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]])
	}
}

Python: def solve():
    rec = [1000000] * 1000000
    rec[0] = 0
    odd_rec = rec.copy()
    
    for i in range(1, 181):
        t = i * (i + 1) * (i + 2) // 6
        for i, tpl in enumerate(zip(rec[t:t*3+1], rec), start=t):
            a, b = tpl
            b += 1
            if b < a:
                rec[i] = b
        if t % 2:
            for i, tpl in enumerate(zip(odd_rec[t:t*34+1], odd_rec), start=t):
                a, b = tpl
                b += 1
                if b < a:
                    odd_rec[i] = b
    
    import sys
    file_input = sys.stdin
    n = int(file_input.readline())
    while n:
        print(rec[n], odd_rec[n])
        n = int(file_input.readline())

solve()

Python: MAX = 1000000
tetra = []
dp = [0] * (MAX+1)
dpodd = [0] * (MAX+1)

for i in range(1,MAX+1):
    dp[i] = i
    dpodd[i] = i


i = 0
while True:
    i += 1
    t = i * (i+1) * (i+2) // 6
    if t > MAX: break
    tetra.append(t)

for p in tetra:
    #print(p)
    for i in range(0,MAX-p):
        dp[i+p] = min(dp[i+p], dp[i]+1)
        if p % 2 == 1:
            dpodd[i+p] = min(dpodd[i+p], dpodd[i]+1)

while True:
    n = int(raw_input())
    if n == 0: break
    print (dp[n],dpodd[n])

Python: def solve():
    rec = list(range(1000000))
    odd_rec = rec.copy()
    
    for i in range(2, 181):
        t = i * (i + 1) * (i + 2) // 6
        if t % 2 == 0:
            for i, tpl in enumerate(zip(rec[t:], rec), start=t):
                a, b = tpl
                b += 1
                if a < b:
                    rec[i] = a
                else:
                    rec[i] = b
        else:
            z_rec = zip(rec[t:], rec, odd_rec[t:], odd_rec)
            for i, tpl in enumerate(z_rec, start=t):
                a, b, c, d = tpl
                b += 1
                if a < b:
                    rec[i] = a
                else:
                    rec[i] = b
                d += 1
                if c < d:
                    odd_rec[i] = c
                else:
                    odd_rec[i] = d
    
    import sys
    file_input = sys.stdin
    n = int(file_input.readline())
    while n:
        print(rec[n], odd_rec[n])
        n = int(file_input.readline())

solve()

Python: def solve():
    rec = [1000000] * 1000000
    rec[0] = 0
    odd_rec = rec.copy()
    
    for i in range(1, 181):
        t = i * (i + 1) * (i + 2) // 6
        for i, tpl in enumerate(zip(rec[t:t*4], rec), start=t):
            a, b = tpl
            b += 1
            if b < a:
                rec[i] = b
        if t % 2:
            for i, tpl in enumerate(zip(odd_rec[t:t*35], odd_rec), start=t):
                a, b = tpl
                b += 1
                if b < a:
                    odd_rec[i] = b
    
    import sys
    file_input = sys.stdin
    n = int(file_input.readline())
    while n:
        print(rec[n], odd_rec[n])
        n = int(file_input.readline())

solve()

Python: def solve():
    rec = [1000000] * 1000000
    rec[0] = 0
    odd_rec = rec.copy()
    
    for i in range(1, 181):
        t = i * (i + 1) * (i + 2) // 6
        for i, tpl in enumerate(zip(rec[t:t*3+1], rec), start=t):
            a, b = tpl
            b += 1
            if b < a:
                rec[i] = b
        if t % 2:
            for i, tpl in enumerate(zip(odd_rec[t:t*34+1], odd_rec), start=t):
                a, b = tpl
                b += 1
                if b < a:
                    odd_rec[i] = b
    
    import sys
    file_input = sys.stdin
    n = int(file_input.readline())
    while n:
        print(rec[n], odd_rec[n])
        n = int(file_input.readline())

solve()

Python: from itertools import takewhile,count
from time import perf_counter as timer

M = 10**6
nums = tuple(takewhile(lambda x: x < M, (m*(m+1)*(m+2)//6 for m in count(1))))
odds = tuple(v for v in nums if v % 2)

dp0 = [(M,M)]*M
dp0[0] = (0,0)
for v,(c,i0) in enumerate(dp0):
    c += 1
    for i,n in enumerate(nums[-i0:],start=-i0):
        x = v+n
        if x >= M:
            break
        dp0[x] = min((c,-i),dp0[x])

dp1 = [(M,M)]*M
dp1[0] = (0,0)
for v,(c,i0) in enumerate(dp1):
    c += 1
    for i,n in enumerate(odds[-i0:],start=-i0):
        x = v+n
        if x >= M:
            break
        dp1[x] = min((c,-i),dp1[x])


x = int(input())
while x != 0:
    print(dp0[x][0],dp1[x][0])
    x = int(input())

Python: def pollockConjection():
    inf=int(1e6)
    dp=list(range(0,inf+1))
    odp=list(range(0,inf+1))
    n=2
    s=1
    os=1
    while s<inf+1:
        s=n*(n+1)*(n+2)//6
        n+=1
        if s%2==1:
            os=s
        for i in range(0,inf+1-s):
            dp[i+s]=min(dp[i+s],dp[i]+1)
            odp[i+os]=min(odp[i+os],odp[i]+1)
    return dp,odp

if __name__=="__main__":
    dp,odp=pollockConjection()
    while True:
        N=int(input())
        if N==0:
            break
        print(dp[N],odp[N])