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 TEI { InputStream is; PrintWriter out; String INPUT = ""; long sum(int b, int d) { long all = (-sumGPP(d+1, b, mod) * d + (long)d * b % mod * sumGP(d+1, b, mod)) % mod; if(all < 0)all += mod; return all; } void solve() { int n = ni(), b = ni(), d = ni(); long[] lens = new long[40]; long[] sums = new long[40]; lens[1] = d; sums[1] = sum(1, d); for(int i = 2;i < 40;i++){ lens[i] = lens[i-1] * (d+1) + d; sums[i] = sum(i, d); } long sum = 0; for(int i = 1;i < 40;i++){ if(lens[i] > n){ for(int j = i-1;j >= 0;j--){ long k = n / (lens[j]+1); sum += k*(sums[j]+(j+1)); sum %= mod; n -= k*(lens[j]+1); if(n == lens[j]){ sum += sums[j]; n = 0; } sum %= mod; } break; } } sum = sum(b, d) - sum; if(sum < 0)sum += mod; out.println(sum); } public static long sumGP(long a, long n, long mod) { long smul = 1; // % mod long mul = a % mod; long ret = 0; for(;n > 0;n >>>= 1){ if((n&1)==1){ ret = (ret * mul + smul) % mod; } smul = smul * (mul + 1) % mod; mul = mul * mul % mod; } return ret; } public long sumGPP(long a, long n, long mod) { long ssmul = 0; // % mod long smul = 1; // % mod long mul = a % mod; long gret = 0; long ret = 0; long mnum = 1; // % mod for(;n > 0;n >>>= 1){ if((n&1)==1){ gret = (gret * mul + ret * mul % mod * mnum + ssmul) % mod; ret = (ret * mul + smul) % mod; } ssmul = (ssmul * (mul+1) + smul * mul % mod * mnum) % mod; smul = smul * (mul + 1) % mod; mul = mul * mul % mod; mnum = 2 * mnum; if(mnum >= mod)mnum -= mod; } return gret; } public static final int mod = 1000000007; public static final long m2 = (long)mod*mod; public static final long BIG = 8L*m2; // A^e*v public static int[] pow(int[][] A, int[] v, long e) { for(int i = 0;i < v.length;i++){ if(v[i] >= mod)v[i] %= mod; } int[][] MUL = A; for(;e > 0;e>>>=1) { if((e&1)==1)v = mul(MUL, v); MUL = p2(MUL); } return v; } // int matrix*int vector public static int[] mul(int[][] A, int[] v) { int m = A.length; int n = v.length; int[] w = new int[m]; for(int i = 0;i < m;i++){ long sum = 0; for(int k = 0;k < n;k++){ sum += (long)A[i][k] * v[k]; if(sum >= BIG)sum -= BIG; } w[i] = (int)(sum % mod); } return w; } // int matrix^2 (be careful about negative value) public static int[][] p2(int[][] A) { int n = A.length; int[][] C = new int[n][n]; for(int i = 0;i < n;i++){ long[] sum = new long[n]; for(int k = 0;k < n;k++){ for(int j = 0;j < n;j++){ sum[j] += (long)A[i][k] * A[k][j]; if(sum[j] >= BIG)sum[j] -= BIG; } } for(int j = 0;j < n;j++){ C[i][j] = (int)(sum[j] % mod); } } return C; } 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 TEI().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)); } }