package contest171027; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.InputMismatchException; public class D { InputStream is; PrintWriter out; String INPUT = ""; void solve() { int mod = 1000000007; int n = ni(), r = ni(), g = ni(), b = ni(); if(n < r + g + b || (r+g+b)/2*3 > n + 1){ out.println(0); return; } // rb bg gr r b g // A B C r b g // R = A+C+r // G = B+C+g // B = A+B+b // Z = n+1 - (3A+3B+3C+2r+2b+2g) // 2^(A+B+C)*(A+B+C+r+b+g+Z)!/A!B!C!r!b!g!Z! long[] ps = new long[3005]; ps[0] = 1; for(int i = 1;i < ps.length;i++)ps[i] = ps[i-1] * 2 % mod; int[][] fif = enumFIF(10000, mod); long[][] ff = new long[2005][2005]; for(int i = 0;i < 2005;i++){ for(int j = 0;j < 2005;j++){ ff[i][j] = (long)fif[1][i] * fif[1][j] % mod; } } long ret = 0; long big = 8L*mod*mod; int hit = 0; for(int A = 0;A <= 1001;A++){ for(int B = 0;B <= 1001 && A+B <= b;B++){ long lret = 0; for(int C = Math.min(1001, Math.min(r-A, g-B));C >= 0;C--){ // for(int C = 0;C <= 1001 && A+C <= r && B+C <= g;C++){ int R = r - (A+C); int G = g - (B+C); int V = b - (A+B); int Z = n+1 - (3*A+3*B+3*C+2*R+2*G+2*V); if(Z < 0)break; // lret += ps[A+B+C] * fif[0][A+B+C+R+G+V+Z] % mod * fif[1][C] % mod * fif[1][R] % mod * fif[1][G] % mod * fif[1][Z]; lret += ps[A+B+C] * fif[0][A+B+C+R+G+V+Z] % mod * ff[C][R] % mod * ff[G][Z]; if(lret >= big)lret -= big; // hit++; } ret += lret % mod * ff[A][B] % mod * fif[1][b-(A+B)]; if(ret >= big)ret -= big; } } // tr(hit); out.println(ret%mod); } public static int[][] enumFIF(int n, int mod) { int[] f = new int[n + 1]; int[] invf = new int[n + 1]; f[0] = 1; for (int i = 1; i <= n; i++) { f[i] = (int) ((long) f[i - 1] * i % mod); } long a = f[n]; long b = mod; long p = 1, q = 0; while (b > 0) { long c = a / b; long d; d = a; a = b; b = d % b; d = p; p = q; q = d - c * q; } invf[n] = (int) (p < 0 ? p + mod : p); for (int i = n - 1; i >= 0; i--) { invf[i] = (int) ((long) invf[i + 1] * (i + 1) % mod); } return new int[][] { f, invf }; } void run() throws Exception { is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); long s = System.currentTimeMillis(); solve(); out.flush(); if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } public static void main(String[] args) throws Exception { new D().run(); } private byte[] inbuf = new byte[1024]; public int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[][] nmi(int n, int m) { int[][] map = new int[n][]; for(int i = 0;i < n;i++)map[i] = na(m); return map; } private int ni() { return (int)nl(); } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }