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Problem 859
Cookie Game: count unordered pile partitions of 300 where Even wins. Each pile is a cold combinatorial game whose value g(n) is an integer. Even (Right) wins iff total value <= 0.
View problem on Project Euler
Performance comparison
Metric Our solution Best known
Time complexity O(n^3)O(n * m)
Space complexity O(n)O(n)
Approach Flow solution Dynamic programming or generating function
Verdict Unknown
Flow source
# Project Euler 859
# Cookie Game: count unordered pile partitions of 300 where Even wins.
# Each pile is a cold combinatorial game whose value g(n) is an integer.
# Even (Right) wins iff total value <= 0.
extern {
function calloc(n: i64, size: i64) -> ptr<void>
function free(p: ptr<void>) -> void
}
function main() -> i32 {
let n: i64 = 300
# g[k]: combinatorial game value of a single pile of size k.
let g: ptr<i64> = calloc(n + 1, 8)
g[0] = 0
let mut k: i64 = 1
while k <= n {
if (k & 1) != 0 {
# k = 2m + 1: Left moves to two piles of size m.
let m: i64 = k >> 1
let option: i64 = 2 * g[m]
if option < 0 {
g[k] = 0
} else {
g[k] = option + 1
}
} else {
# k = 2m: Right moves to two piles of size m - 1.
let m: i64 = k >> 1
let option: i64 = 2 * g[m - 1]
if option > 0 {
g[k] = 0
} else {
g[k] = option - 1
}
}
k = k + 1
}
# Value range for the full position: [-n/2, n].
let v_min: i64 = 0 - (n / 2)
let v_max: i64 = n
let width: i64 = v_max - v_min + 1
let offset: i64 = 0 - v_min
# dp[cookies * width + vi] = #partitions of `cookies` with total value
# mapped to index vi.
let dp: ptr<i64> = calloc((n + 1) * width, 8)
dp[offset] = 1
let mut size: i64 = 1
while size <= n {
let dv: i64 = g[size]
if dv >= 0 {
let d: i64 = dv
let mut cookies: i64 = size
while cookies <= n {
let src_base: i64 = (cookies - size) * width
let dst_base: i64 = cookies * width
let mut vi: i64 = d
while vi < width {
dp[dst_base + vi] = dp[dst_base + vi] + dp[src_base + vi - d]
vi = vi + 1
}
cookies = cookies + 1
}
} else {
let shift: i64 = 0 - dv
let limit: i64 = width - shift
let mut cookies: i64 = size
while cookies <= n {
let src_base: i64 = (cookies - size) * width
let dst_base: i64 = cookies * width
let mut vi: i64 = 0
while vi < limit {
dp[dst_base + vi] = dp[dst_base + vi] + dp[src_base + vi + shift]
vi = vi + 1
}
cookies = cookies + 1
}
}
size = size + 1
}
# Sum counts with total value <= 0 (indices 0..offset).
let mut total: i64 = 0
let row_base: i64 = n * width
let mut vi: i64 = 0
while vi <= offset {
total = total + dp[row_base + vi]
vi = vi + 1
}
printf("%lld\n", total)
free(g)
free(dp)
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 = 300;
int64_t* g = (int64_t*)(calloc((n + 1), 8));
g[0] = 0;
int64_t k = 1;
while (k <= n) {
if ((k & 1) != 0) {
int64_t m = FLOW_CHECKED_SHR((k), (1));
int64_t option = (2 * g[m]);
if (option < 0) {
g[k] = 0;
} else {
g[k] = (option + 1);
}
} else {
int64_t m = FLOW_CHECKED_SHR((k), (1));
int64_t option = (2 * g[(m - 1)]);
if (option > 0) {
g[k] = 0;
} else {
g[k] = (option - 1);
}
}
k = (k + 1);
}
int64_t v_min = (0 - FLOW_CHECKED_DIV((n), (2)));
int64_t v_max = n;
int64_t width = ((v_max - v_min) + 1);
int64_t offset = (0 - v_min);
int64_t* dp = (int64_t*)(calloc(((n + 1) * width), 8));
dp[offset] = 1;
int64_t size = 1;
while (size <= n) {
int64_t dv = g[size];
if (dv >= 0) {
int64_t d = dv;
int64_t cookies = size;
while (cookies <= n) {
int64_t src_base = ((cookies - size) * width);
int64_t dst_base = (cookies * width);
int64_t vi = d;
while (vi < width) {
dp[(dst_base + vi)] = (dp[(dst_base + vi)] + dp[((src_base + vi) - d)]);
vi = (vi + 1);
}
cookies = (cookies + 1);
}
} else {
int64_t shift = (0 - dv);
int64_t limit = (width - shift);
int64_t cookies = size;
while (cookies <= n) {
int64_t src_base = ((cookies - size) * width);
int64_t dst_base = (cookies * width);
int64_t vi = 0;
while (vi < limit) {
dp[(dst_base + vi)] = (dp[(dst_base + vi)] + dp[((src_base + vi) + shift)]);
vi = (vi + 1);
}
cookies = (cookies + 1);
}
}
size = (size + 1);
}
int64_t total = 0;
int64_t row_base = (n * width);
int64_t vi = 0;
while (vi <= offset) {
total = (total + dp[(row_base + vi)]);
vi = (vi + 1);
}
printf("%lld\n", total);
free(g);
free(dp);
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 300 : i32
%1 = arith.extsi %0 : i32 to i64
%3 = arith.constant 1 : i32
%5 = arith.extsi %3 : i32 to i64
%4 = arith.addi %1, %5 : i64
%6 = arith.constant 8 : i32
%7 = arith.extsi %6 : i32 to i64
%2 = func.call @calloc(%4, %7) : (i64, i64) -> !llvm.ptr
%8 = arith.constant 0 : i32
%9 = arith.constant 0 : i32
%10 = arith.extsi %8 : i32 to i64
%11 = arith.extsi %9 : i32 to i64
%12 = llvm.getelementptr %2[%11] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %10, %12 : i64, !llvm.ptr
%13 = arith.constant 1 : i32
%14 = arith.extsi %13 : i32 to i64
%15 = llvm.mlir.constant(1 : i64) : i64
%16 = llvm.alloca %15 x i64 : (i64) -> !llvm.ptr
llvm.store %14, %16 : i64, !llvm.ptr
cf.br ^bb0
^bb0:
%17 = llvm.load %16 : !llvm.ptr -> i64
%18 = arith.cmpi sle, %17, %1 : i64
cf.cond_br %18, ^bb1, ^bb2
^bb1:
%19 = llvm.load %16 : !llvm.ptr -> i64
%20 = arith.constant 1 : i32
%22 = arith.extsi %20 : i32 to i64
%21 = arith.andi %19, %22 : i64
%23 = arith.constant 0 : i32
%25 = arith.extsi %23 : i32 to i64
%24 = arith.cmpi ne, %21, %25 : i64
cf.cond_br %24, ^bb3, ^bb4
^bb3:
%26 = llvm.load %16 : !llvm.ptr -> i64
%27 = arith.constant 1 : i32
%29 = arith.extsi %27 : i32 to i64
%28 = arith.shrsi %26, %29 : i64
%30 = arith.constant 2 : i32
%32 = llvm.getelementptr %2[%28] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%31 = llvm.load %32 : !llvm.ptr -> i64
%34 = arith.extsi %30 : i32 to i64
%33 = arith.muli %34, %31 : i64
%35 = arith.constant 0 : i32
%37 = arith.extsi %35 : i32 to i64
%36 = arith.cmpi slt, %33, %37 : i64
cf.cond_br %36, ^bb6, ^bb7
^bb6:
%38 = arith.constant 0 : i32
%39 = llvm.load %16 : !llvm.ptr -> i64
%40 = arith.extsi %38 : i32 to i64
%41 = llvm.getelementptr %2[%39] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %40, %41 : i64, !llvm.ptr
cf.br ^bb8
^bb7:
%42 = arith.constant 1 : i32
%44 = arith.extsi %42 : i32 to i64
%43 = arith.addi %33, %44 : i64
%45 = llvm.load %16 : !llvm.ptr -> i64
%46 = llvm.getelementptr %2[%45] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %43, %46 : i64, !llvm.ptr
cf.br ^bb8
^bb8:
cf.br ^bb5
^bb4:
%47 = llvm.load %16 : !llvm.ptr -> i64
%48 = arith.constant 1 : i32
%50 = arith.extsi %48 : i32 to i64
%49 = arith.shrsi %47, %50 : i64
%51 = arith.constant 2 : i32
%53 = arith.constant 1 : i32
%55 = arith.extsi %53 : i32 to i64
%54 = arith.subi %49, %55 : i64
%56 = llvm.getelementptr %2[%54] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%52 = llvm.load %56 : !llvm.ptr -> i64
%58 = arith.extsi %51 : i32 to i64
%57 = arith.muli %58, %52 : i64
%59 = arith.constant 0 : i32
%61 = arith.extsi %59 : i32 to i64
%60 = arith.cmpi sgt, %57, %61 : i64
cf.cond_br %60, ^bb9, ^bb10
^bb9:
%62 = arith.constant 0 : i32
%63 = llvm.load %16 : !llvm.ptr -> i64
%64 = arith.extsi %62 : i32 to i64
%65 = llvm.getelementptr %2[%63] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %64, %65 : i64, !llvm.ptr
cf.br ^bb11
^bb10:
%66 = arith.constant 1 : i32
%68 = arith.extsi %66 : i32 to i64
%67 = arith.subi %57, %68 : i64
%69 = llvm.load %16 : !llvm.ptr -> i64
%70 = llvm.getelementptr %2[%69] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %67, %70 : i64, !llvm.ptr
cf.br ^bb11
^bb11:
cf.br ^bb5
^bb5:
%71 = llvm.load %16 : !llvm.ptr -> i64
%72 = arith.constant 1 : i32
%74 = arith.extsi %72 : i32 to i64
%73 = arith.addi %71, %74 : i64
llvm.store %73, %16 : i64, !llvm.ptr
cf.br ^bb0
^bb2:
%75 = arith.constant 0 : i32
%76 = arith.constant 2 : i32
%78 = arith.extsi %76 : i32 to i64
%77 = arith.divsi %1, %78 : i64
%80 = arith.extsi %75 : i32 to i64
%79 = arith.subi %80, %77 : i64
%81 = arith.subi %1, %79 : i64
%82 = arith.constant 1 : i32
%84 = arith.extsi %82 : i32 to i64
%83 = arith.addi %81, %84 : i64
%85 = arith.constant 0 : i32
%87 = arith.extsi %85 : i32 to i64
%86 = arith.subi %87, %79 : i64
%89 = arith.constant 1 : i32
%91 = arith.extsi %89 : i32 to i64
%90 = arith.addi %1, %91 : i64
%92 = arith.muli %90, %83 : i64
%93 = arith.constant 8 : i32
%94 = arith.extsi %93 : i32 to i64
%88 = func.call @calloc(%92, %94) : (i64, i64) -> !llvm.ptr
%95 = arith.constant 1 : i32
%96 = arith.extsi %95 : i32 to i64
%97 = llvm.getelementptr %88[%86] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %96, %97 : i64, !llvm.ptr
%98 = arith.constant 1 : i32
%99 = arith.extsi %98 : i32 to i64
%100 = llvm.mlir.constant(1 : i64) : i64
%101 = llvm.alloca %100 x i64 : (i64) -> !llvm.ptr
llvm.store %99, %101 : i64, !llvm.ptr
cf.br ^bb12
^bb12:
%102 = llvm.load %101 : !llvm.ptr -> i64
%103 = arith.cmpi sle, %102, %1 : i64
cf.cond_br %103, ^bb13, ^bb14
^bb13:
%105 = llvm.load %101 : !llvm.ptr -> i64
%106 = llvm.getelementptr %2[%105] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%104 = llvm.load %106 : !llvm.ptr -> i64
%107 = arith.constant 0 : i32
%109 = arith.extsi %107 : i32 to i64
%108 = arith.cmpi sge, %104, %109 : i64
cf.cond_br %108, ^bb15, ^bb16
^bb15:
%110 = llvm.load %101 : !llvm.ptr -> i64
%111 = llvm.mlir.constant(1 : i64) : i64
%112 = llvm.alloca %111 x i64 : (i64) -> !llvm.ptr
llvm.store %110, %112 : i64, !llvm.ptr
cf.br ^bb18
^bb18:
%113 = llvm.load %112 : !llvm.ptr -> i64
%114 = arith.cmpi sle, %113, %1 : i64
cf.cond_br %114, ^bb19, ^bb20
^bb19:
%115 = llvm.load %112 : !llvm.ptr -> i64
%116 = llvm.load %101 : !llvm.ptr -> i64
%117 = arith.subi %115, %116 : i64
%118 = arith.muli %117, %83 : i64
%119 = llvm.load %112 : !llvm.ptr -> i64
%120 = arith.muli %119, %83 : i64
%121 = llvm.mlir.constant(1 : i64) : i64
%122 = llvm.alloca %121 x i64 : (i64) -> !llvm.ptr
llvm.store %104, %122 : i64, !llvm.ptr
cf.br ^bb21
^bb21:
%123 = llvm.load %122 : !llvm.ptr -> i64
%124 = arith.cmpi slt, %123, %83 : i64
cf.cond_br %124, ^bb22, ^bb23
^bb22:
%126 = llvm.load %122 : !llvm.ptr -> i64
%127 = arith.addi %120, %126 : i64
%128 = llvm.getelementptr %88[%127] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%125 = llvm.load %128 : !llvm.ptr -> i64
%130 = llvm.load %122 : !llvm.ptr -> i64
%131 = arith.addi %118, %130 : i64
%132 = arith.subi %131, %104 : i64
%133 = llvm.getelementptr %88[%132] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%129 = llvm.load %133 : !llvm.ptr -> i64
%134 = arith.addi %125, %129 : i64
%135 = llvm.load %122 : !llvm.ptr -> i64
%136 = arith.addi %120, %135 : i64
%137 = llvm.getelementptr %88[%136] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %134, %137 : i64, !llvm.ptr
%138 = llvm.load %122 : !llvm.ptr -> i64
%139 = arith.constant 1 : i32
%141 = arith.extsi %139 : i32 to i64
%140 = arith.addi %138, %141 : i64
llvm.store %140, %122 : i64, !llvm.ptr
cf.br ^bb21
^bb23:
%142 = llvm.load %112 : !llvm.ptr -> i64
%143 = arith.constant 1 : i32
%145 = arith.extsi %143 : i32 to i64
%144 = arith.addi %142, %145 : i64
llvm.store %144, %112 : i64, !llvm.ptr
cf.br ^bb18
^bb20:
cf.br ^bb17
^bb16:
%146 = arith.constant 0 : i32
%148 = arith.extsi %146 : i32 to i64
%147 = arith.subi %148, %104 : i64
%149 = arith.subi %83, %147 : i64
%150 = llvm.load %101 : !llvm.ptr -> i64
%151 = llvm.mlir.constant(1 : i64) : i64
%152 = llvm.alloca %151 x i64 : (i64) -> !llvm.ptr
llvm.store %150, %152 : i64, !llvm.ptr
cf.br ^bb24
^bb24:
%153 = llvm.load %152 : !llvm.ptr -> i64
%154 = arith.cmpi sle, %153, %1 : i64
cf.cond_br %154, ^bb25, ^bb26
^bb25:
%155 = llvm.load %152 : !llvm.ptr -> i64
%156 = llvm.load %101 : !llvm.ptr -> i64
%157 = arith.subi %155, %156 : i64
%158 = arith.muli %157, %83 : i64
%159 = llvm.load %152 : !llvm.ptr -> i64
%160 = arith.muli %159, %83 : i64
%161 = arith.constant 0 : i32
%162 = arith.extsi %161 : i32 to i64
%163 = llvm.mlir.constant(1 : i64) : i64
%164 = llvm.alloca %163 x i64 : (i64) -> !llvm.ptr
llvm.store %162, %164 : i64, !llvm.ptr
cf.br ^bb27
^bb27:
%165 = llvm.load %164 : !llvm.ptr -> i64
%166 = arith.cmpi slt, %165, %149 : i64
cf.cond_br %166, ^bb28, ^bb29
^bb28:
%168 = llvm.load %164 : !llvm.ptr -> i64
%169 = arith.addi %160, %168 : i64
%170 = llvm.getelementptr %88[%169] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%167 = llvm.load %170 : !llvm.ptr -> i64
%172 = llvm.load %164 : !llvm.ptr -> i64
%173 = arith.addi %158, %172 : i64
%174 = arith.addi %173, %147 : i64
%175 = llvm.getelementptr %88[%174] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%171 = llvm.load %175 : !llvm.ptr -> i64
%176 = arith.addi %167, %171 : i64
%177 = llvm.load %164 : !llvm.ptr -> i64
%178 = arith.addi %160, %177 : i64
%179 = llvm.getelementptr %88[%178] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %176, %179 : i64, !llvm.ptr
%180 = llvm.load %164 : !llvm.ptr -> i64
%181 = arith.constant 1 : i32
%183 = arith.extsi %181 : i32 to i64
%182 = arith.addi %180, %183 : i64
llvm.store %182, %164 : i64, !llvm.ptr
cf.br ^bb27
^bb29:
%184 = llvm.load %152 : !llvm.ptr -> i64
%185 = arith.constant 1 : i32
%187 = arith.extsi %185 : i32 to i64
%186 = arith.addi %184, %187 : i64
llvm.store %186, %152 : i64, !llvm.ptr
cf.br ^bb24
^bb26:
cf.br ^bb17
^bb17:
%188 = llvm.load %101 : !llvm.ptr -> i64
%189 = arith.constant 1 : i32
%191 = arith.extsi %189 : i32 to i64
%190 = arith.addi %188, %191 : i64
llvm.store %190, %101 : i64, !llvm.ptr
cf.br ^bb12
^bb14:
%192 = arith.constant 0 : i32
%193 = arith.extsi %192 : i32 to i64
%194 = llvm.mlir.constant(1 : i64) : i64
%195 = llvm.alloca %194 x i64 : (i64) -> !llvm.ptr
llvm.store %193, %195 : i64, !llvm.ptr
%196 = arith.muli %1, %83 : i64
%197 = arith.constant 0 : i32
%198 = arith.extsi %197 : i32 to i64
%199 = llvm.mlir.constant(1 : i64) : i64
%200 = llvm.alloca %199 x i64 : (i64) -> !llvm.ptr
llvm.store %198, %200 : i64, !llvm.ptr
cf.br ^bb30
^bb30:
%201 = llvm.load %200 : !llvm.ptr -> i64
%202 = arith.cmpi sle, %201, %86 : i64
cf.cond_br %202, ^bb31, ^bb32
^bb31:
%203 = llvm.load %195 : !llvm.ptr -> i64
%205 = llvm.load %200 : !llvm.ptr -> i64
%206 = arith.addi %196, %205 : i64
%207 = llvm.getelementptr %88[%206] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%204 = llvm.load %207 : !llvm.ptr -> i64
%208 = arith.addi %203, %204 : i64
llvm.store %208, %195 : i64, !llvm.ptr
%209 = llvm.load %200 : !llvm.ptr -> i64
%210 = arith.constant 1 : i32
%212 = arith.extsi %210 : i32 to i64
%211 = arith.addi %209, %212 : i64
llvm.store %211, %200 : i64, !llvm.ptr
cf.br ^bb30
^bb32:
%213 = llvm.mlir.addressof @str_0 : !llvm.ptr
%214 = llvm.load %195 : !llvm.ptr -> i64
%215 = llvm.call @printf(%213, %214) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
func.call @free(%2) : (!llvm.ptr) -> ()
func.call @free(%88) : (!llvm.ptr) -> ()
%218 = arith.constant 0 : i32
func.return %218 : i32
}
}