diff --git a/Cargo.lock b/Cargo.lock
index 30e9908..f128eb2 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -5,7 +5,7 @@ name = "aho-corasick"
 version = "0.7.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "memchr 2.2.1 (registry+https://github.com/rust-lang/crates.io-index)",
+ "memchr 2.3.0 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
@@ -15,8 +15,8 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
  "approx 0.3.2 (registry+https://github.com/rust-lang/crates.io-index)",
  "libm 0.1.4 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-complex 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-complex 0.2.4 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
@@ -24,7 +24,7 @@ name = "approx"
 version = "0.3.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
@@ -71,14 +71,14 @@ dependencies = [
  "nalgebra 0.19.0 (registry+https://github.com/rust-lang/crates.io-index)",
  "ndarray 0.13.0 (registry+https://github.com/rust-lang/crates.io-index)",
  "nom 5.1.0 (registry+https://github.com/rust-lang/crates.io-index)",
- "num 0.2.0 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-bigint 0.2.4 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-complex 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num 0.2.1 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-bigint 0.2.5 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-complex 0.2.4 (registry+https://github.com/rust-lang/crates.io-index)",
  "num-derive 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-integer 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-iter 0.1.39 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-rational 0.2.2 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-integer 0.1.42 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-iter 0.1.40 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-rational 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)",
  "ordered-float 1.0.2 (registry+https://github.com/rust-lang/crates.io-index)",
  "permutohedron 0.2.4 (registry+https://github.com/rust-lang/crates.io-index)",
  "petgraph 0.5.0 (registry+https://github.com/rust-lang/crates.io-index)",
@@ -87,13 +87,13 @@ dependencies = [
  "primal-estimate 0.2.1 (registry+https://github.com/rust-lang/crates.io-index)",
  "primal-sieve 0.2.9 (registry+https://github.com/rust-lang/crates.io-index)",
  "proconio 0.3.4 (registry+https://github.com/rust-lang/crates.io-index)",
- "rand 0.7.2 (registry+https://github.com/rust-lang/crates.io-index)",
+ "rand 0.7.3 (registry+https://github.com/rust-lang/crates.io-index)",
  "rand_chacha 0.2.1 (registry+https://github.com/rust-lang/crates.io-index)",
  "rand_core 0.5.1 (registry+https://github.com/rust-lang/crates.io-index)",
  "rand_distr 0.2.2 (registry+https://github.com/rust-lang/crates.io-index)",
  "rand_hc 0.2.0 (registry+https://github.com/rust-lang/crates.io-index)",
  "rand_pcg 0.2.1 (registry+https://github.com/rust-lang/crates.io-index)",
- "regex 1.3.2 (registry+https://github.com/rust-lang/crates.io-index)",
+ "regex 1.3.3 (registry+https://github.com/rust-lang/crates.io-index)",
  "rustc-hash 1.0.1 (registry+https://github.com/rust-lang/crates.io-index)",
  "smallvec 1.1.0 (registry+https://github.com/rust-lang/crates.io-index)",
  "strsim 0.9.3 (registry+https://github.com/rust-lang/crates.io-index)",
@@ -109,6 +109,11 @@ name = "autocfg"
 version = "0.1.7"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 
+[[package]]
+name = "autocfg"
+version = "1.0.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+
 [[package]]
 name = "bitflags"
 version = "1.2.1"
@@ -193,7 +198,7 @@ name = "euclid"
 version = "0.20.7"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
@@ -281,7 +286,7 @@ name = "itertools-num"
 version = "0.1.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
@@ -370,7 +375,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 
 [[package]]
 name = "memchr"
-version = "2.2.1"
+version = "2.3.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 
 [[package]]
@@ -379,9 +384,9 @@ version = "0.7.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
  "modtype_derive 0.7.0 (registry+https://github.com/rust-lang/crates.io-index)",
- "num 0.2.0 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-bigint 0.2.4 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-integer 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num 0.2.1 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-bigint 0.2.5 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-integer 0.1.42 (registry+https://github.com/rust-lang/crates.io-index)",
  "rand 0.6.5 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
@@ -407,10 +412,10 @@ dependencies = [
  "approx 0.3.2 (registry+https://github.com/rust-lang/crates.io-index)",
  "generic-array 0.13.2 (registry+https://github.com/rust-lang/crates.io-index)",
  "matrixmultiply 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-complex 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-rational 0.2.2 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)",
- "rand 0.7.2 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-complex 0.2.4 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-rational 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)",
+ "rand 0.7.3 (registry+https://github.com/rust-lang/crates.io-index)",
  "rand_distr 0.2.2 (registry+https://github.com/rust-lang/crates.io-index)",
  "typenum 1.11.2 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
@@ -422,9 +427,9 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
  "itertools 0.8.2 (registry+https://github.com/rust-lang/crates.io-index)",
  "matrixmultiply 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-complex 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-integer 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-complex 0.2.4 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-integer 0.1.42 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)",
  "rawpointer 0.2.1 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
@@ -439,40 +444,40 @@ version = "5.1.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
  "lexical-core 0.4.6 (registry+https://github.com/rust-lang/crates.io-index)",
- "memchr 2.2.1 (registry+https://github.com/rust-lang/crates.io-index)",
+ "memchr 2.3.0 (registry+https://github.com/rust-lang/crates.io-index)",
  "version_check 0.1.5 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
 name = "num"
-version = "0.2.0"
+version = "0.2.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "num-bigint 0.2.4 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-complex 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-integer 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-iter 0.1.39 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-rational 0.2.2 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-bigint 0.2.5 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-complex 0.2.4 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-integer 0.1.42 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-iter 0.1.40 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-rational 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
 name = "num-bigint"
-version = "0.2.4"
+version = "0.2.5"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "autocfg 0.1.7 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-integer 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)",
+ "autocfg 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-integer 0.1.42 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
 name = "num-complex"
-version = "0.2.3"
+version = "0.2.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "autocfg 0.1.7 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)",
+ "autocfg 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
@@ -487,40 +492,40 @@ dependencies = [
 
 [[package]]
 name = "num-integer"
-version = "0.1.41"
+version = "0.1.42"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "autocfg 0.1.7 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)",
+ "autocfg 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
 name = "num-iter"
-version = "0.1.39"
+version = "0.1.40"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "autocfg 0.1.7 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-integer 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)",
+ "autocfg 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-integer 0.1.42 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
 name = "num-rational"
-version = "0.2.2"
+version = "0.2.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "autocfg 0.1.7 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-bigint 0.2.4 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-integer 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
- "num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)",
+ "autocfg 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-bigint 0.2.5 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-integer 0.1.42 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
 name = "num-traits"
-version = "0.2.10"
+version = "0.2.11"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "autocfg 0.1.7 (registry+https://github.com/rust-lang/crates.io-index)",
+ "autocfg 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
@@ -528,7 +533,7 @@ name = "ordered-float"
 version = "1.0.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
@@ -593,7 +598,7 @@ name = "primal-check"
 version = "0.2.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "num-integer 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
+ "num-integer 0.1.42 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
@@ -693,7 +698,7 @@ dependencies = [
 
 [[package]]
 name = "rand"
-version = "0.7.2"
+version = "0.7.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
  "getrandom 0.1.14 (registry+https://github.com/rust-lang/crates.io-index)",
@@ -748,7 +753,7 @@ name = "rand_distr"
 version = "0.2.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
- "rand 0.7.2 (registry+https://github.com/rust-lang/crates.io-index)",
+ "rand 0.7.3 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
@@ -846,13 +851,13 @@ dependencies = [
 
 [[package]]
 name = "regex"
-version = "1.3.2"
+version = "1.3.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
  "aho-corasick 0.7.6 (registry+https://github.com/rust-lang/crates.io-index)",
- "memchr 2.2.1 (registry+https://github.com/rust-lang/crates.io-index)",
+ "memchr 2.3.0 (registry+https://github.com/rust-lang/crates.io-index)",
  "regex-syntax 0.6.13 (registry+https://github.com/rust-lang/crates.io-index)",
- "thread_local 0.3.6 (registry+https://github.com/rust-lang/crates.io-index)",
+ "thread_local 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
@@ -963,7 +968,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 
 [[package]]
 name = "thread_local"
-version = "0.3.6"
+version = "1.0.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 dependencies = [
  "lazy_static 1.4.0 (registry+https://github.com/rust-lang/crates.io-index)",
@@ -1040,6 +1045,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 "checksum arrayvec 0.4.12 (registry+https://github.com/rust-lang/crates.io-index)" = "cd9fd44efafa8690358b7408d253adf110036b88f55672a933f01d616ad9b1b9"
 "checksum ascii 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)" = "bbf56136a5198c7b01a49e3afcbef6cf84597273d298f54432926024107b0109"
 "checksum autocfg 0.1.7 (registry+https://github.com/rust-lang/crates.io-index)" = "1d49d90015b3c36167a20fe2810c5cd875ad504b39cff3d4eae7977e6b7c1cb2"
+"checksum autocfg 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)" = "f8aac770f1885fd7e387acedd76065302551364496e46b3dd00860b2f8359b9d"
 "checksum bitflags 1.2.1 (registry+https://github.com/rust-lang/crates.io-index)" = "cf1de2fe8c75bc145a2f577add951f8134889b4795d47466a54a5c846d691693"
 "checksum bitmaps 2.0.0 (registry+https://github.com/rust-lang/crates.io-index)" = "81e039a80914325b37fde728ef7693c212f0ac913d5599607d7b95a9484aae0b"
 "checksum bitset-fixed 0.1.0 (registry+https://github.com/rust-lang/crates.io-index)" = "a8cc868e96ba5c32ffae4d42bf2940ca7fca317dcef3f19b6d7de66b6885abff"
@@ -1077,21 +1083,21 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 "checksum matches 0.1.8 (registry+https://github.com/rust-lang/crates.io-index)" = "7ffc5c5338469d4d3ea17d269fa8ea3512ad247247c30bd2df69e68309ed0a08"
 "checksum matrixmultiply 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)" = "d4f7ec66360130972f34830bfad9ef05c6610a43938a467bcc9ab9369ab3478f"
 "checksum maybe-uninit 2.0.0 (registry+https://github.com/rust-lang/crates.io-index)" = "60302e4db3a61da70c0cb7991976248362f30319e88850c487b9b95bbf059e00"
-"checksum memchr 2.2.1 (registry+https://github.com/rust-lang/crates.io-index)" = "88579771288728879b57485cc7d6b07d648c9f0141eb955f8ab7f9d45394468e"
+"checksum memchr 2.3.0 (registry+https://github.com/rust-lang/crates.io-index)" = "3197e20c7edb283f87c071ddfc7a2cca8f8e0b888c242959846a6fce03c72223"
 "checksum modtype 0.7.0 (registry+https://github.com/rust-lang/crates.io-index)" = "7c6bffa83fe8c98bd8eaa2ca4f4cf867d61940718049d4faeb496d9e83435e4b"
 "checksum modtype_derive 0.7.0 (registry+https://github.com/rust-lang/crates.io-index)" = "b2f5ebe9234d3ba9510165e562083b7b7ad985a37407abd4ec48ffb61066a941"
 "checksum nalgebra 0.19.0 (registry+https://github.com/rust-lang/crates.io-index)" = "0abb021006c01b126a936a8dd1351e0720d83995f4fc942d0d426c654f990745"
 "checksum ndarray 0.13.0 (registry+https://github.com/rust-lang/crates.io-index)" = "25b001fc2f5df269365fb77bd8396ce6b1f61c9848f7f088c25e57494bacc57b"
 "checksum nodrop 0.1.14 (registry+https://github.com/rust-lang/crates.io-index)" = "72ef4a56884ca558e5ddb05a1d1e7e1bfd9a68d9ed024c21704cc98872dae1bb"
 "checksum nom 5.1.0 (registry+https://github.com/rust-lang/crates.io-index)" = "c433f4d505fe6ce7ff78523d2fa13a0b9f2690e181fc26168bcbe5ccc5d14e07"
-"checksum num 0.2.0 (registry+https://github.com/rust-lang/crates.io-index)" = "cf4825417e1e1406b3782a8ce92f4d53f26ec055e3622e1881ca8e9f5f9e08db"
-"checksum num-bigint 0.2.4 (registry+https://github.com/rust-lang/crates.io-index)" = "343b3df15c945a59e72aae31e89a7cfc9e11850e96d4fde6fed5e3c7c8d9c887"
-"checksum num-complex 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)" = "fcb0cf31fb3ff77e6d2a6ebd6800df7fdcd106f2ad89113c9130bcd07f93dffc"
+"checksum num 0.2.1 (registry+https://github.com/rust-lang/crates.io-index)" = "b8536030f9fea7127f841b45bb6243b27255787fb4eb83958aa1ef9d2fdc0c36"
+"checksum num-bigint 0.2.5 (registry+https://github.com/rust-lang/crates.io-index)" = "f6f115de20ad793e857f76da2563ff4a09fbcfd6fe93cca0c5d996ab5f3ee38d"
+"checksum num-complex 0.2.4 (registry+https://github.com/rust-lang/crates.io-index)" = "b6b19411a9719e753aff12e5187b74d60d3dc449ec3f4dc21e3989c3f554bc95"
 "checksum num-derive 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)" = "0c8b15b261814f992e33760b1fca9fe8b693d8a65299f20c9901688636cfb746"
-"checksum num-integer 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)" = "b85e541ef8255f6cf42bbfe4ef361305c6c135d10919ecc26126c4e5ae94bc09"
-"checksum num-iter 0.1.39 (registry+https://github.com/rust-lang/crates.io-index)" = "76bd5272412d173d6bf9afdf98db8612bbabc9a7a830b7bfc9c188911716132e"
-"checksum num-rational 0.2.2 (registry+https://github.com/rust-lang/crates.io-index)" = "f2885278d5fe2adc2f75ced642d52d879bffaceb5a2e0b1d4309ffdfb239b454"
-"checksum num-traits 0.2.10 (registry+https://github.com/rust-lang/crates.io-index)" = "d4c81ffc11c212fa327657cb19dd85eb7419e163b5b076bede2bdb5c974c07e4"
+"checksum num-integer 0.1.42 (registry+https://github.com/rust-lang/crates.io-index)" = "3f6ea62e9d81a77cd3ee9a2a5b9b609447857f3d358704331e4ef39eb247fcba"
+"checksum num-iter 0.1.40 (registry+https://github.com/rust-lang/crates.io-index)" = "dfb0800a0291891dd9f4fe7bd9c19384f98f7fbe0cd0f39a2c6b88b9868bbc00"
+"checksum num-rational 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)" = "da4dc79f9e6c81bef96148c8f6b8e72ad4541caa4a24373e900a36da07de03a3"
+"checksum num-traits 0.2.11 (registry+https://github.com/rust-lang/crates.io-index)" = "c62be47e61d1842b9170f0fdeec8eba98e60e90e5446449a0545e5152acd7096"
 "checksum ordered-float 1.0.2 (registry+https://github.com/rust-lang/crates.io-index)" = "18869315e81473c951eb56ad5558bbc56978562d3ecfb87abb7a1e944cea4518"
 "checksum paste 0.1.6 (registry+https://github.com/rust-lang/crates.io-index)" = "423a519e1c6e828f1e73b720f9d9ed2fa643dce8a7737fb43235ce0b41eeaa49"
 "checksum paste-impl 0.1.6 (registry+https://github.com/rust-lang/crates.io-index)" = "4214c9e912ef61bf42b81ba9a47e8aad1b2ffaf739ab162bf96d1e011f54e6c5"
@@ -1111,7 +1117,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 "checksum quote 0.6.13 (registry+https://github.com/rust-lang/crates.io-index)" = "6ce23b6b870e8f94f81fb0a363d65d86675884b34a09043c81e5562f11c1f8e1"
 "checksum quote 1.0.2 (registry+https://github.com/rust-lang/crates.io-index)" = "053a8c8bcc71fcce321828dc897a98ab9760bef03a4fc36693c231e5b3216cfe"
 "checksum rand 0.6.5 (registry+https://github.com/rust-lang/crates.io-index)" = "6d71dacdc3c88c1fde3885a3be3fbab9f35724e6ce99467f7d9c5026132184ca"
-"checksum rand 0.7.2 (registry+https://github.com/rust-lang/crates.io-index)" = "3ae1b169243eaf61759b8475a998f0a385e42042370f3a7dbaf35246eacc8412"
+"checksum rand 0.7.3 (registry+https://github.com/rust-lang/crates.io-index)" = "6a6b1679d49b24bbfe0c803429aa1874472f50d9b363131f0e89fc356b544d03"
 "checksum rand_chacha 0.1.1 (registry+https://github.com/rust-lang/crates.io-index)" = "556d3a1ca6600bfcbab7c7c91ccb085ac7fbbcd70e008a98742e7847f4f7bcef"
 "checksum rand_chacha 0.2.1 (registry+https://github.com/rust-lang/crates.io-index)" = "03a2a90da8c7523f554344f921aa97283eadf6ac484a6d2a7d0212fa7f8d6853"
 "checksum rand_core 0.3.1 (registry+https://github.com/rust-lang/crates.io-index)" = "7a6fdeb83b075e8266dcc8762c22776f6877a63111121f5f8c7411e5be7eed4b"
@@ -1129,7 +1135,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 "checksum rand_xoshiro 0.4.0 (registry+https://github.com/rust-lang/crates.io-index)" = "a9fcdd2e881d02f1d9390ae47ad8e5696a9e4be7b547a1da2afbc61973217004"
 "checksum rawpointer 0.2.1 (registry+https://github.com/rust-lang/crates.io-index)" = "60a357793950651c4ed0f3f52338f53b2f809f32d83a07f72909fa13e4c6c1e3"
 "checksum rdrand 0.4.0 (registry+https://github.com/rust-lang/crates.io-index)" = "678054eb77286b51581ba43620cc911abf02758c91f93f479767aed0f90458b2"
-"checksum regex 1.3.2 (registry+https://github.com/rust-lang/crates.io-index)" = "e132dca7dca8da635b3bd4a42abf254bcf8b2c0658e883fed61cefb87b3635ab"
+"checksum regex 1.3.3 (registry+https://github.com/rust-lang/crates.io-index)" = "b5508c1941e4e7cb19965abef075d35a9a8b5cdf0846f30b4050e9b55dc55e87"
 "checksum regex-syntax 0.6.13 (registry+https://github.com/rust-lang/crates.io-index)" = "e734e891f5b408a29efbf8309e656876276f49ab6a6ac208600b4419bd893d90"
 "checksum rustc-hash 1.0.1 (registry+https://github.com/rust-lang/crates.io-index)" = "7540fc8b0c49f096ee9c961cda096467dce8084bec6bdca2fc83895fd9b28cb8"
 "checksum rustc_version 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)" = "138e3e0acb6c9fb258b19b67cb8abd63c00679d2851805ea151465464fe9030a"
@@ -1146,7 +1152,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 "checksum syn 1.0.13 (registry+https://github.com/rust-lang/crates.io-index)" = "1e4ff033220a41d1a57d8125eab57bf5263783dfdcc18688b1dacc6ce9651ef8"
 "checksum take_mut 0.2.2 (registry+https://github.com/rust-lang/crates.io-index)" = "f764005d11ee5f36500a149ace24e00e3da98b0158b3e2d53a7495660d3f4d60"
 "checksum text_io 0.1.7 (registry+https://github.com/rust-lang/crates.io-index)" = "9658b61ebd1d2a40c276ba2335890b9eb6550b67458a6fbce2022e58c3350a50"
-"checksum thread_local 0.3.6 (registry+https://github.com/rust-lang/crates.io-index)" = "c6b53e329000edc2b34dbe8545fd20e55a333362d0a321909685a19bd28c3f1b"
+"checksum thread_local 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)" = "88ddf1ad580c7e3d1efff877d972bcc93f995556b9087a5a259630985c88ceab"
 "checksum typenum 1.11.2 (registry+https://github.com/rust-lang/crates.io-index)" = "6d2783fe2d6b8c1101136184eb41be8b1ad379e4657050b8aaff0c79ee7575f9"
 "checksum unicode-segmentation 1.6.0 (registry+https://github.com/rust-lang/crates.io-index)" = "e83e153d1053cbb5a118eeff7fd5be06ed99153f00dbcd8ae310c5fb2b22edc0"
 "checksum unicode-xid 0.1.0 (registry+https://github.com/rust-lang/crates.io-index)" = "fc72304796d0818e357ead4e000d19c9c174ab23dc11093ac919054d20a6a7fc"
diff --git a/Cargo.toml b/Cargo.toml
index 54cbc7f..0f6ef70 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -24,13 +24,13 @@ default = ["jemalloc"]
 # AtCoder 2019年言語アップデート以降に使用できるクレート
 
 # 多バイト長整数、分数、複素数など
-num = "=0.2.0"
-num-bigint = "=0.2.4"
-num-complex = "=0.2.3"
-num-integer = "=0.1.41"
-num-iter = "=0.1.39"
-num-rational = "=0.2.2"
-num-traits = "=0.2.10"
+num = "=0.2.1"
+num-bigint = "=0.2.5"
+num-complex = "=0.2.4"
+num-integer = "=0.1.42"
+num-iter = "=0.1.40"
+num-rational = "=0.2.3"
+num-traits = "=0.2.11"
 # `num-traits`用のderive macros
 num-derive = "=0.3.0"
 
@@ -45,7 +45,7 @@ alga = "=0.9.2"
 libm = "=0.2.1"
 
 # RNG 疑似乱数生成器 (randファミリー)
-rand = { version = "=0.7.2", features = ["small_rng"] }
+rand = { version = "=0.7.3", features = ["small_rng"] }
 getrandom = "=0.1.14"
 rand_chacha = "=0.2.1"
 rand_core = "=0.5.1"
@@ -70,7 +70,7 @@ primal-sieve = "=0.2.9"
 indexmap = "=1.3.0"
 
 # 正規表現
-regex = "=1.3.2"
+regex = "=1.3.3"
 
 # パーサーコンビネータ
 nom = "=5.1.0"