Problem 856

Expecting Pair — expected cards until first pair (DP over rank buckets).

View problem on Project Euler

Performance comparison

Flow source

# Project Euler 856
# Expecting Pair — expected cards until first pair (DP over rank buckets).

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

const HASH_N: i64 = 1 << 20

let mut keys: ptr<i64> = null
let mut vals: ptr<f64> = null
let mut used: ptr<i8> = null

function pack(cur: i64, a0: i64, a1: i64, a2: i64, a3: i64, a4: i64) -> i64 {
    return (((((cur * 16 + a0) * 16 + a1) * 16 + a2) * 16 + a3) * 16 + a4)
}

function expected_additional(cur: i64, a0: i64, a1: i64, a2: i64, a3: i64, a4: i64) -> f64 {
    let remaining: i64 = cur + a1 + 2 * a2 + 3 * a3 + 4 * a4
    if remaining == 0 {
        return 0.0
    }
    let key: i64 = pack(cur, a0, a1, a2, a3, a4)
    let mut h: i64 = (key * 11400714819323198485) & (HASH_N - 1)
    while used[h] != 0 {
        if keys[h] == key {
            return vals[h]
        }
        h = (h + 1) & (HASH_N - 1)
    }

    let mut result: f64 = 1.0
    # count = 1..4: draw a rank with that many cards left
    let mut count: i64 = 1
    while count <= 4 {
        let mut ranks: i64 = 0
        if count == 1 { ranks = a1 }
        if count == 2 { ranks = a2 }
        if count == 3 { ranks = a3 }
        if count == 4 { ranks = a4 }
        if ranks > 0 {
            let mut na0: i64 = a0
            let mut na1: i64 = a1
            let mut na2: i64 = a2
            let mut na3: i64 = a3
            let mut na4: i64 = a4
            if count == 1 { na1 = na1 - 1 }
            if count == 2 { na2 = na2 - 1 }
            if count == 3 { na3 = na3 - 1 }
            if count == 4 { na4 = na4 - 1 }
            # return old current-rank remainder into its bucket
            if cur == 0 { na0 = na0 + 1 }
            if cur == 1 { na1 = na1 + 1 }
            if cur == 2 { na2 = na2 + 1 }
            if cur == 3 { na3 = na3 + 1 }
            if cur == 4 { na4 = na4 + 1 }
            let nxt: f64 = expected_additional(count - 1, na0, na1, na2, na3, na4)
            result = result + ((count as f64) * (ranks as f64) / (remaining as f64)) * nxt
        }
        count = count + 1
    }

    used[h] = 1
    keys[h] = key
    vals[h] = result
    return result
}

function main() -> i32 {
    keys = calloc(HASH_N, 8)
    vals = calloc(HASH_N, 8)
    used = calloc(HASH_N, 1)
    let ans: f64 = 1.0 + expected_additional(3, 0, 0, 0, 0, 12)
    printf("%.8f\n", ans)
    free(keys)
    free(vals)
    free(used)
    return 0
}

Generated C

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

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

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

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

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

#include <math.h>

void* _ui_state = NULL;

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

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

int64_t pack_i64_i64_i64_i64_i64_i64(int64_t cur, int64_t a0, int64_t a1, int64_t a2, int64_t a3, int64_t a4);
double expected_additional_i64_i64_i64_i64_i64_i64(int64_t cur, int64_t a0, int64_t a1, int64_t a2, int64_t a3, int64_t a4);
int32_t main(void);

static const int64_t HASH_N = FLOW_CHECKED_SHL((1), (20));

/* Module statics */
static int64_t* keys = NULL;
static double* vals = NULL;
static int8_t* used = NULL;



int64_t pack_i64_i64_i64_i64_i64_i64(int64_t cur, int64_t a0, int64_t a1, int64_t a2, int64_t a3, int64_t a4) {
    return ((((((((((cur * 16) + a0) * 16) + a1) * 16) + a2) * 16) + a3) * 16) + a4);
}

double expected_additional_i64_i64_i64_i64_i64_i64(int64_t cur, int64_t a0, int64_t a1, int64_t a2, int64_t a3, int64_t a4) {
    int64_t remaining = ((((cur + a1) + (2 * a2)) + (3 * a3)) + (4 * a4));
    if (remaining == 0) {
        return 0.0;
    }
    int64_t key = pack_i64_i64_i64_i64_i64_i64(cur, a0, a1, a2, a3, a4);
    int64_t h = ((key * ((__int128)0x9E3779B97F4A7C15ULL)) & (HASH_N - 1));
    while (used[h] != 0) {
        if (keys[h] == key) {
            return vals[h];
        }
        h = ((h + 1) & (HASH_N - 1));
    }
    double result = 1.0;
    int64_t count = 1;
    while (count <= 4) {
        int64_t ranks = 0;
        if (count == 1) {
            ranks = a1;
        }
        if (count == 2) {
            ranks = a2;
        }
        if (count == 3) {
            ranks = a3;
        }
        if (count == 4) {
            ranks = a4;
        }
        if (ranks > 0) {
            int64_t na0 = a0;
            int64_t na1 = a1;
            int64_t na2 = a2;
            int64_t na3 = a3;
            int64_t na4 = a4;
            if (count == 1) {
                na1 = (na1 - 1);
            }
            if (count == 2) {
                na2 = (na2 - 1);
            }
            if (count == 3) {
                na3 = (na3 - 1);
            }
            if (count == 4) {
                na4 = (na4 - 1);
            }
            if (cur == 0) {
                na0 = (na0 + 1);
            }
            if (cur == 1) {
                na1 = (na1 + 1);
            }
            if (cur == 2) {
                na2 = (na2 + 1);
            }
            if (cur == 3) {
                na3 = (na3 + 1);
            }
            if (cur == 4) {
                na4 = (na4 + 1);
            }
            double nxt = expected_additional_i64_i64_i64_i64_i64_i64((count - 1), na0, na1, na2, na3, na4);
            result = (result + (((((double)(count)) * ((double)(ranks))) / ((double)(remaining))) * nxt));
        }
        count = (count + 1);
    }
    used[h] = 1;
    keys[h] = key;
    vals[h] = result;
    return result;
}

int32_t main(void) {
    keys = calloc(HASH_N, 8);
    vals = calloc(HASH_N, 8);
    used = calloc(HASH_N, 1);
    double ans = (1.0 + expected_additional_i64_i64_i64_i64_i64_i64(3, 0, 0, 0, 0, 12));
    printf("%.8f\n", ans);
    free(keys);
    free(vals);
    free(used);
    return 0;
}

Generated MLIR

module {
  llvm.func @printf(!llvm.ptr, ...) -> i32
  llvm.mlir.global internal constant @str_0("%.8f\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) -> ()
  // Constant: HASH_N
  llvm.mlir.global internal constant @HASH_N(1048576 : i64) : i64
  // Module static: keys
  llvm.mlir.global internal @keys() {addr_space = 0 : i32} : !llvm.ptr {
    %0 = llvm.mlir.zero : !llvm.ptr
    llvm.return %0 : !llvm.ptr
  }
  // Module static: vals
  llvm.mlir.global internal @vals() {addr_space = 0 : i32} : !llvm.ptr {
    %1 = llvm.mlir.zero : !llvm.ptr
    llvm.return %1 : !llvm.ptr
  }
  // Module static: used
  llvm.mlir.global internal @used() {addr_space = 0 : i32} : !llvm.ptr {
    %2 = llvm.mlir.zero : !llvm.ptr
    llvm.return %2 : !llvm.ptr
  }
  func.func @pack(%arg0: i64, %arg1: i64, %arg2: i64, %arg3: i64, %arg4: i64, %arg5: i64) -> i64 {
    %3 = arith.constant 16 : i32
    %5 = arith.extsi %3 : i32 to i64
    %4 = arith.muli %arg0, %5 : i64
    %6 = arith.addi %4, %arg1 : i64
    %7 = arith.constant 16 : i32
    %9 = arith.extsi %7 : i32 to i64
    %8 = arith.muli %6, %9 : i64
    %10 = arith.addi %8, %arg2 : i64
    %11 = arith.constant 16 : i32
    %13 = arith.extsi %11 : i32 to i64
    %12 = arith.muli %10, %13 : i64
    %14 = arith.addi %12, %arg3 : i64
    %15 = arith.constant 16 : i32
    %17 = arith.extsi %15 : i32 to i64
    %16 = arith.muli %14, %17 : i64
    %18 = arith.addi %16, %arg4 : i64
    %19 = arith.constant 16 : i32
    %21 = arith.extsi %19 : i32 to i64
    %20 = arith.muli %18, %21 : i64
    %22 = arith.addi %20, %arg5 : i64
    func.return %22 : i64
  }
  func.func @expected_additional(%arg0: i64, %arg1: i64, %arg2: i64, %arg3: i64, %arg4: i64, %arg5: i64) -> f64 {
    %23 = arith.addi %arg0, %arg2 : i64
    %24 = arith.constant 2 : i32
    %26 = arith.extsi %24 : i32 to i64
    %25 = arith.muli %26, %arg3 : i64
    %27 = arith.addi %23, %25 : i64
    %28 = arith.constant 3 : i32
    %30 = arith.extsi %28 : i32 to i64
    %29 = arith.muli %30, %arg4 : i64
    %31 = arith.addi %27, %29 : i64
    %32 = arith.constant 4 : i32
    %34 = arith.extsi %32 : i32 to i64
    %33 = arith.muli %34, %arg5 : i64
    %35 = arith.addi %31, %33 : i64
    %36 = arith.constant 0 : i32
    %38 = arith.extsi %36 : i32 to i64
    %37 = arith.cmpi eq, %35, %38 : i64
    cf.cond_br %37, ^bb0, ^bb1
    ^bb0:
      %39 = arith.constant 0.0 : f32
      %40 = arith.extf %39 : f32 to f64
      func.return %40 : f64
    ^bb1:
      cf.br ^bb2
    ^bb2:
    %41 = func.call @pack(%arg0, %arg1, %arg2, %arg3, %arg4, %arg5) : (i64, i64, i64, i64, i64, i64) -> i64
    %42 = arith.constant 11400714815028231189 : i32
    %44 = arith.extsi %42 : i32 to i64
    %43 = arith.muli %41, %44 : i64
    %45 = llvm.mlir.addressof @HASH_N : !llvm.ptr
    %46 = llvm.load %45 : !llvm.ptr -> i64
    %47 = arith.constant 1 : i32
    %49 = arith.extsi %47 : i32 to i64
    %48 = arith.subi %46, %49 : i64
    %50 = arith.andi %43, %48 : 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:
    %54 = llvm.mlir.addressof @used : !llvm.ptr
    %55 = llvm.load %54 : !llvm.ptr -> !llvm.ptr
    %56 = llvm.load %52 : !llvm.ptr -> i64
    %57 = llvm.getelementptr %55[%56] : (!llvm.ptr, i64) -> !llvm.ptr, i8
    %53 = llvm.load %57 : !llvm.ptr -> i8
    %58 = arith.constant 0 : i32
    %60 = arith.extsi %53 : i8 to i32
    %59 = arith.cmpi ne, %60, %58 : i32
    cf.cond_br %59, ^bb4, ^bb5
    ^bb4:
      %62 = llvm.mlir.addressof @keys : !llvm.ptr
      %63 = llvm.load %62 : !llvm.ptr -> !llvm.ptr
      %64 = llvm.load %52 : !llvm.ptr -> i64
      %65 = llvm.getelementptr %63[%64] : (!llvm.ptr, i64) -> !llvm.ptr, i64
      %61 = llvm.load %65 : !llvm.ptr -> i64
      %66 = arith.cmpi eq, %61, %41 : i64
      cf.cond_br %66, ^bb6, ^bb7
      ^bb6:
        %68 = llvm.mlir.addressof @vals : !llvm.ptr
        %69 = llvm.load %68 : !llvm.ptr -> !llvm.ptr
        %70 = llvm.load %52 : !llvm.ptr -> i64
        %71 = llvm.getelementptr %69[%70] : (!llvm.ptr, i64) -> !llvm.ptr, f64
        %67 = llvm.load %71 : !llvm.ptr -> f64
        func.return %67 : f64
      ^bb7:
        cf.br ^bb8
      ^bb8:
      %72 = llvm.load %52 : !llvm.ptr -> i64
      %73 = arith.constant 1 : i32
      %75 = arith.extsi %73 : i32 to i64
      %74 = arith.addi %72, %75 : i64
      %76 = llvm.mlir.addressof @HASH_N : !llvm.ptr
      %77 = llvm.load %76 : !llvm.ptr -> i64
      %78 = arith.constant 1 : i32
      %80 = arith.extsi %78 : i32 to i64
      %79 = arith.subi %77, %80 : i64
      %81 = arith.andi %74, %79 : i64
      llvm.store %81, %52 : i64, !llvm.ptr
      cf.br ^bb3
    ^bb5:
    %82 = arith.constant 1.0 : f32
    %83 = arith.extf %82 : f32 to f64
    %84 = llvm.mlir.constant(1 : i64) : i64
    %85 = llvm.alloca %84 x f64 : (i64) -> !llvm.ptr
    llvm.store %83, %85 : f64, !llvm.ptr
    %86 = arith.constant 1 : i32
    %87 = arith.extsi %86 : i32 to i64
    %88 = llvm.mlir.constant(1 : i64) : i64
    %89 = llvm.alloca %88 x i64 : (i64) -> !llvm.ptr
    llvm.store %87, %89 : i64, !llvm.ptr
    cf.br ^bb9
    ^bb9:
    %90 = llvm.load %89 : !llvm.ptr -> i64
    %91 = arith.constant 4 : i32
    %93 = arith.extsi %91 : i32 to i64
    %92 = arith.cmpi sle, %90, %93 : i64
    cf.cond_br %92, ^bb10, ^bb11
    ^bb10:
      %94 = arith.constant 0 : i32
      %95 = arith.extsi %94 : i32 to i64
      %96 = llvm.mlir.constant(1 : i64) : i64
      %97 = llvm.alloca %96 x i64 : (i64) -> !llvm.ptr
      llvm.store %95, %97 : i64, !llvm.ptr
      %98 = llvm.load %89 : !llvm.ptr -> i64
      %99 = arith.constant 1 : i32
      %101 = arith.extsi %99 : i32 to i64
      %100 = arith.cmpi eq, %98, %101 : i64
      cf.cond_br %100, ^bb12, ^bb13
      ^bb12:
        llvm.store %arg2, %97 : i64, !llvm.ptr
        cf.br ^bb14
      ^bb13:
        cf.br ^bb14
      ^bb14:
      %102 = llvm.load %89 : !llvm.ptr -> i64
      %103 = arith.constant 2 : i32
      %105 = arith.extsi %103 : i32 to i64
      %104 = arith.cmpi eq, %102, %105 : i64
      cf.cond_br %104, ^bb15, ^bb16
      ^bb15:
        llvm.store %arg3, %97 : i64, !llvm.ptr
        cf.br ^bb17
      ^bb16:
        cf.br ^bb17
      ^bb17:
      %106 = llvm.load %89 : !llvm.ptr -> i64
      %107 = arith.constant 3 : i32
      %109 = arith.extsi %107 : i32 to i64
      %108 = arith.cmpi eq, %106, %109 : i64
      cf.cond_br %108, ^bb18, ^bb19
      ^bb18:
        llvm.store %arg4, %97 : i64, !llvm.ptr
        cf.br ^bb20
      ^bb19:
        cf.br ^bb20
      ^bb20:
      %110 = llvm.load %89 : !llvm.ptr -> i64
      %111 = arith.constant 4 : i32
      %113 = arith.extsi %111 : i32 to i64
      %112 = arith.cmpi eq, %110, %113 : i64
      cf.cond_br %112, ^bb21, ^bb22
      ^bb21:
        llvm.store %arg5, %97 : i64, !llvm.ptr
        cf.br ^bb23
      ^bb22:
        cf.br ^bb23
      ^bb23:
      %114 = llvm.load %97 : !llvm.ptr -> i64
      %115 = arith.constant 0 : i32
      %117 = arith.extsi %115 : i32 to i64
      %116 = arith.cmpi sgt, %114, %117 : i64
      cf.cond_br %116, ^bb24, ^bb25
      ^bb24:
        %118 = llvm.mlir.constant(1 : i64) : i64
        %119 = llvm.alloca %118 x i64 : (i64) -> !llvm.ptr
        llvm.store %arg1, %119 : i64, !llvm.ptr
        %120 = llvm.mlir.constant(1 : i64) : i64
        %121 = llvm.alloca %120 x i64 : (i64) -> !llvm.ptr
        llvm.store %arg2, %121 : i64, !llvm.ptr
        %122 = llvm.mlir.constant(1 : i64) : i64
        %123 = llvm.alloca %122 x i64 : (i64) -> !llvm.ptr
        llvm.store %arg3, %123 : i64, !llvm.ptr
        %124 = llvm.mlir.constant(1 : i64) : i64
        %125 = llvm.alloca %124 x i64 : (i64) -> !llvm.ptr
        llvm.store %arg4, %125 : i64, !llvm.ptr
        %126 = llvm.mlir.constant(1 : i64) : i64
        %127 = llvm.alloca %126 x i64 : (i64) -> !llvm.ptr
        llvm.store %arg5, %127 : i64, !llvm.ptr
        %128 = llvm.load %89 : !llvm.ptr -> i64
        %129 = arith.constant 1 : i32
        %131 = arith.extsi %129 : i32 to i64
        %130 = arith.cmpi eq, %128, %131 : i64
        cf.cond_br %130, ^bb27, ^bb28
        ^bb27:
          %132 = llvm.load %121 : !llvm.ptr -> i64
          %133 = arith.constant 1 : i32
          %135 = arith.extsi %133 : i32 to i64
          %134 = arith.subi %132, %135 : i64
          llvm.store %134, %121 : i64, !llvm.ptr
          cf.br ^bb29
        ^bb28:
          cf.br ^bb29
        ^bb29:
        %136 = llvm.load %89 : !llvm.ptr -> i64
        %137 = arith.constant 2 : i32
        %139 = arith.extsi %137 : i32 to i64
        %138 = arith.cmpi eq, %136, %139 : i64
        cf.cond_br %138, ^bb30, ^bb31
        ^bb30:
          %140 = llvm.load %123 : !llvm.ptr -> i64
          %141 = arith.constant 1 : i32
          %143 = arith.extsi %141 : i32 to i64
          %142 = arith.subi %140, %143 : i64
          llvm.store %142, %123 : i64, !llvm.ptr
          cf.br ^bb32
        ^bb31:
          cf.br ^bb32
        ^bb32:
        %144 = llvm.load %89 : !llvm.ptr -> i64
        %145 = arith.constant 3 : i32
        %147 = arith.extsi %145 : i32 to i64
        %146 = arith.cmpi eq, %144, %147 : i64
        cf.cond_br %146, ^bb33, ^bb34
        ^bb33:
          %148 = llvm.load %125 : !llvm.ptr -> i64
          %149 = arith.constant 1 : i32
          %151 = arith.extsi %149 : i32 to i64
          %150 = arith.subi %148, %151 : i64
          llvm.store %150, %125 : i64, !llvm.ptr
          cf.br ^bb35
        ^bb34:
          cf.br ^bb35
        ^bb35:
        %152 = llvm.load %89 : !llvm.ptr -> i64
        %153 = arith.constant 4 : i32
        %155 = arith.extsi %153 : i32 to i64
        %154 = arith.cmpi eq, %152, %155 : i64
        cf.cond_br %154, ^bb36, ^bb37
        ^bb36:
          %156 = llvm.load %127 : !llvm.ptr -> i64
          %157 = arith.constant 1 : i32
          %159 = arith.extsi %157 : i32 to i64
          %158 = arith.subi %156, %159 : i64
          llvm.store %158, %127 : i64, !llvm.ptr
          cf.br ^bb38
        ^bb37:
          cf.br ^bb38
        ^bb38:
        %160 = arith.constant 0 : i32
        %162 = arith.extsi %160 : i32 to i64
        %161 = arith.cmpi eq, %arg0, %162 : i64
        cf.cond_br %161, ^bb39, ^bb40
        ^bb39:
          %163 = llvm.load %119 : !llvm.ptr -> i64
          %164 = arith.constant 1 : i32
          %166 = arith.extsi %164 : i32 to i64
          %165 = arith.addi %163, %166 : i64
          llvm.store %165, %119 : i64, !llvm.ptr
          cf.br ^bb41
        ^bb40:
          cf.br ^bb41
        ^bb41:
        %167 = arith.constant 1 : i32
        %169 = arith.extsi %167 : i32 to i64
        %168 = arith.cmpi eq, %arg0, %169 : i64
        cf.cond_br %168, ^bb42, ^bb43
        ^bb42:
          %170 = llvm.load %121 : !llvm.ptr -> i64
          %171 = arith.constant 1 : i32
          %173 = arith.extsi %171 : i32 to i64
          %172 = arith.addi %170, %173 : i64
          llvm.store %172, %121 : i64, !llvm.ptr
          cf.br ^bb44
        ^bb43:
          cf.br ^bb44
        ^bb44:
        %174 = arith.constant 2 : i32
        %176 = arith.extsi %174 : i32 to i64
        %175 = arith.cmpi eq, %arg0, %176 : i64
        cf.cond_br %175, ^bb45, ^bb46
        ^bb45:
          %177 = llvm.load %123 : !llvm.ptr -> i64
          %178 = arith.constant 1 : i32
          %180 = arith.extsi %178 : i32 to i64
          %179 = arith.addi %177, %180 : i64
          llvm.store %179, %123 : i64, !llvm.ptr
          cf.br ^bb47
        ^bb46:
          cf.br ^bb47
        ^bb47:
        %181 = arith.constant 3 : i32
        %183 = arith.extsi %181 : i32 to i64
        %182 = arith.cmpi eq, %arg0, %183 : i64
        cf.cond_br %182, ^bb48, ^bb49
        ^bb48:
          %184 = llvm.load %125 : !llvm.ptr -> i64
          %185 = arith.constant 1 : i32
          %187 = arith.extsi %185 : i32 to i64
          %186 = arith.addi %184, %187 : i64
          llvm.store %186, %125 : i64, !llvm.ptr
          cf.br ^bb50
        ^bb49:
          cf.br ^bb50
        ^bb50:
        %188 = arith.constant 4 : i32
        %190 = arith.extsi %188 : i32 to i64
        %189 = arith.cmpi eq, %arg0, %190 : i64
        cf.cond_br %189, ^bb51, ^bb52
        ^bb51:
          %191 = llvm.load %127 : !llvm.ptr -> i64
          %192 = arith.constant 1 : i32
          %194 = arith.extsi %192 : i32 to i64
          %193 = arith.addi %191, %194 : i64
          llvm.store %193, %127 : i64, !llvm.ptr
          cf.br ^bb53
        ^bb52:
          cf.br ^bb53
        ^bb53:
        %196 = llvm.load %89 : !llvm.ptr -> i64
        %197 = arith.constant 1 : i32
        %199 = arith.extsi %197 : i32 to i64
        %198 = arith.subi %196, %199 : i64
        %200 = llvm.load %119 : !llvm.ptr -> i64
        %201 = llvm.load %121 : !llvm.ptr -> i64
        %202 = llvm.load %123 : !llvm.ptr -> i64
        %203 = llvm.load %125 : !llvm.ptr -> i64
        %204 = llvm.load %127 : !llvm.ptr -> i64
        %195 = func.call @expected_additional(%198, %200, %201, %202, %203, %204) : (i64, i64, i64, i64, i64, i64) -> f64
        %205 = llvm.load %85 : !llvm.ptr -> f64
        %206 = llvm.load %89 : !llvm.ptr -> i64
        %207 = arith.sitofp %206 : i64 to f64
        %208 = llvm.load %97 : !llvm.ptr -> i64
        %209 = arith.sitofp %208 : i64 to f64
        %210 = arith.mulf %207, %209 : f64
        %211 = arith.sitofp %35 : i64 to f64
        %212 = arith.divf %210, %211 : f64
        %213 = arith.mulf %212, %195 : f64
        %214 = arith.addf %205, %213 : f64
        llvm.store %214, %85 : f64, !llvm.ptr
        cf.br ^bb26
      ^bb25:
        cf.br ^bb26
      ^bb26:
      %215 = llvm.load %89 : !llvm.ptr -> i64
      %216 = arith.constant 1 : i32
      %218 = arith.extsi %216 : i32 to i64
      %217 = arith.addi %215, %218 : i64
      llvm.store %217, %89 : i64, !llvm.ptr
      cf.br ^bb9
    ^bb11:
    %219 = arith.constant 1 : i32
    %220 = llvm.mlir.addressof @used : !llvm.ptr
    %221 = llvm.load %220 : !llvm.ptr -> !llvm.ptr
    %222 = llvm.load %52 : !llvm.ptr -> i64
    %223 = arith.trunci %219 : i32 to i8
    %224 = llvm.getelementptr %221[%222] : (!llvm.ptr, i64) -> !llvm.ptr, i8
    llvm.store %223, %224 : i8, !llvm.ptr
    %225 = llvm.mlir.addressof @keys : !llvm.ptr
    %226 = llvm.load %225 : !llvm.ptr -> !llvm.ptr
    %227 = llvm.load %52 : !llvm.ptr -> i64
    %228 = llvm.getelementptr %226[%227] : (!llvm.ptr, i64) -> !llvm.ptr, i64
    llvm.store %41, %228 : i64, !llvm.ptr
    %229 = llvm.load %85 : !llvm.ptr -> f64
    %230 = llvm.mlir.addressof @vals : !llvm.ptr
    %231 = llvm.load %230 : !llvm.ptr -> !llvm.ptr
    %232 = llvm.load %52 : !llvm.ptr -> i64
    %233 = llvm.getelementptr %231[%232] : (!llvm.ptr, i64) -> !llvm.ptr, f64
    llvm.store %229, %233 : f64, !llvm.ptr
    %234 = llvm.load %85 : !llvm.ptr -> f64
    func.return %234 : f64
  }
  func.func @main() -> i32 {
    %236 = llvm.mlir.addressof @HASH_N : !llvm.ptr
    %237 = llvm.load %236 : !llvm.ptr -> i64
    %238 = arith.constant 8 : i32
    %239 = arith.extsi %238 : i32 to i64
    %235 = func.call @calloc(%237, %239) : (i64, i64) -> !llvm.ptr
    %240 = llvm.mlir.addressof @keys : !llvm.ptr
    llvm.store %235, %240 : !llvm.ptr, !llvm.ptr
    %242 = llvm.mlir.addressof @HASH_N : !llvm.ptr
    %243 = llvm.load %242 : !llvm.ptr -> i64
    %244 = arith.constant 8 : i32
    %245 = arith.extsi %244 : i32 to i64
    %241 = func.call @calloc(%243, %245) : (i64, i64) -> !llvm.ptr
    %246 = llvm.mlir.addressof @vals : !llvm.ptr
    llvm.store %241, %246 : !llvm.ptr, !llvm.ptr
    %248 = llvm.mlir.addressof @HASH_N : !llvm.ptr
    %249 = llvm.load %248 : !llvm.ptr -> i64
    %250 = arith.constant 1 : i32
    %251 = arith.extsi %250 : i32 to i64
    %247 = func.call @calloc(%249, %251) : (i64, i64) -> !llvm.ptr
    %252 = llvm.mlir.addressof @used : !llvm.ptr
    llvm.store %247, %252 : !llvm.ptr, !llvm.ptr
    %253 = arith.constant 1.0 : f32
    %255 = arith.constant 3 : i32
    %256 = arith.constant 0 : i32
    %257 = arith.constant 0 : i32
    %258 = arith.constant 0 : i32
    %259 = arith.constant 0 : i32
    %260 = arith.constant 12 : i32
    %261 = arith.extsi %255 : i32 to i64
    %262 = arith.extsi %256 : i32 to i64
    %263 = arith.extsi %257 : i32 to i64
    %264 = arith.extsi %258 : i32 to i64
    %265 = arith.extsi %259 : i32 to i64
    %266 = arith.extsi %260 : i32 to i64
    %254 = func.call @expected_additional(%261, %262, %263, %264, %265, %266) : (i64, i64, i64, i64, i64, i64) -> f64
    %268 = arith.extf %253 : f32 to f64
    %267 = arith.addf %268, %254 : f64
    %269 = llvm.mlir.addressof @str_0 : !llvm.ptr
    %270 = llvm.call @printf(%269, %267) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, f64) -> i32
    %272 = llvm.mlir.addressof @keys : !llvm.ptr
    %273 = llvm.load %272 : !llvm.ptr -> !llvm.ptr
    func.call @free(%273) : (!llvm.ptr) -> ()
    %275 = llvm.mlir.addressof @vals : !llvm.ptr
    %276 = llvm.load %275 : !llvm.ptr -> !llvm.ptr
    func.call @free(%276) : (!llvm.ptr) -> ()
    %278 = llvm.mlir.addressof @used : !llvm.ptr
    %279 = llvm.load %278 : !llvm.ptr -> !llvm.ptr
    func.call @free(%279) : (!llvm.ptr) -> ()
    %280 = arith.constant 0 : i32
    func.return %280 : i32
  }
}