Go: package main

import (
	"bufio"
	_ "container/heap"
	"fmt"
	"os"
	_ "sort"
	"strconv"
)

// I/O
type Scanner struct {
	sc *bufio.Scanner
}

func NewScanner() *Scanner {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)
	sc.Buffer(make([]byte, 1024), int(1e+9))
	return &Scanner{sc}
}

func (s *Scanner) nextStr() string {
	s.sc.Scan()
	return s.sc.Text()
}

func (s *Scanner) nextInt() int {
	i, e := strconv.Atoi(s.nextStr())
	if e != nil {
		panic(e)
	}
	return i
}

func (s *Scanner) nextFloat() float64 {
	f, e := strconv.ParseFloat(s.nextStr(), 64)
	if e != nil {
		panic(e)
	}
	return f
}

func (s *Scanner) nextRuneSlice() []rune {
	return []rune(s.nextStr())
}

func (s *Scanner) nextIntSlice(n int) []int {
	res := make([]int, n)
	for i := 0; i < n; i++ {
		res[i] = s.nextInt()
	}
	return res
}

func (s *Scanner) nextFloatSlice(n int) []float64 {
	res := make([]float64, n)
	for i := 0; i < n; i++ {
		res[i] = s.nextFloat()
	}
	return res
}

// Arithmetic
func max(nums ...int) int {
	m := nums[0]
	for _, i := range nums {
		if m < i {
			m = i
		}
	}
	return m
}

func min(nums ...int) int {
	m := nums[0]
	for _, i := range nums {
		if m > i {
			m = i
		}
	}
	return m
}

func abs(x int) int {
	if x > 0 {
		return x
	}
	return -x
}

func pow(x, y int) int {
	res := 1
	for i := 0; i < y; i++ {
		res *= x
	}
	return res
}

func ceil(a, b int) int {
	if a%b == 0 {
		return a / b
	} else {
		return a/b + 1
	}
}

func gcd(a, b int) int {
	if b == 0 {
		return a
	}
	return gcd(b, a%b)
}

func lcm(a, b int) int {
	return a / gcd(a, b) * b
}

// Sort
type RuneSlice []rune

func (a RuneSlice) Len() int           { return len(a) }
func (a RuneSlice) Less(i, j int) bool { return a[i] < a[j] }
func (a RuneSlice) Swap(i, j int)      { a[i], a[j] = a[j], a[i] }

// Main
const MOD = int(1e+9) + 7
const INF = 1 << 60

func main() {
	sc := NewScanner()
	wtr := bufio.NewWriter(os.Stdout)
	defer wtr.Flush()
	var nums []int
	for i := 1; i < 2*100+1; i++ {
		nums = append(nums, i*(i+1)*(i+2)/6)
	}
	var ins []int
	N := 0
	for true {
		n := sc.nextInt()
		if n == 0 {
			break
		}
		ins = append(ins, n)
		N = max(N, n)
	}
	dp := make([]int, N+1)
	dp2 := make([]int, N+1)
	for i := 1; i < N+1; i++ {
		dp[i] = INF
		dp2[i] = INF
	}
	for i := 0; i < len(nums); i++ {
		n := nums[i]
		if n > N {
			break
		}
		for j := 0; j < N+1; j++ {
			if j >= n {
				dp[j] = min(dp[j], dp[j-n]+1)
				if n%2 != 0 {
					dp2[j] = min(dp2[j], dp2[j-n]+1)
				}
			}
		}
	}
	for i := 0; i < len(ins); i++ {
		fmt.Fprintln(wtr, dp[ins[i]], dp2[ins[i]])
	}
}

C++: #include <iostream>
using namespace std;

int main(void){
  
  int i, input, tetras[200] = {0}, ans[1000][2] = {{0}, {0}};
  int a = 0, b = 0; /* a, b???ans??????????????????????????? */

  /* ??£?????¢?????°?¨???? */
  for (i = 1; i < 200; i++) {
    tetras[i] = i * (i+1) * (i+2) / 6;
  }

  while (cin >> input) {
    if (input == 0) break;  /* input???0??§break */
    int temp = input; /* input??????????????? */
    int j = 1, min = input;
    /* tetras????????§input??\?????§????????§??????????????¢??? */
    while (tetras[j] <= input) j++;
    j--;
    int l = j; /* j ??????????????? */
      
    /* ?????????????????¢?????° */
    while (j > 1) {
        int n = 0;
        int k = j;
        while (input > 0) {
            /* tetras[k] > input???????£???°??? */
            if (tetras[k] > input) {
                k--;
                continue;
            }
            input -= tetras[k];
            if (input >= 0) {
                n++;
            } else {
                input += tetras[k];
                k--;
                continue;
            }
        }
        if (min > n) min = n;
        j--;
        input = temp;
    }
    ans[a][0] = min;
      
    /* ?\???°?????£?????¢?????°?????? */
    j = l;  /* j??????????????? */
    min = input; /* min??????????????? */
    while (j > 1) {
        /* ??¶??°?????£?????¢?????°????£???°??? */
        if (tetras[j] % 2 == 0) {
            j--;
            continue;
        }
        int n = 0;
        int k = j;
        while (input > 0) {
            /* ??¶??°?????£?????¢?????°????£???°??? */
            if (tetras[k] % 2 == 0 || tetras[k] > input) {
                k--;
                continue;
            }
            input -= tetras[k];
            if (input >= 0) {
                n++;
            } else {
                input += tetras[k];
                k--;
                continue;
            }
        }
        if (min > n) min = n;
        j--;
        input = temp;
    }
    ans[a][1] = min;
      
    a++;
  }

  for (b = 0; b < a; b++) {
    cout << ans[b][0] << ' ' << ans[b][1] << endl;
  }
  
  return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;
int main(){
  int i,j,k,b[1000001],c[1000001],a[200],n;
  for(i=0;a[i-1]<1000000;i++)a[i]=i*(i+1)*(i+2)/6;
  for(j=0;j<=1000000;j++)b[j]=c[j]=j;
  for(j=2;j<i;j++)for(k=a[j];k<=1000000;k++){
    if(j>b[k+1])break;
    b[k]=min(b[k],b[k-a[j]]+1);
    if(a[j]%2)c[k]=min(c[k],c[k-a[j]]+1);
  }
while(cin>>n,n)cout<<b[n]<<' '<<c[n]<<endl;
return 0;
}

C++: #include <bits/stdc++.h>

using namespace std;
typedef long long int ll;
typedef pair<int, int> P;
typedef pair<ll, ll> Pll;
typedef vector<int> Vi;
typedef tuple<int, int, int> T;
#define FOR(i,s,x) for(int i=s;i<(int)(x);i++)
#define REP(i,x) FOR(i,0,x)
#define ALL(c) c.begin(), c.end()
#define MP make_pair
#define DUMP( x ) cerr << #x << " = " << ( x ) << endl
#define fst first
#define snd second

#define INF 1000000

int t(int x) { return x*(x+1)*(x+2)/6; }

int dp[1000010];

int main() {
  ios_base::sync_with_stdio(false);

  Vi one, two, odd;
  for (int i = 1; t(i) <= 1000000; i++) {
    one.push_back(t(i));
    if (t(i)%2) odd.push_back(t(i));
  }

  for (int a : one) {
    for (int b : one) {
      two.push_back(a+b);
    }
  }
  sort(ALL(two));

  REP(i, 1000001) dp[i] = INF;
  dp[0] = 0;
  REP(i, 1000000) {
    for (int a : odd) {
      if (i+1-a >= 0)
	dp[i+1] = min(dp[i+1-a]+1, dp[i+1]);
    }
  }  

  while (1) {
    int n;
    cin >> n;
    if (n == 0) break;

    if (n == *lower_bound(ALL(one), n)) {
      cout << 1;
    } else if (n == *lower_bound(ALL(two), n)) {
      cout << 2;
    } else {
      bool flag = false;
      for (int a : one) {
	if (n - a == *lower_bound(ALL(two), n - a)) {
	  flag = true;
	  break;
	}
      }
      if (flag) {
	cout << 3;
      } else {
	for (int a : two) {
	  if (n - a == *lower_bound(ALL(two), n - a)) {
	    flag = true;
	    break;
	  }
	}
	cout << (flag ? 4 : 5);
      }
    }

    cout << ' ' << dp[n] << endl;

  }    
  return 0;
}