Problem 209

Circular Logic: count truth assignments via cycle Lucas numbers.

Answer15964587728784
Output15964587728784
StatusPASS
Native helperno
Runtime0 ms
Peak memory1088 KB
Time complexityO(n^2) (estimated)
Space complexityO(n^2) (estimated)

Performance comparison

MetricOur solutionBest known
Time complexityO(n^2)O(n)
Space complexityO(n^2)O(n)
ApproachFlow solutionCycle decomposition
VerdictSuboptimal

Flow source

# Project Euler 209
# Circular Logic: count truth assignments via cycle Lucas numbers.

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

function main() -> i32 {
    let N: i32 = 64
    let conn: ptr<i32> = calloc(N as i64, 4)
    let used: ptr<i8> = calloc(N as i64, 1)
    let lucas: ptr<i64> = calloc(N as i64 + 1, 8)
    if conn == null || used == null || lucas == null { return 1 }

    let mut from_state: i32 = 0
    while from_state < N {
        let mut left: ptr<i32> = calloc(6, 4)
        let mut i: i32 = 0
        while i < 6 {
            left[i] = (from_state >> i) & 1
            i = i + 1
        }
        let mut right0: i32 = left[1]
        let mut right1: i32 = left[2]
        let mut right2: i32 = left[3]
        let mut right3: i32 = left[4]
        let mut right4: i32 = left[5]
        let mut right5: i32 = left[0] ^ (left[1] & left[2])
        let mut to_state: i32 = 0
        to_state = to_state | (right0 << 0)
        to_state = to_state | (right1 << 1)
        to_state = to_state | (right2 << 2)
        to_state = to_state | (right3 << 3)
        to_state = to_state | (right4 << 4)
        to_state = to_state | (right5 << 5)
        conn[from_state] = to_state
        free(left)
        from_state = from_state + 1
    }

    lucas[0] = 2
    lucas[1] = 1
    let mut i: i32 = 2
    while i <= N {
        lucas[i] = lucas[i - 2] + lucas[i - 1]
        i = i + 1
    }

    let mut result: i64 = 1
    let mut all_used: bool = false
    while !all_used {
        let mut start: i32 = 0
        while start < N && used[start] == 1 {
            start = start + 1
        }
        if start >= N {
            all_used = true
            continue
        }
        let mut current: i32 = start
        let mut cycle_len: i32 = 0
        while true {
            used[current] = 1
            cycle_len = cycle_len + 1
            current = conn[current]
            if current == start { break }
        }
        result = result * lucas[cycle_len]
    }
    printf("%lld\n", result)
    free(conn); free(used); free(lucas)
    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) {
    int32_t N = 64;
    int32_t* conn = (int32_t*)(calloc(((int64_t)(N)), 4));
    int8_t* used = (int8_t*)(calloc(((int64_t)(N)), 1));
    int64_t* lucas = (int64_t*)(calloc((((int64_t)(N)) + 1), 8));
    if (((conn == NULL || used == NULL) || lucas == NULL)) {
        return 1;
    }
    int32_t from_state = 0;
    while (from_state < N) {
        int32_t* left = (int32_t*)(calloc(6, 4));
        int32_t i = 0;
        while (i < 6) {
            left[i] = (FLOW_CHECKED_SHR((from_state), (i)) & 1);
            i = (i + 1);
        }
        int32_t right0 = left[1];
        int32_t right1 = left[2];
        int32_t right2 = left[3];
        int32_t right3 = left[4];
        int32_t right4 = left[5];
        int32_t right5 = (left[0] ^ (left[1] & left[2]));
        int32_t to_state = 0;
        to_state = (to_state | FLOW_CHECKED_SHL((right0), (0)));
        to_state = (to_state | FLOW_CHECKED_SHL((right1), (1)));
        to_state = (to_state | FLOW_CHECKED_SHL((right2), (2)));
        to_state = (to_state | FLOW_CHECKED_SHL((right3), (3)));
        to_state = (to_state | FLOW_CHECKED_SHL((right4), (4)));
        to_state = (to_state | FLOW_CHECKED_SHL((right5), (5)));
        conn[from_state] = to_state;
        free(left);
        from_state = (from_state + 1);
    }
    lucas[0] = 2;
    lucas[1] = 1;
    int32_t i = 2;
    while (i <= N) {
        lucas[i] = (lucas[(i - 2)] + lucas[(i - 1)]);
        i = (i + 1);
    }
    int64_t result = 1;
    bool all_used = 0;
    while ((!(all_used))) {
        int32_t start = 0;
        while ((start < N && used[start] == 1)) {
            start = (start + 1);
        }
        if (start >= N) {
            all_used = 1;
            continue;
        }
        int32_t current = start;
        int32_t cycle_len = 0;
        while (1) {
            used[current] = 1;
            cycle_len = (cycle_len + 1);
            current = conn[current];
            if (current == start) {
                break;
            }
        }
        result = (result * lucas[cycle_len]);
    }
    printf("%lld\n", result);
    free(conn);
    free(used);
    free(lucas);
    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 64 : i32
    %2 = arith.extsi %0 : i32 to i64
    %3 = arith.constant 4 : i32
    %4 = arith.extsi %3 : i32 to i64
    %1 = func.call @calloc(%2, %4) : (i64, i64) -> !llvm.ptr
    %6 = arith.extsi %0 : i32 to i64
    %7 = arith.constant 1 : i32
    %8 = arith.extsi %7 : i32 to i64
    %5 = func.call @calloc(%6, %8) : (i64, i64) -> !llvm.ptr
    %10 = arith.extsi %0 : i32 to i64
    %11 = arith.constant 1 : i32
    %13 = arith.extsi %11 : i32 to i64
    %12 = arith.addi %10, %13 : i64
    %14 = arith.constant 8 : i32
    %15 = arith.extsi %14 : i32 to i64
    %9 = func.call @calloc(%12, %15) : (i64, i64) -> !llvm.ptr
    %16 = llvm.mlir.zero : !llvm.ptr
    %17 = llvm.icmp "eq" %1, %16 : !llvm.ptr
    %18 = scf.if %17 -> (i1) {
      %19 = arith.constant true
      scf.yield %19 : i1
    } else {
      %20 = llvm.mlir.zero : !llvm.ptr
      %21 = llvm.icmp "eq" %5, %20 : !llvm.ptr
      scf.yield %21 : i1
    }
    %22 = scf.if %18 -> (i1) {
      %23 = arith.constant true
      scf.yield %23 : i1
    } else {
      %24 = llvm.mlir.zero : !llvm.ptr
      %25 = llvm.icmp "eq" %9, %24 : !llvm.ptr
      scf.yield %25 : i1
    }
    cf.cond_br %22, ^bb0, ^bb1
    ^bb0:
      %26 = arith.constant 1 : i32
      func.return %26 : i32
    ^bb1:
      cf.br ^bb2
    ^bb2:
    %27 = arith.constant 0 : i32
    %28 = llvm.mlir.constant(1 : i64) : i64
    %29 = llvm.alloca %28 x i32 : (i64) -> !llvm.ptr
    llvm.store %27, %29 : i32, !llvm.ptr
    cf.br ^bb3
    ^bb3:
    %30 = llvm.load %29 : !llvm.ptr -> i32
    %31 = arith.cmpi slt, %30, %0 : i32
    cf.cond_br %31, ^bb4, ^bb5
    ^bb4:
      %33 = arith.constant 6 : i32
      %34 = arith.constant 4 : i32
      %35 = arith.extsi %33 : i32 to i64
      %36 = arith.extsi %34 : i32 to i64
      %32 = func.call @calloc(%35, %36) : (i64, i64) -> !llvm.ptr
      %37 = llvm.mlir.constant(1 : i64) : i64
      %38 = llvm.alloca %37 x !llvm.ptr : (i64) -> !llvm.ptr
      llvm.store %32, %38 : !llvm.ptr, !llvm.ptr
      %39 = arith.constant 0 : i32
      %40 = llvm.mlir.constant(1 : i64) : i64
      %41 = llvm.alloca %40 x i32 : (i64) -> !llvm.ptr
      llvm.store %39, %41 : i32, !llvm.ptr
      cf.br ^bb6
      ^bb6:
      %42 = llvm.load %41 : !llvm.ptr -> i32
      %43 = arith.constant 6 : i32
      %44 = arith.cmpi slt, %42, %43 : i32
      cf.cond_br %44, ^bb7, ^bb8
      ^bb7:
        %45 = llvm.load %29 : !llvm.ptr -> i32
        %46 = llvm.load %41 : !llvm.ptr -> i32
        %47 = arith.shrsi %45, %46 : i32
        %48 = arith.constant 1 : i32
        %49 = arith.andi %47, %48 : i32
        %50 = llvm.load %38 : !llvm.ptr -> !llvm.ptr
        %51 = llvm.load %41 : !llvm.ptr -> i32
        %52 = arith.extsi %51 : i32 to i64
        %53 = llvm.getelementptr %50[%52] : (!llvm.ptr, i64) -> !llvm.ptr, i32
        llvm.store %49, %53 : i32, !llvm.ptr
        %54 = llvm.load %41 : !llvm.ptr -> i32
        %55 = arith.constant 1 : i32
        %56 = arith.addi %54, %55 : i32
        llvm.store %56, %41 : i32, !llvm.ptr
        cf.br ^bb6
      ^bb8:
      %58 = llvm.load %38 : !llvm.ptr -> !llvm.ptr
      %59 = arith.constant 1 : i32
      %60 = arith.extsi %59 : i32 to i64
      %61 = llvm.getelementptr %58[%60] : (!llvm.ptr, i64) -> !llvm.ptr, i32
      %57 = llvm.load %61 : !llvm.ptr -> i32
      %62 = llvm.mlir.constant(1 : i64) : i64
      %63 = llvm.alloca %62 x i32 : (i64) -> !llvm.ptr
      llvm.store %57, %63 : i32, !llvm.ptr
      %65 = llvm.load %38 : !llvm.ptr -> !llvm.ptr
      %66 = arith.constant 2 : i32
      %67 = arith.extsi %66 : i32 to i64
      %68 = llvm.getelementptr %65[%67] : (!llvm.ptr, i64) -> !llvm.ptr, i32
      %64 = llvm.load %68 : !llvm.ptr -> i32
      %69 = llvm.mlir.constant(1 : i64) : i64
      %70 = llvm.alloca %69 x i32 : (i64) -> !llvm.ptr
      llvm.store %64, %70 : i32, !llvm.ptr
      %72 = llvm.load %38 : !llvm.ptr -> !llvm.ptr
      %73 = arith.constant 3 : i32
      %74 = arith.extsi %73 : i32 to i64
      %75 = llvm.getelementptr %72[%74] : (!llvm.ptr, i64) -> !llvm.ptr, i32
      %71 = llvm.load %75 : !llvm.ptr -> i32
      %76 = llvm.mlir.constant(1 : i64) : i64
      %77 = llvm.alloca %76 x i32 : (i64) -> !llvm.ptr
      llvm.store %71, %77 : i32, !llvm.ptr
      %79 = llvm.load %38 : !llvm.ptr -> !llvm.ptr
      %80 = arith.constant 4 : i32
      %81 = arith.extsi %80 : i32 to i64
      %82 = llvm.getelementptr %79[%81] : (!llvm.ptr, i64) -> !llvm.ptr, i32
      %78 = llvm.load %82 : !llvm.ptr -> i32
      %83 = llvm.mlir.constant(1 : i64) : i64
      %84 = llvm.alloca %83 x i32 : (i64) -> !llvm.ptr
      llvm.store %78, %84 : i32, !llvm.ptr
      %86 = llvm.load %38 : !llvm.ptr -> !llvm.ptr
      %87 = arith.constant 5 : i32
      %88 = arith.extsi %87 : i32 to i64
      %89 = llvm.getelementptr %86[%88] : (!llvm.ptr, i64) -> !llvm.ptr, i32
      %85 = llvm.load %89 : !llvm.ptr -> i32
      %90 = llvm.mlir.constant(1 : i64) : i64
      %91 = llvm.alloca %90 x i32 : (i64) -> !llvm.ptr
      llvm.store %85, %91 : i32, !llvm.ptr
      %93 = llvm.load %38 : !llvm.ptr -> !llvm.ptr
      %94 = arith.constant 0 : i32
      %95 = arith.extsi %94 : i32 to i64
      %96 = llvm.getelementptr %93[%95] : (!llvm.ptr, i64) -> !llvm.ptr, i32
      %92 = llvm.load %96 : !llvm.ptr -> i32
      %98 = llvm.load %38 : !llvm.ptr -> !llvm.ptr
      %99 = arith.constant 1 : i32
      %100 = arith.extsi %99 : i32 to i64
      %101 = llvm.getelementptr %98[%100] : (!llvm.ptr, i64) -> !llvm.ptr, i32
      %97 = llvm.load %101 : !llvm.ptr -> i32
      %103 = llvm.load %38 : !llvm.ptr -> !llvm.ptr
      %104 = arith.constant 2 : i32
      %105 = arith.extsi %104 : i32 to i64
      %106 = llvm.getelementptr %103[%105] : (!llvm.ptr, i64) -> !llvm.ptr, i32
      %102 = llvm.load %106 : !llvm.ptr -> i32
      %107 = arith.andi %97, %102 : i32
      %108 = arith.xori %92, %107 : i32
      %109 = llvm.mlir.constant(1 : i64) : i64
      %110 = llvm.alloca %109 x i32 : (i64) -> !llvm.ptr
      llvm.store %108, %110 : i32, !llvm.ptr
      %111 = arith.constant 0 : i32
      %112 = llvm.mlir.constant(1 : i64) : i64
      %113 = llvm.alloca %112 x i32 : (i64) -> !llvm.ptr
      llvm.store %111, %113 : i32, !llvm.ptr
      %114 = llvm.load %113 : !llvm.ptr -> i32
      %115 = llvm.load %63 : !llvm.ptr -> i32
      %116 = arith.constant 0 : i32
      %117 = arith.shli %115, %116 : i32
      %118 = arith.ori %114, %117 : i32
      llvm.store %118, %113 : i32, !llvm.ptr
      %119 = llvm.load %113 : !llvm.ptr -> i32
      %120 = llvm.load %70 : !llvm.ptr -> i32
      %121 = arith.constant 1 : i32
      %122 = arith.shli %120, %121 : i32
      %123 = arith.ori %119, %122 : i32
      llvm.store %123, %113 : i32, !llvm.ptr
      %124 = llvm.load %113 : !llvm.ptr -> i32
      %125 = llvm.load %77 : !llvm.ptr -> i32
      %126 = arith.constant 2 : i32
      %127 = arith.shli %125, %126 : i32
      %128 = arith.ori %124, %127 : i32
      llvm.store %128, %113 : i32, !llvm.ptr
      %129 = llvm.load %113 : !llvm.ptr -> i32
      %130 = llvm.load %84 : !llvm.ptr -> i32
      %131 = arith.constant 3 : i32
      %132 = arith.shli %130, %131 : i32
      %133 = arith.ori %129, %132 : i32
      llvm.store %133, %113 : i32, !llvm.ptr
      %134 = llvm.load %113 : !llvm.ptr -> i32
      %135 = llvm.load %91 : !llvm.ptr -> i32
      %136 = arith.constant 4 : i32
      %137 = arith.shli %135, %136 : i32
      %138 = arith.ori %134, %137 : i32
      llvm.store %138, %113 : i32, !llvm.ptr
      %139 = llvm.load %113 : !llvm.ptr -> i32
      %140 = llvm.load %110 : !llvm.ptr -> i32
      %141 = arith.constant 5 : i32
      %142 = arith.shli %140, %141 : i32
      %143 = arith.ori %139, %142 : i32
      llvm.store %143, %113 : i32, !llvm.ptr
      %144 = llvm.load %113 : !llvm.ptr -> i32
      %145 = llvm.load %29 : !llvm.ptr -> i32
      %146 = arith.extsi %145 : i32 to i64
      %147 = llvm.getelementptr %1[%146] : (!llvm.ptr, i64) -> !llvm.ptr, i32
      llvm.store %144, %147 : i32, !llvm.ptr
      %149 = llvm.load %38 : !llvm.ptr -> !llvm.ptr
      func.call @free(%149) : (!llvm.ptr) -> ()
      %150 = llvm.load %29 : !llvm.ptr -> i32
      %151 = arith.constant 1 : i32
      %152 = arith.addi %150, %151 : i32
      llvm.store %152, %29 : i32, !llvm.ptr
      cf.br ^bb3
    ^bb5:
    %153 = arith.constant 2 : i32
    %154 = arith.constant 0 : i32
    %155 = arith.extsi %153 : i32 to i64
    %156 = arith.extsi %154 : i32 to i64
    %157 = llvm.getelementptr %9[%156] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %155, %157 : i64, !llvm.ptr
    %158 = arith.constant 1 : i32
    %159 = arith.constant 1 : i32
    %160 = arith.extsi %158 : i32 to i64
    %161 = arith.extsi %159 : i32 to i64
    %162 = llvm.getelementptr %9[%161] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %160, %162 : i64, !llvm.ptr
    %163 = arith.constant 2 : i32
    %164 = llvm.mlir.constant(1 : i64) : i64
    %165 = llvm.alloca %164 x i32 : (i64) -> !llvm.ptr
    llvm.store %163, %165 : i32, !llvm.ptr
    cf.br ^bb9
    ^bb9:
    %166 = llvm.load %165 : !llvm.ptr -> i32
    %167 = arith.cmpi sle, %166, %0 : i32
    cf.cond_br %167, ^bb10, ^bb11
    ^bb10:
      %169 = llvm.load %165 : !llvm.ptr -> i32
      %170 = arith.constant 2 : i32
      %171 = arith.subi %169, %170 : i32
      %172 = arith.extsi %171 : i32 to i64
      %173 = llvm.getelementptr %9[%172] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %168 = llvm.load %173 : !llvm.ptr -> i64
      %175 = llvm.load %165 : !llvm.ptr -> i32
      %176 = arith.constant 1 : i32
      %177 = arith.subi %175, %176 : i32
      %178 = arith.extsi %177 : i32 to i64
      %179 = llvm.getelementptr %9[%178] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %174 = llvm.load %179 : !llvm.ptr -> i64
      %180 = arith.addi %168, %174 : i64
      %181 = llvm.load %165 : !llvm.ptr -> i32
      %182 = arith.extsi %181 : i32 to i64
      %183 = llvm.getelementptr %9[%182] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      llvm.store %180, %183 : i64, !llvm.ptr
      %184 = llvm.load %165 : !llvm.ptr -> i32
      %185 = arith.constant 1 : i32
      %186 = arith.addi %184, %185 : i32
      llvm.store %186, %165 : i32, !llvm.ptr
      cf.br ^bb9
    ^bb11:
    %187 = arith.constant 1 : i32
    %188 = arith.extsi %187 : i32 to i64
    %189 = llvm.mlir.constant(1 : i64) : i64
    %190 = llvm.alloca %189 x i64 : (i64) -> !llvm.ptr
    llvm.store %188, %190 : i64, !llvm.ptr
    %191 = arith.constant 0 : i1
    %192 = llvm.mlir.constant(1 : i64) : i64
    %193 = llvm.alloca %192 x i1 : (i64) -> !llvm.ptr
    llvm.store %191, %193 : i1, !llvm.ptr
    cf.br ^bb12
    ^bb12:
    %194 = llvm.load %193 : !llvm.ptr -> i1
    %196 = arith.constant 1 : i1
    %195 = arith.xori %194, %196 : i1
    cf.cond_br %195, ^bb13, ^bb14
    ^bb13:
      %198 = arith.constant 0 : i32
      %199 = llvm.mlir.constant(1 : i64) : i64
      %200 = llvm.alloca %199 x i32 : (i64) -> !llvm.ptr
      llvm.store %198, %200 : i32, !llvm.ptr
      cf.br ^bb15
      ^bb15:
      %201 = llvm.load %200 : !llvm.ptr -> i32
      %202 = arith.cmpi slt, %201, %0 : i32
      %203 = scf.if %202 -> (i1) {
        %205 = llvm.load %200 : !llvm.ptr -> i32
        %206 = arith.extsi %205 : i32 to i64
        %207 = llvm.getelementptr %5[%206] : (!llvm.ptr, i64) -> !llvm.ptr, i8
        %204 = llvm.load %207 : !llvm.ptr -> i8
        %208 = arith.constant 1 : i32
        %210 = arith.extsi %204 : i8 to i32
        %209 = arith.cmpi eq, %210, %208 : i32
        scf.yield %209 : i1
      } else {
        %211 = arith.constant false
        scf.yield %211 : i1
      }
      cf.cond_br %203, ^bb16, ^bb17
      ^bb16:
        %212 = llvm.load %200 : !llvm.ptr -> i32
        %213 = arith.constant 1 : i32
        %214 = arith.addi %212, %213 : i32
        llvm.store %214, %200 : i32, !llvm.ptr
        cf.br ^bb15
      ^bb17:
      %215 = llvm.load %200 : !llvm.ptr -> i32
      %216 = arith.cmpi sge, %215, %0 : i32
      cf.cond_br %216, ^bb18, ^bb19
      ^bb18:
        %217 = arith.constant 1 : i1
        llvm.store %217, %193 : i1, !llvm.ptr
        cf.br ^bb12
      ^bb19:
        cf.br ^bb20
      ^bb20:
      %218 = llvm.load %200 : !llvm.ptr -> i32
      %219 = llvm.mlir.constant(1 : i64) : i64
      %220 = llvm.alloca %219 x i32 : (i64) -> !llvm.ptr
      llvm.store %218, %220 : i32, !llvm.ptr
      %221 = arith.constant 0 : i32
      %222 = llvm.mlir.constant(1 : i64) : i64
      %223 = llvm.alloca %222 x i32 : (i64) -> !llvm.ptr
      llvm.store %221, %223 : i32, !llvm.ptr
      cf.br ^bb21
      ^bb21:
      %224 = arith.constant 1 : i1
      cf.cond_br %224, ^bb22, ^bb23
      ^bb22:
        %225 = arith.constant 1 : i32
        %226 = llvm.load %220 : !llvm.ptr -> i32
        %227 = arith.trunci %225 : i32 to i8
        %228 = arith.extsi %226 : i32 to i64
        %229 = llvm.getelementptr %5[%228] : (!llvm.ptr, i64) -> !llvm.ptr, i8
        llvm.store %227, %229 : i8, !llvm.ptr
        %230 = llvm.load %223 : !llvm.ptr -> i32
        %231 = arith.constant 1 : i32
        %232 = arith.addi %230, %231 : i32
        llvm.store %232, %223 : i32, !llvm.ptr
        %234 = llvm.load %220 : !llvm.ptr -> i32
        %235 = arith.extsi %234 : i32 to i64
        %236 = llvm.getelementptr %1[%235] : (!llvm.ptr, i64) -> !llvm.ptr, i32
        %233 = llvm.load %236 : !llvm.ptr -> i32
        llvm.store %233, %220 : i32, !llvm.ptr
        %237 = llvm.load %220 : !llvm.ptr -> i32
        %238 = llvm.load %200 : !llvm.ptr -> i32
        %239 = arith.cmpi eq, %237, %238 : i32
        cf.cond_br %239, ^bb24, ^bb25
        ^bb24:
          cf.br ^bb23
        ^bb25:
          cf.br ^bb26
        ^bb26:
        cf.br ^bb21
      ^bb23:
      %240 = llvm.load %190 : !llvm.ptr -> i64
      %242 = llvm.load %223 : !llvm.ptr -> i32
      %243 = arith.extsi %242 : i32 to i64
      %244 = llvm.getelementptr %9[%243] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %241 = llvm.load %244 : !llvm.ptr -> i64
      %245 = arith.muli %240, %241 : i64
      llvm.store %245, %190 : i64, !llvm.ptr
      cf.br ^bb12
    ^bb14:
    %246 = llvm.mlir.addressof @str_0 : !llvm.ptr
    %247 = llvm.load %190 : !llvm.ptr -> i64
    %248 = llvm.call @printf(%246, %247) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
    func.call @free(%1) : (!llvm.ptr) -> ()
    func.call @free(%5) : (!llvm.ptr) -> ()
    func.call @free(%9) : (!llvm.ptr) -> ()
    %252 = arith.constant 0 : i32
    func.return %252 : i32
  }
}