#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("inline")
#include<bits/stdc++.h>
using namespace std;
#define MD (1000000007U)
struct Modint{
  unsigned val;
  Modint(){
    val=0;
  }
  Modint(int a){
    val = ord(a);
  }
  Modint(unsigned a){
    val = ord(a);
  }
  Modint(long long a){
    val = ord(a);
  }
  Modint(unsigned long long a){
    val = ord(a);
  }
  inline unsigned ord(unsigned a){
    return a%MD;
  }
  inline unsigned ord(int a){
    a %= (int)MD;
    if(a < 0){
      a += MD;
    }
    return a;
  }
  inline unsigned ord(unsigned long long a){
    return a%MD;
  }
  inline unsigned ord(long long a){
    a %= (int)MD;
    if(a < 0){
      a += MD;
    }
    return a;
  }
  inline unsigned get(){
    return val;
  }
  inline Modint &operator++(){
    val++;
    if(val >= MD){
      val -= MD;
    }
    return *this;
  }
  inline Modint &operator--(){
    if(val == 0){
      val = MD - 1;
    }
    else{
      --val;
    }
    return *this;
  }
  inline Modint operator++(int a){
    Modint res(*this);
    val++;
    if(val >= MD){
      val -= MD;
    }
    return res;
  }
  inline Modint operator--(int a){
    Modint res(*this);
    if(val == 0){
      val = MD - 1;
    }
    else{
      --val;
    }
    return res;
  }
  inline Modint &operator+=(Modint a){
    val += a.val;
    if(val >= MD){
      val -= MD;
    }
    return *this;
  }
  inline Modint &operator-=(Modint a){
    if(val < a.val){
      val = val + MD - a.val;
    }
    else{
      val -= a.val;
    }
    return *this;
  }
  inline Modint &operator*=(Modint a){
    val = ((unsigned long long)val*a.val)%MD;
    return *this;
  }
  inline Modint &operator/=(Modint a){
    return *this *= a.inverse();
  }
  inline Modint operator+(Modint a){
    return Modint(*this)+=a;
  }
  inline Modint operator-(Modint a){
    return Modint(*this)-=a;
  }
  inline Modint operator*(Modint a){
    return Modint(*this)*=a;
  }
  inline Modint operator/(Modint a){
    return Modint(*this)/=a;
  }
  inline Modint operator+(int a){
    return Modint(*this)+=Modint(a);
  }
  inline Modint operator-(int a){
    return Modint(*this)-=Modint(a);
  }
  inline Modint operator*(int a){
    return Modint(*this)*=Modint(a);
  }
  inline Modint operator/(int a){
    return Modint(*this)/=Modint(a);
  }
  inline Modint operator+(long long a){
    return Modint(*this)+=Modint(a);
  }
  inline Modint operator-(long long a){
    return Modint(*this)-=Modint(a);
  }
  inline Modint operator*(long long a){
    return Modint(*this)*=Modint(a);
  }
  inline Modint operator/(long long a){
    return Modint(*this)/=Modint(a);
  }
  inline Modint operator-(void){
    Modint res;
    if(val){
      res.val=MD-val;
    }
    else{
      res.val=0;
    }
    return res;
  }
  inline operator bool(void){
    return val!=0;
  }
  inline operator int(void){
    return get();
  }
  inline operator long long(void){
    return get();
  }
  inline Modint inverse(){
    int a = val;
    int b = MD;
    int u = 1;
    int v = 0;
    int t;
    Modint res;
    while(b){
      t = a / b;
      a -= t * b;
      swap(a, b);
      u -= t * v;
      swap(u, v);
    }
    if(u < 0){
      u += MD;
    }
    res.val = u;
    return res;
  }
  inline Modint pw(unsigned long long b){
    Modint a(*this);
    Modint res;
    res.val = 1;
    while(b){
      if(b&1){
        res *= a;
      }
      b >>= 1;
      a *= a;
    }
    return res;
  }
  inline bool operator==(int a){
    return ord(a)==val;
  }
  inline bool operator!=(int a){
    return ord(a)!=val;
  }
}
;
inline Modint operator+(int a, Modint b){
  return Modint(a)+=b;
}
inline Modint operator-(int a, Modint b){
  return Modint(a)-=b;
}
inline Modint operator*(int a, Modint b){
  return Modint(a)*=b;
}
inline Modint operator/(int a, Modint b){
  return Modint(a)/=b;
}
inline Modint operator+(long long a, Modint b){
  return Modint(a)+=b;
}
inline Modint operator-(long long a, Modint b){
  return Modint(a)-=b;
}
inline Modint operator*(long long a, Modint b){
  return Modint(a)*=b;
}
inline Modint operator/(long long a, Modint b){
  return Modint(a)/=b;
}
inline int my_getchar_unlocked(){
  static char buf[1048576];
  static int s = 1048576;
  static int e = 1048576;
  if(s == e && e == 1048576){
    e = fread_unlocked(buf, 1, 1048576, stdin);
    s = 0;
  }
  if(s == e){
    return EOF;
  }
  return buf[s++];
}
struct MY_WRITER{
  char buf[1048576];
  int s;
  int e;
  MY_WRITER(){
    s = 0;
    e = 1048576;
  }
  ~MY_WRITER(){
    if(s){
      fwrite_unlocked(buf, 1, s, stdout);
    }
  }
}
;
MY_WRITER MY_WRITER_VAR;
void my_putchar_unlocked(int a){
  if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){
    fwrite_unlocked(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout);
    MY_WRITER_VAR.s = 0;
  }
  MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a;
}
inline void wt_L(char a){
  my_putchar_unlocked(a);
}
inline void wt_L(int x){
  int s=0;
  int m=0;
  char f[10];
  if(x<0){
    m=1;
    x=-x;
  }
  while(x){
    f[s++]=x%10;
    x/=10;
  }
  if(!s){
    f[s++]=0;
  }
  if(m){
    my_putchar_unlocked('-');
  }
  while(s--){
    my_putchar_unlocked(f[s]+'0');
  }
}
inline void wt_L(Modint x){
  int i;
  i = (int)x;
  wt_L(i);
}
long long cReader_ll(long long mn, long long mx, char nx){
  int i;
  int fg = 0;
  int m = 1;
  int f = -1;
  long long res = 0;
  double tmp = 0;
  for(;;){
    i = my_getchar_unlocked();
    if(fg==0 && i=='-'){
      fg++;
      m = -1;
    }
    else if('0' <= i  &&  i <= '9'){
      fg++;
      if(f == -1){
        f = i - '0';
      }
      res = 10 * res + i - '0';
      tmp = 10 * tmp + i - '0';
      assert(tmp < 1e20);
    }
    else{
      break;
    }
  }
  assert(tmp / 2 <= res);
  assert((m==1 && fg >= 1) || (m==-1 && fg >= 2));
  assert(mn <= m * res  &&  m * res <= mx);
  assert(!(res == 0 && m == -1));
  assert(!(res != 0 && f == 0));
  assert(!(res == 0 && fg >= 2));
  assert(i == nx);
  return m * res;
}
void cReader_eof(){
  int i;
  i = my_getchar_unlocked();
  assert(i == EOF);
}
int A;
int B;
int C;
int N;
Modint dp[51][51][51];
Modint p[51][151];
Modint tmp;
Modint res[3];
int main(){
  int cTE1_r3A, i;
  A = cReader_ll(1, 50, ' ');
  B = cReader_ll(1, 50, ' ');
  C = cReader_ll(1, 50, ' ');
  N = cReader_ll(1, 50, '\n');
  cReader_eof();
  for(i=(1);i<(51);i++){
    int j;
    for(j=(3);j<(151);j++){
      p[i][j] = ((Modint) i * (i-1)) / ((Modint) j * (j-1));
    }
  }
  dp[A][B][C] = 1;
  for(cTE1_r3A=(0);cTE1_r3A<(N);cTE1_r3A++){
    for(i=(1);i<(A+1);i++){
      int j;
      for(j=(1);j<(B+1);j++){
        int k;
        for(k=(1);k<(C+1);k++){
          tmp = dp[i][j][k];
          dp[i-1][j][k] += tmp * p[i][i+j+k];
          dp[i][j-1][k] += tmp * p[j][i+j+k];
          dp[i][j][k-1] += tmp * p[k][i+j+k];
          dp[i][j][k] -= tmp * (p[i][i+j+k] + p[j][i+j+k] + p[k][i+j+k]);
        }
      }
    }
  }
  for(i=(1);i<(A+1);i++){
    int j;
    for(j=(1);j<(B+1);j++){
      int k;
      for(k=(1);k<(C+1);k++){
        res[0] += (A-i) * dp[i][j][k];
        res[1] += (B-j) * dp[i][j][k];
        res[2] += (C-k) * dp[i][j][k];
      }
    }
  }
  {
    int jbtyPBGc;
    if(3==0){
      wt_L('\n');
    }
    else{
      for(jbtyPBGc=(0);jbtyPBGc<(3-1);jbtyPBGc++){
        wt_L(res[jbtyPBGc]);
        wt_L(' ');
      }
      wt_L(res[jbtyPBGc]);
      wt_L('\n');
    }
  }
  {
    Modint chk1;
    Modint chk2;
    string s1 = "3452192328044966520392806880021097467";
    string s2 = "1921444247213913479420805120000000000";
    string s3 = "1171514706712320746421671594290613233";
    string s4 = "1097968141265093416811888640000000000";
    string s5 = "5105000684786014790930854501796258921";
    string s6 = "11528665483283480876524830720000000000";
    chk1 = chk2 = 0;
    for(i=(0);i<(s1.size());i++){
      chk1 = chk1 * 10 + s1[i] - '0';
    }
    for(i=(0);i<(s2.size());i++){
      chk2 = chk2 * 10 + s2[i] - '0';
    }
    wt_L(chk1 / chk2);
    wt_L('\n');
    chk1 = chk2 = 0;
    for(i=(0);i<(s3.size());i++){
      chk1 = chk1 * 10 + s3[i] - '0';
    }
    for(i=(0);i<(s4.size());i++){
      chk2 = chk2 * 10 + s4[i] - '0';
    }
    wt_L(chk1 / chk2);
    wt_L('\n');
    chk1 = chk2 = 0;
    for(i=(0);i<(s5.size());i++){
      chk1 = chk1 * 10 + s5[i] - '0';
    }
    for(i=(0);i<(s6.size());i++){
      chk2 = chk2 * 10 + s6[i] - '0';
    }
    wt_L(chk1 / chk2);
    wt_L('\n');
  }
  return 0;
}
// cLay version 20210819-1 [beta]

// --- original code ---
// int A, B, C, N;
// Modint dp[51][51][51], p[51][151], tmp, res[3];
// {
//   A = cReader_ll(1, 50, ' ');
//   B = cReader_ll(1, 50, ' ');
//   C = cReader_ll(1, 50, ' ');
//   N = cReader_ll(1, 50, '\n');
//   cReader_eof();
//   rep(i,1,51) rep(j,3,151) p[i][j] = ((Modint) i * (i-1)) / ((Modint) j * (j-1));
//   dp[A][B][C] = 1;
//   rep(N){
//     rep(i,1,A+1) rep(j,1,B+1) rep(k,1,C+1){
//       tmp = dp[i][j][k];
//       dp[i-1][j][k] += tmp * p[i][i+j+k];
//       dp[i][j-1][k] += tmp * p[j][i+j+k];
//       dp[i][j][k-1] += tmp * p[k][i+j+k];
//       dp[i][j][k] -= tmp * (p[i][i+j+k] + p[j][i+j+k] + p[k][i+j+k]);
//     }
//   }
//   rep(i,1,A+1) rep(j,1,B+1) rep(k,1,C+1){
//     res[0] += (A-i) * dp[i][j][k];
//     res[1] += (B-j) * dp[i][j][k];
//     res[2] += (C-k) * dp[i][j][k];
//   }
//   wt(res(3));
// 
//   {
//     Modint chk1, chk2;
//     string s1 = "3452192328044966520392806880021097467";
//     string s2 = "1921444247213913479420805120000000000";
//     string s3 = "1171514706712320746421671594290613233";
//     string s4 = "1097968141265093416811888640000000000";
//     string s5 = "5105000684786014790930854501796258921";
//     string s6 = "11528665483283480876524830720000000000";
//     
//     chk1 = chk2 = 0;
//     rep(i,s1.size()) chk1 = chk1 * 10 + s1[i] - '0';
//     rep(i,s2.size()) chk2 = chk2 * 10 + s2[i] - '0';
//     wt(chk1 / chk2);
// 
//     chk1 = chk2 = 0;
//     rep(i,s3.size()) chk1 = chk1 * 10 + s3[i] - '0';
//     rep(i,s4.size()) chk2 = chk2 * 10 + s4[i] - '0';
//     wt(chk1 / chk2);
// 
//     chk1 = chk2 = 0;
//     rep(i,s5.size()) chk1 = chk1 * 10 + s5[i] - '0';
//     rep(i,s6.size()) chk2 = chk2 * 10 + s6[i] - '0';
//     wt(chk1 / chk2);
//   }
// 
// }