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 <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

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

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

  Vi one, odd, two;
  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));

  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);
      }
    }

    int cnt = 0;
    while (n > 0) {
      auto it = lower_bound(ALL(odd), n);
      if (n != *it) it--; 
      cnt += n / *it;
      n %= *it;
    }
    cout << ' ' << cnt << endl;
  }    
  return 0;
}

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

int main()
{
  for(;;){
    int x;
    cin >> x;

    if(x==0)
      break;

    int count=0;
    int count_ki=0;
    int tmp;
    /*for(int i=1;i<=x;i++){
      tmp=i*(i+1)*(i+2)/6;
      if(tmp>x)
	break;
      count++;
      if(tmp%2==1)
	count_ki++;
	}*/

    int coin[x];
    int coin_ki[x];
    fill(coin,coin + x + 1,-1);
    fill(coin_ki,coin_ki + x + 1,-1);
    int tmp2=0;
  
    for(int i=1;i<x;i++){
      coin[i-1]=i*(i+1)*(i+2)/6;
      count++;
      if(coin[i-1]%2==1){
	coin_ki[tmp2++]=coin[i-1];
	count_ki++;
      }
      if(coin[i-1]>x)break;
    }

    int dp[x+1];
    fill(dp,dp + x + 1,100000);
  

    /*for(int i=0;i<=x;i++)
      printf("dp[%d]=%d\n",i,dp[i]);
    */
    dp[0]=0;
    for(int i = 0;i<x+1;i++){
      for(int j=0;j<count;j++){
	if(i+coin[j]<=x){
	  dp[i+coin[j]]=min(dp[i+coin[j]],dp[i]+1);
	}
      }
    }

    cout << dp[x] << " ";
    fill(dp,dp + x + 1,100000);
  
    //printf("%d\n",count_ki);
    dp[0]=0;
    for(int i = 0;i<x+1;i++){
      for(int j=0;j<count_ki;j++){
	if(i+coin_ki[j]<=x){
	  dp[i+coin_ki[j]]=min(dp[i+coin_ki[j]],dp[i]+1);
	}
      }
    }
   
    cout << dp[x] << endl;
  
    ///*/
  }
}

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

const int Max = 1000000;

void update(vector<int> &v,int x){
  for(int i=x; i<Max; ++i){
    v[i] =min(v[i-x]+1,v[i]);
  }
}
 
int main(){
  vector<int> a(Max,Max);
  vector<int> o(Max,Max);

  a[0]=0;
  o[0]=0;
  for(int i=0;;++i){
    int tmp = i*(i+1)*(i+2)/6;
    if(tmp>Max)break;
    update(a,tmp);
    if(tmp&1)update(o,tmp);
  }
  int n;
  while(cin >> n,n){
    cout << a[n] << " " << o[n] << endl;
  }
  return 0;
}

C++: 
#include <iostream>

#define MAXNUM 1000001
#define MAX 100
using namespace std;

int all[MAXNUM], odd[MAXNUM], fourall[1000], fourodd[1000];

int main()
{
	int n;
	int counter = 0;

	//配列の初期化
	for (int i = 1; i < MAXNUM; i++){
		all[i] = MAX;
		odd[i] = MAX;

	}

	//1からMAXNUMまでの中に存在する正四面体数を洗い出す．
	int now = 0, four, allcounter = 1, oddcounter = 1;
	while (1){
		now++;
		four = now  *(now + 1)*(now + 2) / 6;
		all[four] = 1;
		fourall[allcounter++] = four;
		if (four % 2 == 1){
			odd[four] = 1;
			fourodd[oddcounter++] = four;
		}
		if (four > MAXNUM)
			break;

	}

	//1からMAXNUMまで，配列を埋める.
	for (int i = 1; i < MAXNUM; i++){
		for (int j = 1; i > fourall[j]; j++){
			all[i] = min(all[i], 1 + all[i - fourall[j]]);
		}
		for (int j = 1; i > fourodd[j]; j++){
			odd[i] = min(odd[i], 1 + odd[i - fourodd[j]]);
		}

	}


	//入力
	while (cin >> n, n)
		cout << all[n] << " " << odd[n] << endl;

	return 0;

}