Problem 869

E(10^8) via binary trie on reversed prime bits. Build a binary trie keyed by the reversed binary representation of each prime (LSB first). At every internal node the score contribution is max(count_left, count_right). The answer is total_score / pi(N).

Answer14.97696693
Output14.97696693
StatusPASS
Native helperno
Runtime1510 ms
Peak memory143872 KB
Time complexityO(n^2) (estimated)
Space complexityO(n) (estimated)

Performance comparison

MetricOur solutionBest known
Time complexityO(n^2)?
Space complexityO(n)?
ApproachFlow solutionNot curated
VerdictUnknown

Flow source

# Project Euler 869: Prime Guessing
# E(10^8) via binary trie on reversed prime bits.
# Build a binary trie keyed by the reversed binary representation of each
# prime (LSB first). At every internal node the score contribution is
# max(count_left, count_right). The answer is total_score / pi(N).

extern {
    function calloc(n: i64, size: i64) -> ptr<void>
    function free(p: ptr<void>) -> void
    function sqrt(x: f64) -> f64
    function memset(dst: ptr<void>, val: i32, n: i64) -> void
}

const N: i64 = 100000000

# Global state for calc_points
let mut total_points: i64 = 0
let mut tmpbuf: ptr<i32> = null as ptr<i32>

function calc_points(arr: ptr<i32>, lo: i32, hi: i32, bit: i32) -> void {
    if hi <= lo { return }
    if bit >= 31 { return }

    let mut count0: i32 = 0
    let mut count1: i32 = 0
    let mut i: i32 = lo
    while i < hi {
        let v: i32 = arr[i] >> bit
        if v != 0 {
            if (v & 1) != 0 {
                count1 = count1 + 1
            } else {
                count0 = count0 + 1
            }
        }
        i = i + 1
    }

    if count0 + count1 == 0 { return }

    if count0 > count1 {
        total_points = total_points + (count0 as i64)
    } else {
        total_points = total_points + (count1 as i64)
    }

    let p0: i32 = 0
    let p1: i32 = count0
    let p2: i32 = count0 + count1
    i = lo
    while i < hi {
        let v: i32 = arr[i] >> bit
        if v == 0 {
            tmpbuf[p2] = arr[i]
            p2 = p2 + 1
        } else {
            if (v & 1) != 0 {
                tmpbuf[p1] = arr[i]
                p1 = p1 + 1
            } else {
                tmpbuf[p0] = arr[i]
                p0 = p0 + 1
            }
        }
        i = i + 1
    }

    let count: i64 = (hi - lo) as i64
    # Copy from tmpbuf back to arr[lo..hi]
    let mut k: i32 = 0
    while k < hi - lo {
        arr[lo + k] = tmpbuf[k]
        k = k + 1
    }

    let mid0: i32 = lo + count0
    let mid1: i32 = mid0 + count1
    calc_points(arr, lo, mid0, bit + 1)
    calc_points(arr, mid0, mid1, bit + 1)
}

function main() -> i32 {
    let is_prime: ptr<i8> = calloc(N + 1, 1)
    memset(is_prime as ptr<void>, 1, N + 1)
    is_prime[0] = 0
    is_prime[1] = 0
    let limit: i32 = sqrt(N as f64) as i32
    let mut i: i32 = 2
    while i <= limit {
        if is_prime[i] != 0 {
            let mut j: i32 = i * i
            while j <= N as i32 {
                is_prime[j] = 0
                j = j + i
            }
        }
        i = i + 1
    }

    let mut pc: i32 = 0
    i = 2
    while i <= N as i32 {
        if is_prime[i] != 0 { pc = pc + 1 }
        i = i + 1
    }

    let primes: ptr<i32> = calloc(pc as i64, 4)
    let mut idx: i32 = 0
    i = 2
    while i <= N as i32 {
        if is_prime[i] != 0 {
            primes[idx] = i
            idx = idx + 1
        }
        i = i + 1
    }
    free(is_prime as ptr<void>)

    tmpbuf = calloc(pc as i64, 4)
    total_points = 0
    calc_points(primes, 0, pc, 0)

    let result: f64 = (total_points as f64) / (pc as f64)
    printf("%.8f\n", result)

    free(primes as ptr<void>)
    free(tmpbuf as ptr<void>)
    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; }

void calc_points_ptr_i32_i32_i32_i32(int32_t* arr, int32_t lo, int32_t hi, int32_t bit);
int32_t main(void);

static const int64_t N = 100000000;

/* Module statics */
static int64_t total_points = 0;
static int32_t* tmpbuf = ((int32_t*)(NULL));





void calc_points_ptr_i32_i32_i32_i32(int32_t* arr, int32_t lo, int32_t hi, int32_t bit) {
    if (hi <= lo) {
        return;
    }
    if (bit >= 31) {
        return;
    }
    int32_t count0 = 0;
    int32_t count1 = 0;
    int32_t i = lo;
    while (i < hi) {
        int32_t v = FLOW_CHECKED_SHR((arr[i]), (bit));
        if (v != 0) {
            if ((v & 1) != 0) {
                count1 = (count1 + 1);
            } else {
                count0 = (count0 + 1);
            }
        }
        i = (i + 1);
    }
    if ((count0 + count1) == 0) {
        return;
    }
    if (count0 > count1) {
        total_points = (total_points + ((int64_t)(count0)));
    } else {
        total_points = (total_points + ((int64_t)(count1)));
    }
    int32_t p0 = 0;
    int32_t p1 = count0;
    int32_t p2 = (count0 + count1);
    i = lo;
    while (i < hi) {
        int32_t v = FLOW_CHECKED_SHR((arr[i]), (bit));
        if (v == 0) {
            tmpbuf[p2] = arr[i];
            p2 = (p2 + 1);
        } else {
            if ((v & 1) != 0) {
                tmpbuf[p1] = arr[i];
                p1 = (p1 + 1);
            } else {
                tmpbuf[p0] = arr[i];
                p0 = (p0 + 1);
            }
        }
        i = (i + 1);
    }
    int64_t count = ((int64_t)((hi - lo)));
    int32_t k = 0;
    while (k < (hi - lo)) {
        arr[(lo + k)] = tmpbuf[k];
        k = (k + 1);
    }
    int32_t mid0 = (lo + count0);
    int32_t mid1 = (mid0 + count1);
    calc_points_ptr_i32_i32_i32_i32(arr, lo, mid0, (bit + 1));
    calc_points_ptr_i32_i32_i32_i32(arr, mid0, mid1, (bit + 1));
}

int32_t main(void) {
    int8_t* is_prime = (int8_t*)(calloc((N + 1), 1));
    memset(((void*)(is_prime)), 1, (N + 1));
    is_prime[0] = 0;
    is_prime[1] = 0;
    int32_t limit = ((int32_t)(sqrt(((double)(N)))));
    int32_t i = 2;
    while (i <= limit) {
        if (is_prime[i] != 0) {
            int32_t j = (i * i);
            while (j <= ((int32_t)(N))) {
                is_prime[j] = 0;
                j = (j + i);
            }
        }
        i = (i + 1);
    }
    int32_t pc = 0;
    i = 2;
    while (i <= ((int32_t)(N))) {
        if (is_prime[i] != 0) {
            pc = (pc + 1);
        }
        i = (i + 1);
    }
    int32_t* primes = (int32_t*)(calloc(((int64_t)(pc)), 4));
    int32_t idx = 0;
    i = 2;
    while (i <= ((int32_t)(N))) {
        if (is_prime[i] != 0) {
            primes[idx] = i;
            idx = (idx + 1);
        }
        i = (i + 1);
    }
    free(((void*)(is_prime)));
    tmpbuf = calloc(((int64_t)(pc)), 4);
    total_points = 0;
    calc_points_ptr_i32_i32_i32_i32(primes, 0, pc, 0);
    double result = (((double)(total_points)) / ((double)(pc)));
    printf("%.8f\n", result);
    free(((void*)(primes)));
    free(((void*)(tmpbuf)));
    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) -> ()
  func.func private @sqrt(f64) -> f64
  func.func private @memset(!llvm.ptr, i32, i64) -> ()
  // Constant: N
  llvm.mlir.global internal constant @N(100000000 : i64) : i64
  // Module static: total_points
  llvm.mlir.global internal @total_points(0 : i64) : i64
  // Module static: tmpbuf
  llvm.mlir.global internal @tmpbuf() {addr_space = 0 : i32} : !llvm.ptr {
    %0 = llvm.mlir.zero : !llvm.ptr
    llvm.return %0 : !llvm.ptr
  }
  func.func @calc_points(%arg0: !llvm.ptr, %arg1: i32, %arg2: i32, %arg3: i32) -> () {
    %1 = arith.cmpi sle, %arg2, %arg1 : i32
    cf.cond_br %1, ^bb0, ^bb1
    ^bb0:
      func.return
    ^bb1:
      cf.br ^bb2
    ^bb2:
    %2 = arith.constant 31 : i32
    %3 = arith.cmpi sge, %arg3, %2 : i32
    cf.cond_br %3, ^bb3, ^bb4
    ^bb3:
      func.return
    ^bb4:
      cf.br ^bb5
    ^bb5:
    %4 = arith.constant 0 : i32
    %5 = llvm.mlir.constant(1 : i64) : i64
    %6 = llvm.alloca %5 x i32 : (i64) -> !llvm.ptr
    llvm.store %4, %6 : i32, !llvm.ptr
    %7 = arith.constant 0 : i32
    %8 = llvm.mlir.constant(1 : i64) : i64
    %9 = llvm.alloca %8 x i32 : (i64) -> !llvm.ptr
    llvm.store %7, %9 : i32, !llvm.ptr
    %10 = llvm.mlir.constant(1 : i64) : i64
    %11 = llvm.alloca %10 x i32 : (i64) -> !llvm.ptr
    llvm.store %arg1, %11 : i32, !llvm.ptr
    cf.br ^bb6
    ^bb6:
    %12 = llvm.load %11 : !llvm.ptr -> i32
    %13 = arith.cmpi slt, %12, %arg2 : i32
    cf.cond_br %13, ^bb7, ^bb8
    ^bb7:
      %15 = llvm.load %11 : !llvm.ptr -> i32
      %16 = arith.extsi %15 : i32 to i64
      %17 = llvm.getelementptr %arg0[%16] : (!llvm.ptr, i64) -> !llvm.ptr, i32
      %14 = llvm.load %17 : !llvm.ptr -> i32
      %18 = arith.shrsi %14, %arg3 : i32
      %19 = arith.constant 0 : i32
      %20 = arith.cmpi ne, %18, %19 : i32
      cf.cond_br %20, ^bb9, ^bb10
      ^bb9:
        %21 = arith.constant 1 : i32
        %22 = arith.andi %18, %21 : i32
        %23 = arith.constant 0 : i32
        %24 = arith.cmpi ne, %22, %23 : i32
        cf.cond_br %24, ^bb12, ^bb13
        ^bb12:
          %25 = llvm.load %9 : !llvm.ptr -> i32
          %26 = arith.constant 1 : i32
          %27 = arith.addi %25, %26 : i32
          llvm.store %27, %9 : i32, !llvm.ptr
          cf.br ^bb14
        ^bb13:
          %28 = llvm.load %6 : !llvm.ptr -> i32
          %29 = arith.constant 1 : i32
          %30 = arith.addi %28, %29 : i32
          llvm.store %30, %6 : i32, !llvm.ptr
          cf.br ^bb14
        ^bb14:
        cf.br ^bb11
      ^bb10:
        cf.br ^bb11
      ^bb11:
      %31 = llvm.load %11 : !llvm.ptr -> i32
      %32 = arith.constant 1 : i32
      %33 = arith.addi %31, %32 : i32
      llvm.store %33, %11 : i32, !llvm.ptr
      cf.br ^bb6
    ^bb8:
    %34 = llvm.load %6 : !llvm.ptr -> i32
    %35 = llvm.load %9 : !llvm.ptr -> i32
    %36 = arith.addi %34, %35 : i32
    %37 = arith.constant 0 : i32
    %38 = arith.cmpi eq, %36, %37 : i32
    cf.cond_br %38, ^bb15, ^bb16
    ^bb15:
      func.return
    ^bb16:
      cf.br ^bb17
    ^bb17:
    %39 = llvm.load %6 : !llvm.ptr -> i32
    %40 = llvm.load %9 : !llvm.ptr -> i32
    %41 = arith.cmpi sgt, %39, %40 : i32
    cf.cond_br %41, ^bb18, ^bb19
    ^bb18:
      %42 = llvm.mlir.addressof @total_points : !llvm.ptr
      %43 = llvm.load %42 : !llvm.ptr -> i64
      %44 = llvm.load %6 : !llvm.ptr -> i32
      %45 = arith.extsi %44 : i32 to i64
      %46 = arith.addi %43, %45 : i64
      %47 = llvm.mlir.addressof @total_points : !llvm.ptr
      llvm.store %46, %47 : i64, !llvm.ptr
      cf.br ^bb20
    ^bb19:
      %48 = llvm.mlir.addressof @total_points : !llvm.ptr
      %49 = llvm.load %48 : !llvm.ptr -> i64
      %50 = llvm.load %9 : !llvm.ptr -> i32
      %51 = arith.extsi %50 : i32 to i64
      %52 = arith.addi %49, %51 : i64
      %53 = llvm.mlir.addressof @total_points : !llvm.ptr
      llvm.store %52, %53 : i64, !llvm.ptr
      cf.br ^bb20
    ^bb20:
    %54 = arith.constant 0 : i32
    %55 = llvm.load %6 : !llvm.ptr -> i32
    %56 = llvm.load %6 : !llvm.ptr -> i32
    %57 = llvm.load %9 : !llvm.ptr -> i32
    %58 = arith.addi %56, %57 : i32
    llvm.store %arg1, %11 : i32, !llvm.ptr
    cf.br ^bb21(%58, %55, %54 : i32, i32, i32)
    ^bb21(%59: i32, %60: i32, %61: i32):
    %62 = llvm.load %11 : !llvm.ptr -> i32
    %63 = arith.cmpi slt, %62, %arg2 : i32
    cf.cond_br %63, ^bb22(%59, %60, %61 : i32, i32, i32), ^bb23(%59, %60, %61 : i32, i32, i32)
    ^bb22(%64: i32, %65: i32, %66: i32):
      %68 = llvm.load %11 : !llvm.ptr -> i32
      %69 = arith.extsi %68 : i32 to i64
      %70 = llvm.getelementptr %arg0[%69] : (!llvm.ptr, i64) -> !llvm.ptr, i32
      %67 = llvm.load %70 : !llvm.ptr -> i32
      %71 = arith.shrsi %67, %arg3 : i32
      %72 = arith.constant 0 : i32
      %73 = arith.cmpi eq, %71, %72 : i32
      cf.cond_br %73, ^bb24, ^bb25
      ^bb24:
        %75 = llvm.load %11 : !llvm.ptr -> i32
        %76 = arith.extsi %75 : i32 to i64
        %77 = llvm.getelementptr %arg0[%76] : (!llvm.ptr, i64) -> !llvm.ptr, i32
        %74 = llvm.load %77 : !llvm.ptr -> i32
        %78 = llvm.mlir.addressof @tmpbuf : !llvm.ptr
        %79 = llvm.load %78 : !llvm.ptr -> !llvm.ptr
        %80 = arith.extsi %64 : i32 to i64
        %81 = llvm.getelementptr %79[%80] : (!llvm.ptr, i64) -> !llvm.ptr, i32
        llvm.store %74, %81 : i32, !llvm.ptr
        %82 = arith.constant 1 : i32
        %83 = arith.addi %64, %82 : i32
        cf.br ^bb26(%83, %65, %66 : i32, i32, i32)
      ^bb25:
        %84 = arith.constant 1 : i32
        %85 = arith.andi %71, %84 : i32
        %86 = arith.constant 0 : i32
        %87 = arith.cmpi ne, %85, %86 : i32
        %88, %89 = scf.if %87 -> (i32, i32) {
          %91 = llvm.load %11 : !llvm.ptr -> i32
          %92 = arith.extsi %91 : i32 to i64
          %93 = llvm.getelementptr %arg0[%92] : (!llvm.ptr, i64) -> !llvm.ptr, i32
          %90 = llvm.load %93 : !llvm.ptr -> i32
          %94 = llvm.mlir.addressof @tmpbuf : !llvm.ptr
          %95 = llvm.load %94 : !llvm.ptr -> !llvm.ptr
          %96 = arith.extsi %65 : i32 to i64
          %97 = llvm.getelementptr %95[%96] : (!llvm.ptr, i64) -> !llvm.ptr, i32
          llvm.store %90, %97 : i32, !llvm.ptr
          %98 = arith.constant 1 : i32
          %99 = arith.addi %65, %98 : i32
          scf.yield %99, %66 : i32, i32
        } else {
          %101 = llvm.load %11 : !llvm.ptr -> i32
          %102 = arith.extsi %101 : i32 to i64
          %103 = llvm.getelementptr %arg0[%102] : (!llvm.ptr, i64) -> !llvm.ptr, i32
          %100 = llvm.load %103 : !llvm.ptr -> i32
          %104 = llvm.mlir.addressof @tmpbuf : !llvm.ptr
          %105 = llvm.load %104 : !llvm.ptr -> !llvm.ptr
          %106 = arith.extsi %66 : i32 to i64
          %107 = llvm.getelementptr %105[%106] : (!llvm.ptr, i64) -> !llvm.ptr, i32
          llvm.store %100, %107 : i32, !llvm.ptr
          %108 = arith.constant 1 : i32
          %109 = arith.addi %66, %108 : i32
          scf.yield %65, %109 : i32, i32
        }
        cf.br ^bb26(%64, %88, %89 : i32, i32, i32)
      ^bb26(%110: i32, %111: i32, %112: i32):
      %113 = llvm.load %11 : !llvm.ptr -> i32
      %114 = arith.constant 1 : i32
      %115 = arith.addi %113, %114 : i32
      llvm.store %115, %11 : i32, !llvm.ptr
      cf.br ^bb21(%110, %111, %112 : i32, i32, i32)
    ^bb23(%116: i32, %117: i32, %118: i32):
    %119 = arith.subi %arg2, %arg1 : i32
    %120 = arith.extsi %119 : i32 to i64
    %121 = arith.constant 0 : i32
    %122 = llvm.mlir.constant(1 : i64) : i64
    %123 = llvm.alloca %122 x i32 : (i64) -> !llvm.ptr
    llvm.store %121, %123 : i32, !llvm.ptr
    cf.br ^bb27
    ^bb27:
    %124 = llvm.load %123 : !llvm.ptr -> i32
    %125 = arith.subi %arg2, %arg1 : i32
    %126 = arith.cmpi slt, %124, %125 : i32
    cf.cond_br %126, ^bb28, ^bb29
    ^bb28:
      %128 = llvm.mlir.addressof @tmpbuf : !llvm.ptr
      %129 = llvm.load %128 : !llvm.ptr -> !llvm.ptr
      %130 = llvm.load %123 : !llvm.ptr -> i32
      %131 = arith.extsi %130 : i32 to i64
      %132 = llvm.getelementptr %129[%131] : (!llvm.ptr, i64) -> !llvm.ptr, i32
      %127 = llvm.load %132 : !llvm.ptr -> i32
      %133 = llvm.load %123 : !llvm.ptr -> i32
      %134 = arith.addi %arg1, %133 : i32
      %135 = arith.extsi %134 : i32 to i64
      %136 = llvm.getelementptr %arg0[%135] : (!llvm.ptr, i64) -> !llvm.ptr, i32
      llvm.store %127, %136 : i32, !llvm.ptr
      %137 = llvm.load %123 : !llvm.ptr -> i32
      %138 = arith.constant 1 : i32
      %139 = arith.addi %137, %138 : i32
      llvm.store %139, %123 : i32, !llvm.ptr
      cf.br ^bb27
    ^bb29:
    %140 = llvm.load %6 : !llvm.ptr -> i32
    %141 = arith.addi %arg1, %140 : i32
    %142 = llvm.load %9 : !llvm.ptr -> i32
    %143 = arith.addi %141, %142 : i32
    %145 = arith.constant 1 : i32
    %146 = arith.addi %arg3, %145 : i32
    func.call @calc_points(%arg0, %arg1, %141, %146) : (!llvm.ptr, i32, i32, i32) -> ()
    %148 = arith.constant 1 : i32
    %149 = arith.addi %arg3, %148 : i32
    func.call @calc_points(%arg0, %141, %143, %149) : (!llvm.ptr, i32, i32, i32) -> ()
    func.return
  }
  func.func @main() -> i32 {
    %151 = llvm.mlir.addressof @N : !llvm.ptr
    %152 = llvm.load %151 : !llvm.ptr -> i64
    %153 = arith.constant 1 : i32
    %155 = arith.extsi %153 : i32 to i64
    %154 = arith.addi %152, %155 : i64
    %156 = arith.constant 1 : i32
    %157 = arith.extsi %156 : i32 to i64
    %150 = func.call @calloc(%154, %157) : (i64, i64) -> !llvm.ptr
    %159 = arith.constant 1 : i32
    %160 = llvm.mlir.addressof @N : !llvm.ptr
    %161 = llvm.load %160 : !llvm.ptr -> i64
    %162 = arith.constant 1 : i32
    %164 = arith.extsi %162 : i32 to i64
    %163 = arith.addi %161, %164 : i64
    func.call @memset(%150, %159, %163) : (!llvm.ptr, i32, i64) -> ()
    %165 = arith.constant 0 : i32
    %166 = arith.constant 0 : i32
    %167 = arith.trunci %165 : i32 to i8
    %168 = arith.extsi %166 : i32 to i64
    %169 = llvm.getelementptr %150[%168] : (!llvm.ptr, i64) -> !llvm.ptr, i8
    llvm.store %167, %169 : i8, !llvm.ptr
    %170 = arith.constant 0 : i32
    %171 = arith.constant 1 : i32
    %172 = arith.trunci %170 : i32 to i8
    %173 = arith.extsi %171 : i32 to i64
    %174 = llvm.getelementptr %150[%173] : (!llvm.ptr, i64) -> !llvm.ptr, i8
    llvm.store %172, %174 : i8, !llvm.ptr
    %175 = llvm.mlir.addressof @N : !llvm.ptr
    %176 = llvm.load %175 : !llvm.ptr -> i64
    %177 = arith.sitofp %176 : i64 to f64
    %178 = math.sqrt %177 : f64
    %179 = arith.fptosi %178 : f64 to i32
    %180 = arith.constant 2 : i32
    %181 = llvm.mlir.constant(1 : i64) : i64
    %182 = llvm.alloca %181 x i32 : (i64) -> !llvm.ptr
    llvm.store %180, %182 : i32, !llvm.ptr
    cf.br ^bb30
    ^bb30:
    %183 = llvm.load %182 : !llvm.ptr -> i32
    %184 = arith.cmpi sle, %183, %179 : i32
    cf.cond_br %184, ^bb31, ^bb32
    ^bb31:
      %186 = llvm.load %182 : !llvm.ptr -> i32
      %187 = arith.extsi %186 : i32 to i64
      %188 = llvm.getelementptr %150[%187] : (!llvm.ptr, i64) -> !llvm.ptr, i8
      %185 = llvm.load %188 : !llvm.ptr -> i8
      %189 = arith.constant 0 : i32
      %191 = arith.extsi %185 : i8 to i32
      %190 = arith.cmpi ne, %191, %189 : i32
      cf.cond_br %190, ^bb33, ^bb34
      ^bb33:
        %192 = llvm.load %182 : !llvm.ptr -> i32
        %193 = llvm.load %182 : !llvm.ptr -> i32
        %194 = arith.muli %192, %193 : i32
        %195 = llvm.mlir.constant(1 : i64) : i64
        %196 = llvm.alloca %195 x i32 : (i64) -> !llvm.ptr
        llvm.store %194, %196 : i32, !llvm.ptr
        cf.br ^bb36
        ^bb36:
        %197 = llvm.load %196 : !llvm.ptr -> i32
        %198 = llvm.mlir.addressof @N : !llvm.ptr
        %199 = llvm.load %198 : !llvm.ptr -> i64
        %200 = arith.trunci %199 : i64 to i32
        %201 = arith.cmpi sle, %197, %200 : i32
        cf.cond_br %201, ^bb37, ^bb38
        ^bb37:
          %202 = arith.constant 0 : i32
          %203 = llvm.load %196 : !llvm.ptr -> i32
          %204 = arith.trunci %202 : i32 to i8
          %205 = arith.extsi %203 : i32 to i64
          %206 = llvm.getelementptr %150[%205] : (!llvm.ptr, i64) -> !llvm.ptr, i8
          llvm.store %204, %206 : i8, !llvm.ptr
          %207 = llvm.load %196 : !llvm.ptr -> i32
          %208 = llvm.load %182 : !llvm.ptr -> i32
          %209 = arith.addi %207, %208 : i32
          llvm.store %209, %196 : i32, !llvm.ptr
          cf.br ^bb36
        ^bb38:
        cf.br ^bb35
      ^bb34:
        cf.br ^bb35
      ^bb35:
      %210 = llvm.load %182 : !llvm.ptr -> i32
      %211 = arith.constant 1 : i32
      %212 = arith.addi %210, %211 : i32
      llvm.store %212, %182 : i32, !llvm.ptr
      cf.br ^bb30
    ^bb32:
    %213 = arith.constant 0 : i32
    %214 = llvm.mlir.constant(1 : i64) : i64
    %215 = llvm.alloca %214 x i32 : (i64) -> !llvm.ptr
    llvm.store %213, %215 : i32, !llvm.ptr
    %216 = arith.constant 2 : i32
    llvm.store %216, %182 : i32, !llvm.ptr
    cf.br ^bb39
    ^bb39:
    %217 = llvm.load %182 : !llvm.ptr -> i32
    %218 = llvm.mlir.addressof @N : !llvm.ptr
    %219 = llvm.load %218 : !llvm.ptr -> i64
    %220 = arith.trunci %219 : i64 to i32
    %221 = arith.cmpi sle, %217, %220 : i32
    cf.cond_br %221, ^bb40, ^bb41
    ^bb40:
      %223 = llvm.load %182 : !llvm.ptr -> i32
      %224 = arith.extsi %223 : i32 to i64
      %225 = llvm.getelementptr %150[%224] : (!llvm.ptr, i64) -> !llvm.ptr, i8
      %222 = llvm.load %225 : !llvm.ptr -> i8
      %226 = arith.constant 0 : i32
      %228 = arith.extsi %222 : i8 to i32
      %227 = arith.cmpi ne, %228, %226 : i32
      cf.cond_br %227, ^bb42, ^bb43
      ^bb42:
        %229 = llvm.load %215 : !llvm.ptr -> i32
        %230 = arith.constant 1 : i32
        %231 = arith.addi %229, %230 : i32
        llvm.store %231, %215 : i32, !llvm.ptr
        cf.br ^bb44
      ^bb43:
        cf.br ^bb44
      ^bb44:
      %232 = llvm.load %182 : !llvm.ptr -> i32
      %233 = arith.constant 1 : i32
      %234 = arith.addi %232, %233 : i32
      llvm.store %234, %182 : i32, !llvm.ptr
      cf.br ^bb39
    ^bb41:
    %236 = llvm.load %215 : !llvm.ptr -> i32
    %237 = arith.extsi %236 : i32 to i64
    %238 = arith.constant 4 : i32
    %239 = arith.extsi %238 : i32 to i64
    %235 = func.call @calloc(%237, %239) : (i64, i64) -> !llvm.ptr
    %240 = arith.constant 0 : i32
    %241 = llvm.mlir.constant(1 : i64) : i64
    %242 = llvm.alloca %241 x i32 : (i64) -> !llvm.ptr
    llvm.store %240, %242 : i32, !llvm.ptr
    %243 = arith.constant 2 : i32
    llvm.store %243, %182 : i32, !llvm.ptr
    cf.br ^bb45
    ^bb45:
    %244 = llvm.load %182 : !llvm.ptr -> i32
    %245 = llvm.mlir.addressof @N : !llvm.ptr
    %246 = llvm.load %245 : !llvm.ptr -> i64
    %247 = arith.trunci %246 : i64 to i32
    %248 = arith.cmpi sle, %244, %247 : i32
    cf.cond_br %248, ^bb46, ^bb47
    ^bb46:
      %250 = llvm.load %182 : !llvm.ptr -> i32
      %251 = arith.extsi %250 : i32 to i64
      %252 = llvm.getelementptr %150[%251] : (!llvm.ptr, i64) -> !llvm.ptr, i8
      %249 = llvm.load %252 : !llvm.ptr -> i8
      %253 = arith.constant 0 : i32
      %255 = arith.extsi %249 : i8 to i32
      %254 = arith.cmpi ne, %255, %253 : i32
      cf.cond_br %254, ^bb48, ^bb49
      ^bb48:
        %256 = llvm.load %182 : !llvm.ptr -> i32
        %257 = llvm.load %242 : !llvm.ptr -> i32
        %258 = arith.extsi %257 : i32 to i64
        %259 = llvm.getelementptr %235[%258] : (!llvm.ptr, i64) -> !llvm.ptr, i32
        llvm.store %256, %259 : i32, !llvm.ptr
        %260 = llvm.load %242 : !llvm.ptr -> i32
        %261 = arith.constant 1 : i32
        %262 = arith.addi %260, %261 : i32
        llvm.store %262, %242 : i32, !llvm.ptr
        cf.br ^bb50
      ^bb49:
        cf.br ^bb50
      ^bb50:
      %263 = llvm.load %182 : !llvm.ptr -> i32
      %264 = arith.constant 1 : i32
      %265 = arith.addi %263, %264 : i32
      llvm.store %265, %182 : i32, !llvm.ptr
      cf.br ^bb45
    ^bb47:
    func.call @free(%150) : (!llvm.ptr) -> ()
    %268 = llvm.load %215 : !llvm.ptr -> i32
    %269 = arith.extsi %268 : i32 to i64
    %270 = arith.constant 4 : i32
    %271 = arith.extsi %270 : i32 to i64
    %267 = func.call @calloc(%269, %271) : (i64, i64) -> !llvm.ptr
    %272 = llvm.mlir.addressof @tmpbuf : !llvm.ptr
    llvm.store %267, %272 : !llvm.ptr, !llvm.ptr
    %273 = arith.constant 0 : i32
    %274 = arith.extsi %273 : i32 to i64
    %275 = llvm.mlir.addressof @total_points : !llvm.ptr
    llvm.store %274, %275 : i64, !llvm.ptr
    %277 = arith.constant 0 : i32
    %278 = llvm.load %215 : !llvm.ptr -> i32
    %279 = arith.constant 0 : i32
    func.call @calc_points(%235, %277, %278, %279) : (!llvm.ptr, i32, i32, i32) -> ()
    %280 = llvm.mlir.addressof @total_points : !llvm.ptr
    %281 = llvm.load %280 : !llvm.ptr -> i64
    %282 = arith.sitofp %281 : i64 to f64
    %283 = llvm.load %215 : !llvm.ptr -> i32
    %284 = arith.sitofp %283 : i32 to f64
    %285 = arith.divf %282, %284 : f64
    %286 = llvm.mlir.addressof @str_0 : !llvm.ptr
    %287 = llvm.call @printf(%286, %285) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, f64) -> i32
    func.call @free(%235) : (!llvm.ptr) -> ()
    %290 = llvm.mlir.addressof @tmpbuf : !llvm.ptr
    %291 = llvm.load %290 : !llvm.ptr -> !llvm.ptr
    func.call @free(%291) : (!llvm.ptr) -> ()
    %292 = arith.constant 0 : i32
    func.return %292 : i32
  }
}