i64, i64) -> !llvm.ptr
    %75 = llvm.mlir.addressof @MAXH : !llvm.ptr
    %76 = llvm.load %75 : !llvm.ptr -> i64
    %77 = arith.constant 1 : i32
    %79 = arith.extsi %77 : i32 to i64
    %78 = arith.addi %76, %79 : i64
    %80 = arith.constant 8 : i32
    %81 = arith.extsi %80 : i32 to i64
    %74 = func.call @calloc(%78, %81) : (i64, i64) -> !llvm.ptr
    %83 = llvm.mlir.addressof @MAXH : !llvm.ptr
    %84 = llvm.load %83 : !llvm.ptr -> i64
    %85 = arith.constant 1 : i32
    %87 = arith.extsi %85 : i32 to i64
    %86 = arith.addi %84, %87 : i64
    %88 = arith.constant 8 : i32
    %89 = arith.extsi %88 : i32 to i64
    %82 = func.call @calloc(%86, %89) : (i64, i64) -> !llvm.ptr
    %91 = llvm.mlir.addressof @MAXH : !llvm.ptr
    %92 = llvm.load %91 : !llvm.ptr -> i64
    %93 = arith.constant 1 : i32
    %95 = arith.extsi %93 : i32 to i64
    %94 = arith.addi %92, %95 : i64
    %96 = arith.constant 8 : i32
    %97 = arith.extsi %96 : i32 to i64
    %90 = func.call @calloc(%94, %97) : (i64, i64) -> !llvm.ptr
    %98 = arith.constant 0 : i32
    %100 = arith.constant 1 : i32
    %101 = arith.extsi %100 : i32 to i64
    %102 = llvm.getelementptr %25[%101] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    %99 = llvm.load %102 : !llvm.ptr -> i64
    %103 = arith.constant 1 : i32
    %105 = arith.extsi %103 : i32 to i64
    %104 = arith.addi %99, %105 : i64
    %106 = arith.index_cast %98 : i32 to index
    %107 = arith.index_cast %104 : i32 to index
    %109 = arith.constant 1 : index
    %110 = arith.constant -1 : index
    %111 = arith.cmpi sle, %106, %107 : index
    %108 = arith.select %111, %109, %110 : index
    cf.br ^bb9(%106 : index)
    ^bb9(%112: index):
    %113 = arith.cmpi slt, %112, %107 : index
    %114 = arith.cmpi sgt, %112, %107 : index
    %115 = arith.select %111, %113, %114 : i1
    cf.cond_br %115, ^bb10(%112 : index), ^bb11(%112 : index)
    ^bb10(%116: index):
      %117 = arith.constant 1 : i32
      %118 = arith.extsi %117 : i32 to i64
      %119 = arith.index_cast %116 : index to i64
      %120 = llvm.getelementptr %66[%119] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %118, %120 : i64, !llvm.ptr
      %121 = arith.constant 0 : i32
      %122 = arith.extsi %121 : i32 to i64
      %123 = arith.index_cast %116 : index to i64
      %124 = llvm.getelementptr %74[%123] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %122, %124 : i64, !llvm.ptr
      %125 = arith.addi %116, %108 : index
      cf.br ^bb9(%125 : index)
    ^bb11(%126: index):
    %127 = arith.constant 2 : i32
    %128 = arith.constant 1 : i32
    %130 = arith.extsi %128 : i32 to i64
    %129 = arith.addi %23, %130 : i64
    %131 = arith.index_cast %127 : i32 to index
    %132 = arith.index_cast %129 : i32 to index
    %134 = arith.constant 1 : index
    %135 = arith.constant -1 : index
    %136 = arith.cmpi sle, %131, %132 : index
    %133 = arith.select %136, %134, %135 : index
    cf.br ^bb12(%131 : index)
    ^bb12(%137: index):
    %138 = arith.cmpi slt, %137, %132 : index
    %139 = arith.cmpi sgt, %137, %132 : index
    %140 = arith.select %136, %138, %139 : i1
    cf.cond_br %140, ^bb13(%137 : index), ^bb14(%137 : index)
    ^bb13(%141: index):
      %143 = arith.constant 0 : i32
      %144 = llvm.mlir.addressof @MAXH : !llvm.ptr
      %145 = llvm.load %144 : !llvm.ptr -> i64
      %146 = arith.constant 1 : i32
      %148 = arith.extsi %146 : i32 to i64
      %147 = arith.addi %145, %148 : i64
      %149 = arith.constant 8 : i32
      %151 = arith.extsi %149 : i32 to i64
      %150 = arith.muli %147, %151 : i64
      %142 = func.call @memset(%82, %143, %150) : (!llvm.ptr, i32, i64) -> !llvm.ptr
      %153 = arith.constant 0 : i32
      %154 = llvm.mlir.addressof @MAXH : !llvm.ptr
      %155 = llvm.load %154 : !llvm.ptr -> i64
      %156 = arith.constant 1 : i32
      %158 = arith.extsi %156 : i32 to i64
      %157 = arith.addi %155, %158 : i64
      %159 = arith.constant 8 : i32
      %161 = arith.extsi %159 : i32 to i64
      %160 = arith.muli %157, %161 : i64
      %152 = func.call @memset(%90, %153, %160) : (!llvm.ptr, i32, i64) -> !llvm.ptr
      %162 = arith.constant 0 : i32
      %163 = llvm.mlir.addressof @MAXH : !llvm.ptr
      %164 = llvm.load %163 : !llvm.ptr -> i64
      %165 = arith.constant 1 : i32
      %167 = arith.extsi %165 : i32 to i64
      %166 = arith.addi %164, %167 : i64
      %168 = arith.index_cast %162 : i32 to index
      %169 = arith.index_cast %166 : i32 to index
      %171 = arith.constant 1 : index
      %172 = arith.constant -1 : index
      %173 = arith.cmpi sle, %168, %169 : index
      %170 = arith.select %173, %171, %172 : index
      cf.br ^bb15(%168 : index)
      ^bb15(%174: index):
      %175 = arith.cmpi slt, %174, %169 : index
      %176 = arith.cmpi sgt, %174, %169 : index
      %177 = arith.select %173, %175, %176 : i1
      cf.cond_br %177, ^bb16(%174 : index), ^bb17(%174 : index)
      ^bb16(%178: index):
        %180 = arith.index_cast %178 : index to i64
        %181 = llvm.getelementptr %66[%180] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %179 = llvm.load %181 : !llvm.ptr -> i64
        %182 = arith.constant 0 : i32
        %184 = arith.extsi %182 : i32 to i64
        %183 = arith.cmpi eq, %179, %184 : i64
        %185 = scf.if %183 -> (i1) {
          %187 = arith.index_cast %178 : index to i64
          %188 = llvm.getelementptr %74[%187] : (!llvm.ptr, i64) -> !llvm.ptr, i64
          %186 = llvm.load %188 : !llvm.ptr -> i64
          %189 = arith.constant 0 : i32
          %191 = arith.extsi %189 : i32 to i64
          %190 = arith.cmpi eq, %186, %191 : i64
          scf.yield %190 : i1
        } else {
          %192 = arith.constant false
          scf.yield %192 : i1
        }
        cf.cond_br %185, ^bb18, ^bb19
        ^bb18:
          %193 = arith.addi %178, %170 : index
          cf.br ^bb15(%193 : index)
        ^bb19:
          cf.br ^bb20
        ^bb20:
        %195 = arith.index_cast %178 : index to i64
        %196 = llvm.getelementptr %66[%195] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %194 = llvm.load %196 : !llvm.ptr -> i64
        %198 = arith.index_cast %178 : index to i64
        %199 = llvm.getelementptr %74[%198] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %197 = llvm.load %199 : !llvm.ptr -> i64
        %201 = arith.index_cast %141 : index to i64
        %202 = llvm.getelementptr %25[%201] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %200 = llvm.load %202 : !llvm.ptr -> i64
        %204 = arith.index_cast %178 : index to i32
        %205 = arith.trunci %200 : i64 to i32
        %203 = arith.cmpi slt, %204, %205 : i32
        %206 = scf.if %203 -> (index) {
          scf.yield %178 : index
        } else {
          %208 = arith.index_cast %141 : index to i64
          %209 = llvm.getelementptr %25[%208] : (!llvm.ptr, i64) -> !llvm.ptr, i64
          %207 = llvm.load %209 : !llvm.ptr -> i64
          scf.yield %207 : i64
        }
        %210 = arith.index_cast %206 : index to i64
        %211 = arith.constant 0 : i32
        %212 = arith.constant 1 : i32
        %214 = arith.extsi %212 : i32 to i64
        %213 = arith.addi %210, %214 : i64
        %215 = arith.index_cast %211 : i32 to index
        %216 = arith.index_cast %213 : i32 to index
        %218 = arith.constant 1 : index
        %219 = arith.constant -1 : index
        %220 = arith.cmpi sle, %215, %216 : index
        %217 = arith.select %220, %218, %219 : index
        cf.br ^bb21(%215 : index)
        ^bb21(%221: index):
        %222 = arith.cmpi slt, %221, %216 : index
        %223 = arith.cmpi sgt, %221, %216 : index
        %224 = arith.select %220, %222, %223 : i1
        cf.cond_br %224, ^bb22(%221 : index), ^bb23(%221 : index)
        ^bb22(%225: index):
          %226 = arith.constant 0 : i32
          %227 = arith.extsi %226 : i32 to i64
          %228 = llvm.mlir.constant(1 : i64) : i64
          %229 = llvm.alloca %228 x i64 : (i64) -> !llvm.ptr
          llvm.store %227, %229 : i64, !llvm.ptr
          %230 = arith.cmpi sgt, %178, %225 : index
          %231 = scf.if %230 -> (i1) {
            %232 = arith.constant 0 : i32
            %234 = arith.index_cast %178 : index to i32
            %233 = arith.cmpi sgt, %234, %232 : i32
            scf.yield %233 : i1
          } else {
            %235 = arith.constant false
            scf.yield %235 : i1
          }
          cf.cond_br %231, ^bb24, ^bb25
          ^bb24:
            %236 = llvm.load %3 : !llvm.ptr -> i64
            %237 = llvm.load %7 : !llvm.ptr -> i64
            %238 = arith.muli %236, %237 : i64
            %239 = llvm.load %3 : !llvm.ptr -> i64
            %240 = arith.constant 1 : i32
            %242 = arith.index_cast %141 : index to i32
            %241 = arith.subi %242, %240 : i32
            %244 = arith.extsi %241 : i32 to i64
            %243 = arith.muli %239, %244 : i64
            %245 = arith.subi %238, %243 : i64
            %246 = llvm.load %7 : !llvm.ptr -> i64
            %248 = arith.trunci %246 : i64 to i32
            %249 = arith.index_cast %178 : index to i32
            %247 = arith.muli %248, %249 : i32
            %251 = arith.extsi %247 : i32 to i64
            %250 = arith.subi %245, %251 : i64
            llvm.store %250, %229 : i64, !llvm.ptr
            cf.br ^bb26
          ^bb25:
            cf.br ^bb26
          ^bb26:
          %253 = arith.index_cast %225 : index to i64
          %254 = llvm.getelementptr %82[%253] : (!llvm.ptr, i64) -> !llvm.ptr, i64
          %252 = llvm.load %254 : !llvm.ptr -> i64
          %255 = arith.addi %252, %194 : i64
          %256 = arith.index_cast %225 : index to i64
          %257 = llvm.getelementptr %82[%256] : (!llvm.ptr, i64) -> !llvm.ptr, i64
          llvm.store %255, %257 : i64, !llvm.ptr
          %259 = arith.index_cast %225 : index to i64
          %260 = llvm.getelementptr %90[%259] : (!llvm.ptr, i64) -> !llvm.ptr, i64
          %258 = llvm.load %260 : !llvm.ptr -> i64
          %261 = arith.addi %258, %197 : i64
          %262 = llvm.load %229 : !llvm.ptr -> i64
          %263 = arith.muli %194, %262 : i64
          %264 = arith.addi %261, %263 : i64
          %265 = arith.index_cast %225 : index to i64
          %266 = llvm.getelementptr %90[%265] : (!llvm.ptr, i64) -> !llvm.ptr, i64
          llvm.store %264, %266 : i64, !llvm.ptr
          %267 = arith.addi %225, %217 : index
          cf.br ^bb21(%267 : index)
        ^bb23(%268: index):
        %269 = arith.addi %178, %170 : index
        cf.br ^bb15(%269 : index)
      ^bb17(%270: index):
      %272 = llvm.mlir.addressof @MAXH : !llvm.ptr
      %273 = llvm.load %272 : !llvm.ptr -> i64
      %274 = arith.constant 1 : i32
      %276 = arith.extsi %274 : i32 to i64
      %275 = arith.addi %273, %276 : i64
      %277 = arith.constant 8 : i32
      %279 = arith.extsi %277 : i32 to i64
      %278 = arith.muli %275, %279 : i64
      %271 = func.call @memcpy(%66, %82, %278) : (!llvm.ptr, !llvm.ptr, i64) -> !llvm.ptr
      %281 = llvm.mlir.addressof @MAXH : !llvm.ptr
      %282 = llvm.load %281 : !llvm.ptr -> i64
      %283 = arith.constant 1 : i32
      %285 = arith.extsi %283 : i32 to i64
      %284 = arith.addi %282, %285 : i64
      %286 = arith.constant 8 : i32
      %288 = arith.extsi %286 : i32 to i64
      %287 = arith.muli %284, %288 : i64
      %280 = func.call @memcpy(%74, %90, %287) : (!llvm.ptr, !llvm.ptr, i64) -> !llvm.ptr
      %289 = arith.addi %141, %133 : index
      cf.br ^bb12(%289 : index)
    ^bb14(%290: index):
    %291 = arith.constant 0 : i32
    %292 = arith.extsi %291 : i32 to i64
    %293 = llvm.mlir.constant(1 : i64) : i64
    %294 = llvm.alloca %293 x i64 : (i64) -> !llvm.ptr
    llvm.store %292, %294 : i64, !llvm.ptr
    %295 = arith.constant 0 : i32
    %296 = llvm.mlir.addressof @MAXH : !llvm.ptr
    %297 = llvm.load %296 : !llvm.ptr -> i64
    %298 = arith.constant 1 : i32
    %300 = arith.extsi %298 : i32 to i64
    %299 = arith.addi %297, %300 : i64
    %301 = arith.index_cast %295 : i32 to index
    %302 = arith.index_cast %299 : i32 to index
    %304 = arith.constant 1 : index
    %305 = arith.constant -1 : index
    %306 = arith.cmpi sle, %301, %302 : index
    %303 = arith.select %306, %304, %305 : index
    cf.br ^bb27(%301 : index)
    ^bb27(%307: index):
    %308 = arith.cmpi slt, %307, %302 : index
    %309 = arith.cmpi sgt, %307, %302 : index
    %310 = arith.select %306, %308, %309 : i1
    cf.cond_br %310, ^bb28(%307 : index), ^bb29(%307 : index)
    ^bb28(%311: index):
      %313 = arith.index_cast %311 : index to i64
      %314 = llvm.getelementptr %66[%313] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %312 = llvm.load %314 : !llvm.ptr -> i64
      %315 = arith.constant 0 : i32
      %317 = arith.extsi %315 : i32 to i64
      %316 = arith.cmpi eq, %312, %317 : i64
      %318 = scf.if %316 -> (i1) {
        %320 = arith.index_cast %311 : index to i64
        %321 = llvm.getelementptr %74[%320] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %319 = llvm.load %321 : !llvm.ptr -> i64
        %322 = arith.constant 0 : i32
        %324 = arith.extsi %322 : i32 to i64
        %323 = arith.cmpi eq, %319, %324 : i64
        scf.yield %323 : i1
      } else {
        %325 = arith.constant false
        scf.yield %325 : i1
      }
      cf.cond_br %318, ^bb30, ^bb31
      ^bb30:
        %326 = arith.addi %311, %303 : index
        cf.br ^bb27(%326 : index)
      ^bb31:
        cf.br ^bb32
      ^bb32:
      %327 = arith.constant 0 : i32
      %328 = arith.extsi %327 : i32 to i64
      %329 = llvm.mlir.constant(1 : i64) : i64
      %330 = llvm.alloca %329 x i64 : (i64) -> !llvm.ptr
      llvm.store %328, %330 : i64, !llvm.ptr
      %331 = arith.constant 0 : i32
      %333 = arith.index_cast %311 : index to i32
      %332 = arith.cmpi sgt, %333, %331 : i32
      cf.cond_br %332, ^bb33, ^bb34
      ^bb33:
        %334 = llvm.load %3 : !llvm.ptr -> i64
        %335 = llvm.load %7 : !llvm.ptr -> i64
        %336 = arith.muli %334, %335 : i64
        %337 = llvm.load %3 : !llvm.ptr -> i64
        %338 = arith.muli %337, %23 : i64
        %339 = arith.subi %336, %338 : i64
        %340 = llvm.load %7 : !llvm.ptr -> i64
        %342 = arith.trunci %340 : i64 to i32
        %343 = arith.index_cast %311 : index to i32
        %341 = arith.muli %342, %343 : i32
        %345 = arith.extsi %341 : i32 to i64
        %344 = arith.subi %339, %345 : i64
        llvm.store %344, %330 : i64, !llvm.ptr
        cf.br ^bb35
      ^bb34:
        cf.br ^bb35
      ^bb35:
      %346 = llvm.load %294 : !llvm.ptr -> i64
      %348 = arith.index_cast %311 : index to i64
      %349 = llvm.getelementptr %74[%348] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %347 = llvm.load %349 : !llvm.ptr -> i64
      %350 = arith.addi %346, %347 : i64
      %352 = arith.index_cast %311 : index to i64
      %353 = llvm.getelementptr %66[%352] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %351 = llvm.load %353 : !llvm.ptr -> i64
      %354 = llvm.load %330 : !llvm.ptr -> i64
      %355 = arith.muli %351, %354 : i64
      %356 = arith.addi %350, %355 : i64
      llvm.store %356, %294 : i64, !llvm.ptr
      %357 = arith.addi %311, %303 : index
      cf.br ^bb27(%357 : index)
    ^bb29(%358: index):
    %359 = llvm.mlir.addressof @str_0 : !llvm.ptr
    %360 = llvm.load %294 : !llvm.ptr -> i64
    %361 = llvm.call @printf(%359, %360) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
    func.call @free(%25) : (!llvm.ptr) -> ()
    func.call @free(%66) : (!llvm.ptr) -> ()
    func.call @free(%74) : (!llvm.ptr) -> ()
    func.call @free(%82) : (!llvm.ptr) -> ()
    func.call @free(%90) : (!llvm.ptr) -> ()
    %367 = arith.constant 0 : i32
    func.return %367 : i32
  }
}