diff --git a/README.md b/README.md
index a1e9da6..4713e36 100644
--- a/README.md
+++ b/README.md
@@ -39,29 +39,29 @@ The flagship application of this work is solving ECDSA with known nonce bits. Th
 3. To actually compute the secret key from input provided in a file, you can use the `solve` function. You need to specify the curve to use by name:
 
     ``` shell
-    sage -python ecdsa_cli.py solve -c secp256k1 sample_input.txt
+    sage -python ecdsa_cli.py solve -c secp256k1 sample_msb_input.txt
     ```
 
-    Each line of the file is a space-separated list of the bit length of the nonce, the hex-encoded hash used in the ECDSA signature, the hex-encoded ECDSA signature as (r,s) concatenated together, and the hex-encoded public key.  The `ecdsa.sample` function will generate sample input in this form.
+    Each line of the file is a space-separated list of the length of the unknown bits of the nonce, whether the MSB or LSB are known, the hex-encoded known nonce bits, the hex-encoded hash used in the ECDSA signature, the hex-encoded ECDSA signature as (r,s) concatenated together, and the hex-encoded public key. The `ecdsa.sample` and `ecdsa.sample_msb_zero` functions will generate sample input in this form.
 
-For the moment, our scripts assume the most significant bits of the nonce are 0. If your use case involves known nonzero most significant bits, least significant bits, or another case, you can either transform your signatures and hash values accordingly, or modify our script to implement that case.
+Our `solve` scripts work for arbitrary most or least significant bits (although only all MSB or all LSB).
 
 The following example uses the `scale` strategy to continue searching until the solution is found, which can deal with errors in the data, and will parallelize the algorithm in 8 threads:
 
 ``` shell
-sage -python ecdsa_cli.py solve -c secp256k1 -f scale -p 8 sample_input.txt
+sage -python ecdsa_cli.py solve -c secp256k1 -f scale -p 8 sample_msb_input.txt
 ```
 
 If you wish to write your own script to use our functions as a library, here is a small custom Python script that shows how to invoke the relevant functions to compute the secret key for some randomly generated data:
 ``` python
-from ecdsa_hnp import ECDSA, ECDSASolver,make_klen_list
+from ecdsa_hnp import ECDSA, ECDSASolver, make_klen_list
 
 if  __name__=='__main__':
     k = 252
     m = 70
     ecdsa = ECDSA(nbits=256)
-    lines, k_list, d = ecdsa.sample(m,make_klen_list(k,m))
-    solver = ECDSASolver(ecdsa,lines,m=m)
+    lines, k_list, d = ecdsa.sample(m=m, is_msb=True, klen_list=make_klen_list(k,m))
+    solver = ECDSASolver(ecdsa, lines, m=m)
     key, res = solver("bkz-enum")
     if res.success:
         print(hex(key))
@@ -107,7 +107,7 @@ pip install -r suggestions.txt
 python setup.py build
 python setup.py -q install
 cd ..
-    
+
 git clone https://github.com/fplll/g6k
 cd g6k
 autoreconf -i
@@ -116,7 +116,7 @@ make
 pip install -r requirements.txt
 ./rebuild.sh
 python setup.py build
-python setup.py -q install 
+python setup.py -q install
 cd ..
 ```
 
diff --git a/ecdsa_hnp.py b/ecdsa_hnp.py
index c46ba06..b2d6532 100644
--- a/ecdsa_hnp.py
+++ b/ecdsa_hnp.py
@@ -90,34 +90,35 @@ def __init__(self, curve=None, nbits=256):
         else:
             raise NotImplementedError("curve={curve} is not implemented".format(curve=curve))
 
-    def sign(self, h, sk, klen=256, return_k=False):
+    def sign(self, h, sk, nonce_len=256, return_nonce=False):
         """
-        Sign ``h`` and signing key ``sk``
+        Sign ``h`` with signing key ``sk``.
 
-        :param h: "hash"
+        :param h: message hash
         :param sk: signing key
-        :param klen: number of bits in the nonce.
-        :param return_k:
+        :param nonce_len: number of random bits in the nonce
+        :param return_nonce: True to return the nonce
 
         """
         d = btoi(sk.to_string())
         hi = btoi(h)
-        k = ZZ.random_element(2 ** klen)
-        r = Integer((self.GG * k).xy()[0])
-        s = lift(inverse_mod(k, self.n) * mod(hi + d * r, self.n))
+        nonce = ZZ.random_element(2 ** nonce_len)
+        r = Integer((self.GG * nonce).xy()[0])
+        s = lift(inverse_mod(nonce, self.n) * mod(hi + d * r, self.n))
         sig = itob(r, self.baselen) + itob(s, self.baselen)
-        if return_k:
-            return k, sig
+        if return_nonce:
+            return nonce, sig
         return sig
 
-    def sample(self, m=2, klen_list=None, seed=None, errors=0.0):
+    def sample_msb_zero(self, m=2, klen_list=None, seed=None, errors=0.0):
         """
-        Sample `m` leaky signatures.
+        Sample ``m`` signatures where the nonce has known leading 0 bits.
+        This corresponds to the scenario as described and benchmarked in the paper.
 
-        :param m:
-        :param klen_list:
-        :param seed:
-        :param errors: fraction of signatures that are 1 bit longer than ``klen_list`` specifies
+        :param m: number of signatures to generate
+        :param klen_list: list of lengths of unknown nonce bits
+        :param seed: seed for PRNG
+        :param errors: fraction of nonces with 1 more unknown bit than ``klen_list`` specifies
 
         """
         if klen_list is None:
@@ -138,11 +139,88 @@ def sample(self, m=2, klen_list=None, seed=None, errors=0.0):
             h = ZZ.random_element(2 ** self.nbits)
             hb = itob(h, self.baselen)
             if errors > 0 and random() < errors:
-                k, sss = self.sign(hb, sk, klen=klen_list[i] + 1, return_k=True)
+                k, sss = self.sign(hb, sk, nonce_len=klen_list[i] + 1, return_nonce=True)
             else:
-                k, sss = self.sign(hb, sk, klen=klen_list[i], return_k=True)
+                k, sss = self.sign(hb, sk, nonce_len=klen_list[i], return_nonce=True)
             k_list.append(k)
-            lines.append("%s %s %s %s" % (str(klen_list[i]), bytes.hex(hb), bytes.hex(sss), bytes.hex(vk.to_string())))
+            msbi = Integer(0)
+            msb = itob(msbi, self.baselen)
+            lines.append(
+                "%s %s %s %s %s %s"
+                % (str(klen_list[i]), "MSB", bytes.hex(msb), bytes.hex(hb), bytes.hex(sss), bytes.hex(vk.to_string()))
+            )
+        return lines, k_list, d
+
+    def sample(self, m=2, klen_list=None, seed=None, is_msb=True):
+        """
+        Sample ``m`` signatures with the specified nonce leakage.
+        The leaked bits may be MSB or LSB, and are random rather than necessarily 0 bits.
+        ``k`` refers to the unknown part of the nonce.
+
+        :param m: number of signatures to generate
+        :param klen_list: list of lengths of unknown nonce bits
+        :param seed: seed for PRNG
+        :param is_msb: True if the known nonce bits are MSB, False for LSB
+
+        """
+        if klen_list is None:
+            klen_list = [128] * m
+        import ecdsa as ecdsam
+        from ecdsa.util import PRNG
+
+        if seed is not None:
+            rng = PRNG(seed)
+        else:
+            rng = None
+        sk = ecdsam.SigningKey.generate(curve=self.curve, entropy=rng)
+        d = btoi(sk.to_string())
+        vk = sk.get_verifying_key()
+        lines = []
+        # ``k`` refers to the unknown HNP secret, not the full nonce
+        k_list = []
+
+        for i in range(m):
+            h = ZZ.random_element(2 ** self.nbits)
+            hb = itob(h, self.baselen)
+            nonce, sss = self.sign(hb, sk, nonce_len=self.nbits, return_nonce=True)
+
+            if is_msb:
+                k = lift(mod(nonce, 2 ** klen_list[i]))
+                msbi = Integer(nonce - k)
+                msb = itob(msbi, self.baselen)
+                assert k + msbi == nonce
+                assert k < Integer(2 ** klen_list[i])
+                k_list.append(k)
+                lines.append(
+                    "%s %s %s %s %s %s"
+                    % (
+                        str(klen_list[i]),
+                        "MSB",
+                        bytes.hex(msb),
+                        bytes.hex(hb),
+                        bytes.hex(sss),
+                        bytes.hex(vk.to_string()),
+                    )
+                )
+            else:
+                t = self.nbits - klen_list[i]
+                lsbi = lift(mod(nonce, 2 ** t))
+                lsb = itob(lsbi, self.baselen)
+                k = lift(inverse_mod(2 ** t, self.n) * (mod(nonce, self.n) - mod(lsbi, self.n)))
+                assert lsbi < Integer(2 ** t)
+                assert lsbi + k * Integer(2 ** t) == nonce
+                k_list.append(k)
+                lines.append(
+                    "%s %s %s %s %s %s"
+                    % (
+                        str(klen_list[i]),
+                        "LSB",
+                        bytes.hex(lsb),
+                        bytes.hex(hb),
+                        bytes.hex(sss),
+                        bytes.hex(vk.to_string()),
+                    )
+                )
         return lines, k_list, d
 
 
@@ -172,11 +250,17 @@ def __init__(self, ecdsa, lines, m, d=None, threads=1):
         self.vk = ""
         self.d = m + 1 if d is None else d
         self.threads = threads
+        self.is_msb = True
+        self.bias_list = []  # ``bias`` refers to the known/leaked bits
 
         for line in lines:
-            klen, h, sig, key = line.strip().split()
+            klen, xsb, bias, h, sig, key = line.strip().split()
             self.klen_list.append(int(klen))
+            if xsb == "LSB":
+                self.is_msb = False
+            self.bias_list.append(int(bias, 16))
             self.h_list.append(int(h, 16))
+
             if not self.vk:
                 self.pubx = btoi(binascii.unhexlify(key[: self.ecdsa.baselen * 2]))
                 self.puby = btoi(binascii.unhexlify(key[self.ecdsa.baselen * 2 :]))
@@ -184,6 +268,7 @@ def __init__(self, ecdsa, lines, m, d=None, threads=1):
                     itob(self.pubx, self.ecdsa.baselen) + itob(self.puby, self.ecdsa.baselen), curve=self.ecdsa.curve
                 )
                 self.vk = vk
+
             r = sig[: 2 * self.ecdsa.baselen]
             self.r_list.append(int(r, 16))
             s = sig[2 * self.ecdsa.baselen :]
@@ -210,29 +295,75 @@ def gen_lattice(self, d=None):
         except ValueError:
             raise StopIteration("No more bases to sample.")
         p = self.ecdsa.n
+
         # w = 2 ** (self.klen - 1)
         w_list = [2 ** (klen - 1) for klen in self.klen_list]
 
         r_list = [self.r_list[i] for i in I]
         s_list = [self.s_list[i] for i in I]
         h_list = [self.h_list[i] for i in I]
+        bias_list = [self.bias_list[i] for i in I]
+        biaslen_list = [(self.ecdsa.nbits - self.klen_list[i]) for i in I]
 
         rm = r_list[-1]
         sm = s_list[-1]
         hm = h_list[-1]
         wm = w_list[-1]
-        a_list = [
-            lift(
-                wi
-                - mod(r, p) * inverse_mod(s, p) * inverse_mod(rm, p) * mod(sm, p) * wm
-                - inverse_mod(s, p) * mod(h, p)
-                + mod(r, p) * inverse_mod(s, p) * mod(hm, p) * inverse_mod(rm, p)
-            )
-            for wi, h, r, s in zip(w_list[:-1], h_list[:-1], r_list[:-1], s_list[:-1])
-        ]
-        t_list = [
-            -lift(mod(r, p) * inverse_mod(s, p) * inverse_mod(rm, p) * sm) for r, s in zip(r_list[:-1], s_list[:-1])
-        ]
+        bias_m = bias_list[-1]
+        biaslen_m = biaslen_list[-1]
+
+        if self.is_msb:
+            a_list = [
+                lift(
+                    -inverse_mod(s, p) * mod(h, p)
+                    + mod(bias_i, p)
+                    + wi
+                    - mod(r, p) * inverse_mod(s, p) * inverse_mod(rm, p) * mod(sm, p) * (mod(bias_m, p) + wm)
+                    + mod(r, p) * inverse_mod(s, p) * mod(hm, p) * inverse_mod(rm, p)
+                )
+                for wi, h, r, s, bias_i in zip(w_list[:-1], h_list[:-1], r_list[:-1], s_list[:-1], bias_list[:-1])
+            ]
+            t_list = [
+                lift(mod(r, p) * inverse_mod(s, p) * inverse_mod(rm, p) * mod(sm, p))
+                for r, s in zip(r_list[:-1], s_list[:-1])
+            ]
+
+        else:
+            a_list = [
+                lift(
+                    inverse_mod(2 ** biaslen_i, p) * mod(bias_i, p)
+                    + wi
+                    - inverse_mod(2 ** biaslen_i, p) * inverse_mod(s, p) * mod(h, p)
+                    - inverse_mod(2 ** biaslen_i, p)
+                    * inverse_mod(s, p)
+                    * mod(r, p)
+                    * mod(sm, p)
+                    * inverse_mod(rm, p)
+                    * mod(bias_m, p)
+                    + inverse_mod(2 ** biaslen_i, p) * inverse_mod(s, p) * mod(r, p) * inverse_mod(rm, p) * mod(hm, p)
+                    - inverse_mod(2 ** biaslen_i, p)
+                    * inverse_mod(s, p)
+                    * mod(r, p)
+                    * mod(2 ** biaslen_m, p)
+                    * mod(sm, p)
+                    * inverse_mod(rm, p)
+                    * wm
+                )
+                for wi, h, r, s, bias_i, biaslen_i in zip(
+                    w_list[:-1], h_list[:-1], r_list[:-1], s_list[:-1], bias_list[:-1], biaslen_list[:-1]
+                )
+            ]
+            t_list = [
+                lift(
+                    mod(r, p)
+                    * inverse_mod(s, p)
+                    * inverse_mod(rm, p)
+                    * mod(sm, p)
+                    * mod(2 ** biaslen_m, p)
+                    * inverse_mod(2 ** biaslen_i, p)
+                )
+                for r, s, biaslen_i in zip(r_list[:-1], s_list[:-1], biaslen_list[:-1])
+            ]
 
         d = self.d
         A = IntegerMatrix(d, d)
@@ -287,9 +418,17 @@ def recover_key(self, solution_vector):
         f = Integer((2 ** (max(self.klen_list) - 1)) / w)
 
         def test_key(k):
-            if (k * self.ecdsa.GG).xy()[0] == self.r_list[0]:
+            if self.is_msb:
+                nonce = Integer(self.bias_list[0] + k)
+            else:
+                t = self.ecdsa.nbits - self.klen_list[0]
+                nonce = Integer(self.bias_list[0] + k * (2 ** t))
+            if (nonce * self.ecdsa.GG).xy()[0] == self.r_list[0]:
                 d = Integer(
-                    mod(inverse_mod(self.r_list[0], self.ecdsa.n) * (k * self.s_list[0] - self.h_list[0]), self.ecdsa.n)
+                    mod(
+                        inverse_mod(self.r_list[0], self.ecdsa.n) * (nonce * self.s_list[0] - self.h_list[0]),
+                        self.ecdsa.n,
+                    )
                 )
                 pubkey = self.ecdsa.GG * d
                 if (
@@ -322,6 +461,9 @@ def _data_for_test(self, M=None):
             G_powers[Integer(M.B[row][0] / f)] = Integer(M.B[row][0] / f) * self.ecdsa.GG
         G_powers[w] = w * self.ecdsa.GG
 
+        bias = self.bias_list[0]
+        G_powers[bias] = bias * self.ecdsa.GG
+
         A0 = tuple([Integer(M.B[i][0] / f) for i in range(M.B.nrows)])
         A1 = tuple([M.B[i][-1] for i in range(M.B.nrows)])
         return G_powers, A0, A1
@@ -427,13 +569,38 @@ def predicate(v, standard_basis=True):
             else:
                 kG = sum(round(v[i]) * G_powers[A0[i]] for i in range(len(A0)))
 
-            r = self.r_list[0]
-            if (kG + G_powers[w]).xy()[0] == r:
-                return True
-            elif (-kG + G_powers[w]).xy()[0] == r:
-                return True
+            if self.is_msb:
+                r = self.r_list[0]
+                msb = self.bias_list[0]
+
+                # lsb = v[0] // f
+                # k1 = msb + w + lsb
+                # k2 = msb + w - lsb
+                kG1 = G_powers[msb] + G_powers[w] + kG
+                kG2 = G_powers[msb] + G_powers[w] - kG
+
+                if kG1.xy()[0] == r:
+                    return True
+                elif kG2.xy()[0] == r:
+                    return True
+                else:
+                    return False
+
             else:
-                return False
+                r = self.r_list[0]
+                lsb = self.bias_list[0]
+                t = self.ecdsa.nbits - self.klen_list[0]
+                kk = v[0] // f
+
+                k1 = (2 ** t) * (w + kk) + lsb
+                k2 = (2 ** t) * (w - kk) + lsb
+
+                if (k1 * self.ecdsa.GG).xy()[0] == r:
+                    return True
+                elif (k2 * self.ecdsa.GG).xy()[0] == r:
+                    return True
+                else:
+                    return False
 
         def invalidate_cache():
             self._data_for_test.clear_cache()
@@ -486,7 +653,7 @@ def compute_kernel(args):
 
     ecdsa = ECDSA(nbits=args.nlen)
 
-    lines, k_list, _ = ecdsa.sample(m=args.m, klen_list=args.klen_list, seed=args.seed, errors=args.e)
+    lines, k_list, _ = ecdsa.sample_msb_zero(m=args.m, klen_list=args.klen_list, seed=args.seed, errors=args.e)
     w_list = [2 ** (klen - 1) for klen in args.klen_list]
     f_list = [Integer(max(w_list) / wi) for wi in w_list]
 
diff --git a/sample_input.txt b/sample_input.txt
deleted file mode 100644
index 9c91018..0000000
--- a/sample_input.txt
+++ /dev/null
@@ -1,70 +0,0 @@
-252 e01880a9ca1750fe7e66070bf6b8f5ceace6cff3bce4f3d803f8bea02fea9628 d4fd78d94768318c422c2b82169c152810cae49b9a36d6adcb3bcb3e752728e61dfc81ec29fa40cb9b2adee3563fb3a2d9896f1ba4052b799a76b3d8433d3f5d 308cbd43c28357bd288c1a75d98a35597466697668a34582a193163eb8c66793f759cd81133dc0e238e192eddc17874994873bbcbae8ba3bab714d74f6939072
-252 757d78885aa1c44f62da97b67284e489da6f99c036972180e9a359a83481bad9 80f21a17afc04eae022e9878d37da0c002e674b6616298ecf7f3d460c2051c92a96ffddaf3bb42d97f2e2b6fd681a8259d348dcc416c5d54bf097721e39a3cff 308cbd43c28357bd288c1a75d98a35597466697668a34582a193163eb8c66793f759cd81133dc0e238e192eddc17874994873bbcbae8ba3bab714d74f6939072
-252 3e640d1d5ca34cc7a966b3f75c742e95ae14b9c81f4bf8ad284172d9fe027c5c 7443da584a4ab1be12267671f7e20cb09dd8662d86c8562997675fc7b735c029e1b912691399d3d7569bbfbefe3107b1b8908e06753049a407d7b5f41148ca6c 308cbd43c28357bd288c1a75d98a35597466697668a34582a193163eb8c66793f759cd81133dc0e238e192eddc17874994873bbcbae8ba3bab714d74f6939072
-252 badc73a0f25693fe69980741b0a53771a311f325c0a52f6974df2e601b0213c1 64c86a3fa3649aa31678eeb3b6e79a15859892bbf6fefa635e70543f61dcfce077747e7a49c874fb1de5c6ba1f833f3d3675ce082cfd00c16d7af9e4d14deebc 308cbd43c28357bd288c1a75d98a35597466697668a34582a193163eb8c66793f759cd81133dc0e238e192eddc17874994873bbcbae8ba3bab714d74f6939072
-252 c14350e1ab81c73e7c3a7755753c2a65d6c856d47a72cf7ac7b0b6ff157302d7 61f767a10cb508e28184fd74b87d164ca467a6df5a9ece04226313c25efb6d7058f10fc1f2a8ab96139cddeb967949b7cb6977dc9535a59d9126fc8ae89ef9be 308cbd43c28357bd288c1a75d98a35597466697668a34582a193163eb8c66793f759cd81133dc0e238e192eddc17874994873bbcbae8ba3bab714d74f6939072
-252 e7199555d2cdf8aa48c568f392568a340856258878a79269d6c533f3cc867430 25f0c30b9e33fc22401b825f43ef417a0d9d760a1390d76af205f94fef18bbf34a887f578a76490ba3610af13f87f96d09d5d0f5edfc2ed3c4d28f2ab3389a32 308cbd43c28357bd288c1a75d98a35597466697668a34582a193163eb8c66793f759cd81133dc0e238e192eddc17874994873bbcbae8ba3bab714d74f6939072
-252 349b94d5d40f162c6b373a9bbe24c107ba7d239d2ad769bf44218b62d3701216 ca3e82de307c8115710c2dcc4dfd7547ade79bfc7d41825f88cad4ed4712f2e94714d5f35d232640347f13d9e3153db7146e48730e61a8870ae6ec2cb81d7229 308cbd43c28357bd288c1a75d98a35597466697668a34582a193163eb8c66793f759cd81133dc0e238e192eddc17874994873bbcbae8ba3bab714d74f6939072
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diff --git a/sample_lsb_input.txt b/sample_lsb_input.txt
new file mode 100644
index 0000000..12dec11
--- /dev/null
+++ b/sample_lsb_input.txt
@@ -0,0 +1,70 @@
+252 LSB 0000000000000000000000000000000000000000000000000000000000000008 07d89c17918ddc7d9b6ac7e86ac8e5c6d839b71490cf383107a64f3084e1c327 7892424591c671fcd7cdd0b43e761a158194c4601d28f2a92d8327bb7bc0ec9d3e59ccbcf697e601fe9f223ad731e61924661ae6ad068f2ee738c77762f516f9 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 0000000000000000000000000000000000000000000000000000000000000001 f38aa92970245da508b9b7017521dbd1f1a5669cd8ebd076c71a14ea93f65f00 51f0f355023961e6ab3d13fa8931e5805a5b0ece9895771dba43d4f772f091e9ad178fc98ddee05519ec9e84f526224dbd89bb88cc60c16c2b6bcdb004548da6 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 0000000000000000000000000000000000000000000000000000000000000008 1d61f3aa184e3232246bd6bce386decb4803a66860e40ce303999c7a03837f17 1b5654d0c03d18c08aaf99154dbb4907cd6b728e3b54f5d4373ace5c8d6423a5acf10d3f142c73aa6d988f3576842fa80107b189a715238ba6bf436c976ad75f 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 000000000000000000000000000000000000000000000000000000000000000e 5993e1a2cbabdd3243defe4906975386d82be7b1c2a6da8cbcdfcdee222c2720 82df2d50c6093400c2341d13d181a780755dd20e0e7630b09c4a43ee6e4b165cbe2ec0605bf9ad6c0806b3c0ee9dbaa879042394363eaf5d814be5e41484a3cf 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 0000000000000000000000000000000000000000000000000000000000000007 0655573ac70338a9617d1212b139c249db8e7cd84d9311c1756b8a773fe766b6 687ac5ea93254e21ba72e594211d3c704a2f5c60c0befc14cafd1e6338aec1e18f2a2e88316c0836a498e745b551c01447a0551f7569dd3eb8490fe9ea931d01 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 0000000000000000000000000000000000000000000000000000000000000005 c1042671859751e7e91ec02499ca1ed30a0ab945f04ea0dcecdde47ae8370f77 3bc22fa305f971bc449d2723797bd5ce3cbaa6bfc73035ad21556ebc479d260f67fd43c7be02a652940a6ecf061b904ab04b658adf4920560cd2438ea0edd988 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 0000000000000000000000000000000000000000000000000000000000000005 bb40e934544fbc7f7dc8a0cc3499cdbc2eabfbc4a9d75704ed4bc3225f544416 8251d3cec1c9c859f2579c97b6656e85c3f86a58751022c0330b24f58d5eaff77a63cd842a5da0beaa3a9c5b6d715fce4eebf15dde8910cb4bd42ce8553c3ea7 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 000000000000000000000000000000000000000000000000000000000000000e 84cfcbddd18dcf700ef37a8ab095dc3f94942767c1a0f8ba9392ff9d48dcabd2 d0ba388015b66e98463d126f5c6e26d47e94ba313ff022db0b16c8e2578cf17320f0064cacd97b82c3b7b2acfa103e1a7df8a10aea0534b55959756d2e610164 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 0000000000000000000000000000000000000000000000000000000000000001 eca5378614cc9033c19c8817115158bd63ee3e49b77528fb8ce4895b7f90ce7e e6f2c661039dd84d12c6b39c54bbcff127e286a63f206b0bb82be88658229ce099cbab00a1a525e00b23fa00402f368428968665452cfd5042e205361fe6bb86 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 0000000000000000000000000000000000000000000000000000000000000008 0831217d69dfde2a4e5ddc4812b6cfca8dfb967cfa48e86b23b97045f0197a97 7972c24ef9fa663bf0cd307baf80d89347e5cdee8da081c07d87ad54f8176e8efdba3202168d2f9fbc6b5ad206d33da4c2edcd2665dcbb720e58e3a96e58cc79 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 0000000000000000000000000000000000000000000000000000000000000001 353266ca1f22445acfca45dc81364fa548a447f635f6b750a258d071054e726f 6dd277c0e25051a9ff136d05b49001b091ebc70fe5c1cb75e3bc72c9a0cb1ba217aa980df1cb311a2c91d9d74a77830e317b45b5e9b63ae60029735151e2c6d2 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 0000000000000000000000000000000000000000000000000000000000000002 db7f11fcd97c2a40d100d0531b64873fad57ce3b9263abf792e761de0aead34e a2b4df76b084f6abe58dd6c9c450d6961a9055f06165c8e4d4c8024bb2029e8bd9f24c2709d2d69ec7952b2333308c1c66540ad6028c325b0f598e43de33e104 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 0000000000000000000000000000000000000000000000000000000000000002 f443fc153f142284c985940b5c83130d1a218375e6708c06fb1f899391e31671 5fae88f82f0e69e3a977d0932db65060ba05780334d3230bd58623352158386d71364bb11edd66b41992abd350af3ea80ef43d4e86027f6ce79dbc8522a3ee33 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 0000000000000000000000000000000000000000000000000000000000000008 bba3b1184607ebfb44e619d41ea510d1b98d191e1b374f91b1281bb94dca3122 3f3148c48414a569f3f016fb98892bf515fe34d6aa8ecae22cafa8113a0436eb3bc7c45d67e9b11426892eec44c0b1474224c3e88974233551b0d171b69fb6b9 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 000000000000000000000000000000000000000000000000000000000000000d be3ee93f84afb445bc598c62d48d28d98f6f1b0dead494fd1cb2556cb53a6947 e5ad6197862442581bef9fcb1d73c25086581ab2ae16414f83a6ff8a96813838b80ba0fefd9aa57440b6aa41afa93ac96f7133225e2239f8a3b3e33cb1936a3c 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 0000000000000000000000000000000000000000000000000000000000000005 fda2c784faa2ef203c9c0f8a13c74af93c47aefe79473e63bc0d321d10e69565 3ac499896dc149f56c3e3db3cd08bea1be6c8f53e589e63bbb742928463146ed28dc91294767d578de7e7bb58744122ce4e6ccef99debbdf172a91ec504c6dcd 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 000000000000000000000000000000000000000000000000000000000000000d 6a0e2b93a50ba12ffb2cf08724e09a050b1348a23734d238bd10735719877df6 4fa730a6a76d5e0d42b9683549c70d3c6613b3d6630e7b11720ed1afba609e96f9cc4a49f61711193114a4769b1914ae005e5d71f3c4f2c5f028a3cb386bb7ed 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
+252 LSB 000000000000000000000000000000000000000000000000000000000000000b 02b9301a6abd12193b365bf3385fae03581f4b444ad31929cbdbdd0926c2b9ba 125997adefcae7a3f3f3463867ad805d063b025ae3960aa341a3ee03361a580ab3bddfb45c784409bcb5cd5846a3b66b1f06b1e18babfc2f905012f4ae454ca1 5f06da96c569d5697d4853ee5838c2033b417df455c3f99b8ce7eb9858ce80ac3b5268b8a9888075d6cd1928e86cb83588bd44c5b0d2ca74158713b0c8e17403
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diff --git a/sample_msb_input.txt b/sample_msb_input.txt
new file mode 100644
index 0000000..04b79f0
--- /dev/null
+++ b/sample_msb_input.txt
@@ -0,0 +1,60 @@
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