Problem 426

Box-ball soliton sum of squares for t_0..t_{10^7}.

Answer31591886008
Output31591886008
StatusPASS
Native helperno
Runtime60 ms
Peak memory1152 KB
Time complexityO(n) (estimated)
Space complexityO(n) (estimated)

Performance comparison

MetricOur solutionBest known
Time complexityO(n)O(n log log n)
Space complexityO(n)O(n)
ApproachFlow solutionSieve-based representation count
VerdictOptimal

Flow source

# Project Euler 426
# Box-ball soliton sum of squares for t_0..t_{10^7}.

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

function main() -> i32 {
    let N: i64 = 10000000
    let cap: i64 = N + 1000
    let stack_sym: ptr<i8> = calloc(cap, 1)
    let stack_len: ptr<i64> = calloc(cap, 8)
    if stack_sym == null || stack_len == null { return 1 }

    let mut top: i64 = 0
    stack_sym[0] = 0
    stack_len[0] = 1000000000000000000
    top = 1

    let mut sum_sq: i64 = 0
    let mut total_balls: i64 = 0
    let mut cur_sym: i32 = 1
    let mut s: i64 = 290797
    let mut idx: i64 = 0
    while idx <= N {
        let L: i64 = (s % 64) + 1
        s = (s * s) % 50515093
        if cur_sym == 1 {
            total_balls = total_balls + L
        }
        if (stack_sym[top - 1] as i32) == cur_sym {
            stack_len[top - 1] = stack_len[top - 1] + L
        } else {
            stack_sym[top] = cur_sym as i8
            stack_len[top] = L
            top = top + 1
        }
        while top >= 2 && stack_len[top - 1] >= stack_len[top - 2] {
            let k: i64 = stack_len[top - 2]
            sum_sq = sum_sq + k * k
            let cur_s: i32 = stack_sym[top - 1] as i32
            let cur_l: i64 = stack_len[top - 1] - k
            top = top - 2
            if cur_l > 0 {
                if (stack_sym[top - 1] as i32) == cur_s {
                    stack_len[top - 1] = stack_len[top - 1] + cur_l
                } else {
                    stack_sym[top] = cur_s as i8
                    stack_len[top] = cur_l
                    top = top + 1
                }
            }
        }
        cur_sym = 1 - cur_sym
        idx = idx + 1
    }

    let trailing: i64 = total_balls + 100
    if (stack_sym[top - 1] as i32) == 0 {
        stack_len[top - 1] = stack_len[top - 1] + trailing
    } else {
        stack_sym[top] = 0
        stack_len[top] = trailing
        top = top + 1
    }
    while top >= 2 && stack_len[top - 1] >= stack_len[top - 2] {
        let k: i64 = stack_len[top - 2]
        sum_sq = sum_sq + k * k
        let cur_s: i32 = stack_sym[top - 1] as i32
        let cur_l: i64 = stack_len[top - 1] - k
        top = top - 2
        if cur_l > 0 {
            if (stack_sym[top - 1] as i32) == cur_s {
                stack_len[top - 1] = stack_len[top - 1] + cur_l
            } else {
                stack_sym[top] = cur_s as i8
                stack_len[top] = cur_l
                top = top + 1
            }
        }
    }
    printf("%lld\n", sum_sq)
    free(stack_len)
    free(stack_sym)
    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);



int32_t main(void) {
    int64_t N = 10000000;
    int64_t cap = (N + 1000);
    int8_t* stack_sym = (int8_t*)(calloc(cap, 1));
    int64_t* stack_len = (int64_t*)(calloc(cap, 8));
    if ((stack_sym == NULL || stack_len == NULL)) {
        return 1;
    }
    int64_t top = 0;
    stack_sym[0] = 0;
    stack_len[0] = 1000000000000000000;
    top = 1;
    int64_t sum_sq = 0;
    int64_t total_balls = 0;
    int32_t cur_sym = 1;
    int64_t s = 290797;
    int64_t idx = 0;
    while (idx <= N) {
        int64_t L = (FLOW_CHECKED_MOD((s), (64)) + 1);
        s = FLOW_CHECKED_MOD(((s * s)), (50515093));
        if (cur_sym == 1) {
            total_balls = (total_balls + L);
        }
        if (((int32_t)(stack_sym[(top - 1)])) == cur_sym) {
            stack_len[(top - 1)] = (stack_len[(top - 1)] + L);
        } else {
            stack_sym[top] = ((int8_t)(cur_sym));
            stack_len[top] = L;
            top = (top + 1);
        }
        while ((top >= 2 && stack_len[(top - 1)] >= stack_len[(top - 2)])) {
            int64_t k = stack_len[(top - 2)];
            sum_sq = (sum_sq + (k * k));
            int32_t cur_s = ((int32_t)(stack_sym[(top - 1)]));
            int64_t cur_l = (stack_len[(top - 1)] - k);
            top = (top - 2);
            if (cur_l > 0) {
                if (((int32_t)(stack_sym[(top - 1)])) == cur_s) {
                    stack_len[(top - 1)] = (stack_len[(top - 1)] + cur_l);
                } else {
                    stack_sym[top] = ((int8_t)(cur_s));
                    stack_len[top] = cur_l;
                    top = (top + 1);
                }
            }
        }
        cur_sym = (1 - cur_sym);
        idx = (idx + 1);
    }
    int64_t trailing = (total_balls + 100);
    if (((int32_t)(stack_sym[(top - 1)])) == 0) {
        stack_len[(top - 1)] = (stack_len[(top - 1)] + trailing);
    } else {
        stack_sym[top] = 0;
        stack_len[top] = trailing;
        top = (top + 1);
    }
    while ((top >= 2 && stack_len[(top - 1)] >= stack_len[(top - 2)])) {
        int64_t k = stack_len[(top - 2)];
        sum_sq = (sum_sq + (k * k));
        int32_t cur_s = ((int32_t)(stack_sym[(top - 1)]));
        int64_t cur_l = (stack_len[(top - 1)] - k);
        top = (top - 2);
        if (cur_l > 0) {
            if (((int32_t)(stack_sym[(top - 1)])) == cur_s) {
                stack_len[(top - 1)] = (stack_len[(top - 1)] + cur_l);
            } else {
                stack_sym[top] = ((int8_t)(cur_s));
                stack_len[top] = cur_l;
                top = (top + 1);
            }
        }
    }
    printf("%lld\n", sum_sq);
    free(stack_len);
    free(stack_sym);
    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 @main() -> i32 {
    %0 = arith.constant 10000000 : i32
    %1 = arith.extsi %0 : i32 to i64
    %2 = arith.constant 1000 : i32
    %4 = arith.extsi %2 : i32 to i64
    %3 = arith.addi %1, %4 : i64
    %6 = arith.constant 1 : i32
    %7 = arith.extsi %6 : i32 to i64
    %5 = func.call @calloc(%3, %7) : (i64, i64) -> !llvm.ptr
    %9 = arith.constant 8 : i32
    %10 = arith.extsi %9 : i32 to i64
    %8 = func.call @calloc(%3, %10) : (i64, i64) -> !llvm.ptr
    %11 = llvm.mlir.zero : !llvm.ptr
    %12 = llvm.icmp "eq" %5, %11 : !llvm.ptr
    %13 = scf.if %12 -> (i1) {
      %14 = arith.constant true
      scf.yield %14 : i1
    } else {
      %15 = llvm.mlir.zero : !llvm.ptr
      %16 = llvm.icmp "eq" %8, %15 : !llvm.ptr
      scf.yield %16 : i1
    }
    cf.cond_br %13, ^bb0, ^bb1
    ^bb0:
      %17 = arith.constant 1 : i32
      func.return %17 : i32
    ^bb1:
      cf.br ^bb2
    ^bb2:
    %18 = arith.constant 0 : i32
    %19 = arith.extsi %18 : i32 to i64
    %20 = llvm.mlir.constant(1 : i64) : i64
    %21 = llvm.alloca %20 x i64 : (i64) -> !llvm.ptr
    llvm.store %19, %21 : i64, !llvm.ptr
    %22 = arith.constant 0 : i32
    %23 = arith.constant 0 : i32
    %24 = arith.trunci %22 : i32 to i8
    %25 = arith.extsi %23 : i32 to i64
    %26 = llvm.getelementptr %5[%25] : (!llvm.ptr, i64) -> !llvm.ptr, i8
    llvm.store %24, %26 : i8, !llvm.ptr
    %27 = arith.constant 999999995705032704 : i32
    %28 = arith.constant 0 : i32
    %29 = arith.extsi %27 : i32 to i64
    %30 = arith.extsi %28 : i32 to i64
    %31 = llvm.getelementptr %8[%30] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %29, %31 : i64, !llvm.ptr
    %32 = arith.constant 1 : i32
    %33 = arith.extsi %32 : i32 to i64
    llvm.store %33, %21 : i64, !llvm.ptr
    %34 = arith.constant 0 : i32
    %35 = arith.extsi %34 : i32 to i64
    %36 = llvm.mlir.constant(1 : i64) : i64
    %37 = llvm.alloca %36 x i64 : (i64) -> !llvm.ptr
    llvm.store %35, %37 : i64, !llvm.ptr
    %38 = arith.constant 0 : i32
    %39 = arith.extsi %38 : i32 to i64
    %40 = llvm.mlir.constant(1 : i64) : i64
    %41 = llvm.alloca %40 x i64 : (i64) -> !llvm.ptr
    llvm.store %39, %41 : i64, !llvm.ptr
    %42 = arith.constant 1 : i32
    %43 = llvm.mlir.constant(1 : i64) : i64
    %44 = llvm.alloca %43 x i32 : (i64) -> !llvm.ptr
    llvm.store %42, %44 : i32, !llvm.ptr
    %45 = arith.constant 290797 : i32
    %46 = arith.extsi %45 : i32 to i64
    %47 = llvm.mlir.constant(1 : i64) : i64
    %48 = llvm.alloca %47 x i64 : (i64) -> !llvm.ptr
    llvm.store %46, %48 : i64, !llvm.ptr
    %49 = arith.constant 0 : i32
    %50 = arith.extsi %49 : i32 to i64
    %51 = llvm.mlir.constant(1 : i64) : i64
    %52 = llvm.alloca %51 x i64 : (i64) -> !llvm.ptr
    llvm.store %50, %52 : i64, !llvm.ptr
    cf.br ^bb3
    ^bb3:
    %53 = llvm.load %52 : !llvm.ptr -> i64
    %54 = arith.cmpi sle, %53, %1 : i64
    cf.cond_br %54, ^bb4, ^bb5
    ^bb4:
      %55 = llvm.load %48 : !llvm.ptr -> i64
      %56 = arith.constant 64 : i32
      %58 = arith.extsi %56 : i32 to i64
      %57 = arith.remsi %55, %58 : i64
      %59 = arith.constant 1 : i32
      %61 = arith.extsi %59 : i32 to i64
      %60 = arith.addi %57, %61 : i64
      %62 = llvm.load %48 : !llvm.ptr -> i64
      %63 = llvm.load %48 : !llvm.ptr -> i64
      %64 = arith.muli %62, %63 : i64
      %65 = arith.constant 50515093 : i32
      %67 = arith.extsi %65 : i32 to i64
      %66 = arith.remsi %64, %67 : i64
      llvm.store %66, %48 : i64, !llvm.ptr
      %68 = llvm.load %44 : !llvm.ptr -> i32
      %69 = arith.constant 1 : i32
      %70 = arith.cmpi eq, %68, %69 : i32
      cf.cond_br %70, ^bb6, ^bb7
      ^bb6:
        %71 = llvm.load %41 : !llvm.ptr -> i64
        %72 = arith.addi %71, %60 : i64
        llvm.store %72, %41 : i64, !llvm.ptr
        cf.br ^bb8
      ^bb7:
        cf.br ^bb8
      ^bb8:
      %74 = llvm.load %21 : !llvm.ptr -> i64
      %75 = arith.constant 1 : i32
      %77 = arith.extsi %75 : i32 to i64
      %76 = arith.subi %74, %77 : i64
      %78 = llvm.getelementptr %5[%76] : (!llvm.ptr, i64) -> !llvm.ptr, i8
      %73 = llvm.load %78 : !llvm.ptr -> i8
      %79 = arith.extsi %73 : i8 to i32
      %80 = llvm.load %44 : !llvm.ptr -> i32
      %81 = arith.cmpi eq, %79, %80 : i32
      cf.cond_br %81, ^bb9, ^bb10
      ^bb9:
        %83 = llvm.load %21 : !llvm.ptr -> i64
        %84 = arith.constant 1 : i32
        %86 = arith.extsi %84 : i32 to i64
        %85 = arith.subi %83, %86 : i64
        %87 = llvm.getelementptr %8[%85] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %82 = llvm.load %87 : !llvm.ptr -> i64
        %88 = arith.addi %82, %60 : i64
        %89 = llvm.load %21 : !llvm.ptr -> i64
        %90 = arith.constant 1 : i32
        %92 = arith.extsi %90 : i32 to i64
        %91 = arith.subi %89, %92 : i64
        %93 = llvm.getelementptr %8[%91] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        llvm.store %88, %93 : i64, !llvm.ptr
        cf.br ^bb11
      ^bb10:
        %94 = llvm.load %44 : !llvm.ptr -> i32
        %95 = arith.trunci %94 : i32 to i8
        %96 = llvm.load %21 : !llvm.ptr -> i64
        %97 = llvm.getelementptr %5[%96] : (!llvm.ptr, i64) -> !llvm.ptr, i8
        llvm.store %95, %97 : i8, !llvm.ptr
        %98 = llvm.load %21 : !llvm.ptr -> i64
        %99 = llvm.getelementptr %8[%98] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        llvm.store %60, %99 : i64, !llvm.ptr
        %100 = llvm.load %21 : !llvm.ptr -> i64
        %101 = arith.constant 1 : i32
        %103 = arith.extsi %101 : i32 to i64
        %102 = arith.addi %100, %103 : i64
        llvm.store %102, %21 : i64, !llvm.ptr
        cf.br ^bb11
      ^bb11:
      cf.br ^bb12
      ^bb12:
      %104 = llvm.load %21 : !llvm.ptr -> i64
      %105 = arith.constant 2 : i32
      %107 = arith.extsi %105 : i32 to i64
      %106 = arith.cmpi sge, %104, %107 : i64
      %108 = scf.if %106 -> (i1) {
        %110 = llvm.load %21 : !llvm.ptr -> i64
        %111 = arith.constant 1 : i32
        %113 = arith.extsi %111 : i32 to i64
        %112 = arith.subi %110, %113 : i64
        %114 = llvm.getelementptr %8[%112] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %109 = llvm.load %114 : !llvm.ptr -> i64
        %116 = llvm.load %21 : !llvm.ptr -> i64
        %117 = arith.constant 2 : i32
        %119 = arith.extsi %117 : i32 to i64
        %118 = arith.subi %116, %119 : i64
        %120 = llvm.getelementptr %8[%118] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %115 = llvm.load %120 : !llvm.ptr -> i64
        %121 = arith.cmpi sge, %109, %115 : i64
        scf.yield %121 : i1
      } else {
        %122 = arith.constant false
        scf.yield %122 : i1
      }
      cf.cond_br %108, ^bb13, ^bb14
      ^bb13:
        %124 = llvm.load %21 : !llvm.ptr -> i64
        %125 = arith.constant 2 : i32
        %127 = arith.extsi %125 : i32 to i64
        %126 = arith.subi %124, %127 : i64
        %128 = llvm.getelementptr %8[%126] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %123 = llvm.load %128 : !llvm.ptr -> i64
        %129 = llvm.load %37 : !llvm.ptr -> i64
        %130 = arith.muli %123, %123 : i64
        %131 = arith.addi %129, %130 : i64
        llvm.store %131, %37 : i64, !llvm.ptr
        %133 = llvm.load %21 : !llvm.ptr -> i64
        %134 = arith.constant 1 : i32
        %136 = arith.extsi %134 : i32 to i64
        %135 = arith.subi %133, %136 : i64
        %137 = llvm.getelementptr %5[%135] : (!llvm.ptr, i64) -> !llvm.ptr, i8
        %132 = llvm.load %137 : !llvm.ptr -> i8
        %138 = arith.extsi %132 : i8 to i32
        %140 = llvm.load %21 : !llvm.ptr -> i64
        %141 = arith.constant 1 : i32
        %143 = arith.extsi %141 : i32 to i64
        %142 = arith.subi %140, %143 : i64
        %144 = llvm.getelementptr %8[%142] : (!llvm.ptr, i64) -> !llvm.ptr, i64
        %139 = llvm.load %144 : !llvm.ptr -> i64
        %145 = arith.subi %139, %123 : i64
        %146 = llvm.load %21 : !llvm.ptr -> i64
        %147 = arith.constant 2 : i32
        %149 = arith.extsi %147 : i32 to i64
        %148 = arith.subi %146, %149 : i64
        llvm.store %148, %21 : i64, !llvm.ptr
        %150 = arith.constant 0 : i32
        %152 = arith.extsi %150 : i32 to i64
        %151 = arith.cmpi sgt, %145, %152 : i64
        cf.cond_br %151, ^bb15, ^bb16
        ^bb15:
          %154 = llvm.load %21 : !llvm.ptr -> i64
          %155 = arith.constant 1 : i32
          %157 = arith.extsi %155 : i32 to i64
          %156 = arith.subi %154, %157 : i64
          %158 = llvm.getelementptr %5[%156] : (!llvm.ptr, i64) -> !llvm.ptr, i8
          %153 = llvm.load %158 : !llvm.ptr -> i8
          %159 = arith.extsi %153 : i8 to i32
          %160 = arith.cmpi eq, %159, %138 : i32
          cf.cond_br %160, ^bb18, ^bb19
          ^bb18:
            %162 = llvm.load %21 : !llvm.ptr -> i64
            %163 = arith.constant 1 : i32
            %165 = arith.extsi %163 : i32 to i64
            %164 = arith.subi %162, %165 : i64
            %166 = llvm.getelementptr %8[%164] : (!llvm.ptr, i64) -> !llvm.ptr, i64
            %161 = llvm.load %166 : !llvm.ptr -> i64
            %167 = arith.addi %161, %145 : i64
            %168 = llvm.load %21 : !llvm.ptr -> i64
            %169 = arith.constant 1 : i32
            %171 = arith.extsi %169 : i32 to i64
            %170 = arith.subi %168, %171 : i64
            %172 = llvm.getelementptr %8[%170] : (!llvm.ptr, i64) -> !llvm.ptr, i64
            llvm.store %167, %172 : i64, !llvm.ptr
            cf.br ^bb20
          ^bb19:
            %173 = arith.trunci %138 : i32 to i8
            %174 = llvm.load %21 : !llvm.ptr -> i64
            %175 = llvm.getelementptr %5[%174] : (!llvm.ptr, i64) -> !llvm.ptr, i8
            llvm.store %173, %175 : i8, !llvm.ptr
            %176 = llvm.load %21 : !llvm.ptr -> i64
            %177 = llvm.getelementptr %8[%176] : (!llvm.ptr, i64) -> !llvm.ptr, i64
            llvm.store %145, %177 : i64, !llvm.ptr
            %178 = llvm.load %21 : !llvm.ptr -> i64
            %179 = arith.constant 1 : i32
            %181 = arith.extsi %179 : i32 to i64
            %180 = arith.addi %178, %181 : i64
            llvm.store %180, %21 : i64, !llvm.ptr
            cf.br ^bb20
          ^bb20:
          cf.br ^bb17
        ^bb16:
          cf.br ^bb17
        ^bb17:
        cf.br ^bb12
      ^bb14:
      %182 = arith.constant 1 : i32
      %183 = llvm.load %44 : !llvm.ptr -> i32
      %184 = arith.subi %182, %183 : i32
      llvm.store %184, %44 : i32, !llvm.ptr
      %185 = llvm.load %52 : !llvm.ptr -> i64
      %186 = arith.constant 1 : i32
      %188 = arith.extsi %186 : i32 to i64
      %187 = arith.addi %185, %188 : i64
      llvm.store %187, %52 : i64, !llvm.ptr
      cf.br ^bb3
    ^bb5:
    %189 = llvm.load %41 : !llvm.ptr -> i64
    %190 = arith.constant 100 : i32
    %192 = arith.extsi %190 : i32 to i64
    %191 = arith.addi %189, %192 : i64
    %194 = llvm.load %21 : !llvm.ptr -> i64
    %195 = arith.constant 1 : i32
    %197 = arith.extsi %195 : i32 to i64
    %196 = arith.subi %194, %197 : i64
    %198 = llvm.getelementptr %5[%196] : (!llvm.ptr, i64) -> !llvm.ptr, i8
    %193 = llvm.load %198 : !llvm.ptr -> i8
    %199 = arith.extsi %193 : i8 to i32
    %200 = arith.constant 0 : i32
    %201 = arith.cmpi eq, %199, %200 : i32
    cf.cond_br %201, ^bb21, ^bb22
    ^bb21:
      %203 = llvm.load %21 : !llvm.ptr -> i64
      %204 = arith.constant 1 : i32
      %206 = arith.extsi %204 : i32 to i64
      %205 = arith.subi %203, %206 : i64
      %207 = llvm.getelementptr %8[%205] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %202 = llvm.load %207 : !llvm.ptr -> i64
      %208 = arith.addi %202, %191 : i64
      %209 = llvm.load %21 : !llvm.ptr -> i64
      %210 = arith.constant 1 : i32
      %212 = arith.extsi %210 : i32 to i64
      %211 = arith.subi %209, %212 : i64
      %213 = llvm.getelementptr %8[%211] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %208, %213 : i64, !llvm.ptr
      cf.br ^bb23
    ^bb22:
      %214 = arith.constant 0 : i32
      %215 = llvm.load %21 : !llvm.ptr -> i64
      %216 = arith.trunci %214 : i32 to i8
      %217 = llvm.getelementptr %5[%215] : (!llvm.ptr, i64) -> !llvm.ptr, i8
      llvm.store %216, %217 : i8, !llvm.ptr
      %218 = llvm.load %21 : !llvm.ptr -> i64
      %219 = llvm.getelementptr %8[%218] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %191, %219 : i64, !llvm.ptr
      %220 = llvm.load %21 : !llvm.ptr -> i64
      %221 = arith.constant 1 : i32
      %223 = arith.extsi %221 : i32 to i64
      %222 = arith.addi %220, %223 : i64
      llvm.store %222, %21 : i64, !llvm.ptr
      cf.br ^bb23
    ^bb23:
    cf.br ^bb24
    ^bb24:
    %224 = llvm.load %21 : !llvm.ptr -> i64
    %225 = arith.constant 2 : i32
    %227 = arith.extsi %225 : i32 to i64
    %226 = arith.cmpi sge, %224, %227 : i64
    %228 = scf.if %226 -> (i1) {
      %230 = llvm.load %21 : !llvm.ptr -> i64
      %231 = arith.constant 1 : i32
      %233 = arith.extsi %231 : i32 to i64
      %232 = arith.subi %230, %233 : i64
      %234 = llvm.getelementptr %8[%232] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %229 = llvm.load %234 : !llvm.ptr -> i64
      %236 = llvm.load %21 : !llvm.ptr -> i64
      %237 = arith.constant 2 : i32
      %239 = arith.extsi %237 : i32 to i64
      %238 = arith.subi %236, %239 : i64
      %240 = llvm.getelementptr %8[%238] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %235 = llvm.load %240 : !llvm.ptr -> i64
      %241 = arith.cmpi sge, %229, %235 : i64
      scf.yield %241 : i1
    } else {
      %242 = arith.constant false
      scf.yield %242 : i1
    }
    cf.cond_br %228, ^bb25, ^bb26
    ^bb25:
      %244 = llvm.load %21 : !llvm.ptr -> i64
      %245 = arith.constant 2 : i32
      %247 = arith.extsi %245 : i32 to i64
      %246 = arith.subi %244, %247 : i64
      %248 = llvm.getelementptr %8[%246] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %243 = llvm.load %248 : !llvm.ptr -> i64
      %249 = llvm.load %37 : !llvm.ptr -> i64
      %250 = arith.muli %243, %243 : i64
      %251 = arith.addi %249, %250 : i64
      llvm.store %251, %37 : i64, !llvm.ptr
      %253 = llvm.load %21 : !llvm.ptr -> i64
      %254 = arith.constant 1 : i32
      %256 = arith.extsi %254 : i32 to i64
      %255 = arith.subi %253, %256 : i64
      %257 = llvm.getelementptr %5[%255] : (!llvm.ptr, i64) -> !llvm.ptr, i8
      %252 = llvm.load %257 : !llvm.ptr -> i8
      %258 = arith.extsi %252 : i8 to i32
      %260 = llvm.load %21 : !llvm.ptr -> i64
      %261 = arith.constant 1 : i32
      %263 = arith.extsi %261 : i32 to i64
      %262 = arith.subi %260, %263 : i64
      %264 = llvm.getelementptr %8[%262] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %259 = llvm.load %264 : !llvm.ptr -> i64
      %265 = arith.subi %259, %243 : i64
      %266 = llvm.load %21 : !llvm.ptr -> i64
      %267 = arith.constant 2 : i32
      %269 = arith.extsi %267 : i32 to i64
      %268 = arith.subi %266, %269 : i64
      llvm.store %268, %21 : i64, !llvm.ptr
      %270 = arith.constant 0 : i32
      %272 = arith.extsi %270 : i32 to i64
      %271 = arith.cmpi sgt, %265, %272 : i64
      cf.cond_br %271, ^bb27, ^bb28
      ^bb27:
        %274 = llvm.load %21 : !llvm.ptr -> i64
        %275 = arith.constant 1 : i32
        %277 = arith.extsi %275 : i32 to i64
        %276 = arith.subi %274, %277 : i64
        %278 = llvm.getelementptr %5[%276] : (!llvm.ptr, i64) -> !llvm.ptr, i8
        %273 = llvm.load %278 : !llvm.ptr -> i8
        %279 = arith.extsi %273 : i8 to i32
        %280 = arith.cmpi eq, %279, %258 : i32
        cf.cond_br %280, ^bb30, ^bb31
        ^bb30:
          %282 = llvm.load %21 : !llvm.ptr -> i64
          %283 = arith.constant 1 : i32
          %285 = arith.extsi %283 : i32 to i64
          %284 = arith.subi %282, %285 : i64
          %286 = llvm.getelementptr %8[%284] : (!llvm.ptr, i64) -> !llvm.ptr, i64
          %281 = llvm.load %286 : !llvm.ptr -> i64
          %287 = arith.addi %281, %265 : i64
          %288 = llvm.load %21 : !llvm.ptr -> i64
          %289 = arith.constant 1 : i32
          %291 = arith.extsi %289 : i32 to i64
          %290 = arith.subi %288, %291 : i64
          %292 = llvm.getelementptr %8[%290] : (!llvm.ptr, i64) -> !llvm.ptr, i64
          llvm.store %287, %292 : i64, !llvm.ptr
          cf.br ^bb32
        ^bb31:
          %293 = arith.trunci %258 : i32 to i8
          %294 = llvm.load %21 : !llvm.ptr -> i64
          %295 = llvm.getelementptr %5[%294] : (!llvm.ptr, i64) -> !llvm.ptr, i8
          llvm.store %293, %295 : i8, !llvm.ptr
          %296 = llvm.load %21 : !llvm.ptr -> i64
          %297 = llvm.getelementptr %8[%296] : (!llvm.ptr, i64) -> !llvm.ptr, i64
          llvm.store %265, %297 : i64, !llvm.ptr
          %298 = llvm.load %21 : !llvm.ptr -> i64
          %299 = arith.constant 1 : i32
          %301 = arith.extsi %299 : i32 to i64
          %300 = arith.addi %298, %301 : i64
          llvm.store %300, %21 : i64, !llvm.ptr
          cf.br ^bb32
        ^bb32:
        cf.br ^bb29
      ^bb28:
        cf.br ^bb29
      ^bb29:
      cf.br ^bb24
    ^bb26:
    %302 = llvm.mlir.addressof @str_0 : !llvm.ptr
    %303 = llvm.load %37 : !llvm.ptr -> i64
    %304 = llvm.call @printf(%302, %303) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
    func.call @free(%8) : (!llvm.ptr) -> ()
    func.call @free(%5) : (!llvm.ptr) -> ()
    %307 = arith.constant 0 : i32
    func.return %307 : i32
  }
}