Add ability to escape variable expansion in policy (#5035)

* Add ability to escape variables.

* Make go vet happy.

* Generate NOTICE.txt.

* Add changelog.

NOTICE.txt

@@ -42,39 +42,41 @@ SOFTWARE.
 
 
 --------------------------------------------------------------------------------
-Dependency : github.com/antlr/antlr4/runtime/Go/antlr/v4
-Version: v4.0.0-20230321174746-8dcc6526cfb1
+Dependency : github.com/antlr4-go/antlr/v4
+Version: v4.13.0
 Licence type (autodetected): BSD-3-Clause
 --------------------------------------------------------------------------------
 
-Contents of probable licence file $GOMODCACHE/github.com/antlr/antlr4/runtime/!go/antlr/v4@v4.0.0-20230321174746-8dcc6526cfb1/LICENSE:
+Contents of probable licence file $GOMODCACHE/github.com/antlr4-go/antlr/v4@v4.13.0/LICENSE:
 
-Copyright 2021 The ANTLR Project
+Copyright (c) 2012-2023 The ANTLR Project. All rights reserved.
 
-Redistribution and use in source and binary forms, with or without modification,
-are permitted provided that the following conditions are met:
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
 
-    1. Redistributions of source code must retain the above copyright notice,
-    this list of conditions and the following disclaimer.
+1. Redistributions of source code must retain the above copyright
+notice, this list of conditions and the following disclaimer.
 
-    2. Redistributions in binary form must reproduce the above copyright notice,
-    this list of conditions and the following disclaimer in the documentation
-    and/or other materials provided with the distribution.
+2. Redistributions in binary form must reproduce the above copyright
+notice, this list of conditions and the following disclaimer in the
+documentation and/or other materials provided with the distribution.
 
-    3. Neither the name of the copyright holder nor the names of its
-    contributors may be used to endorse or promote products derived from this
-    software without specific prior written permission.
+3. Neither name of copyright holders nor the names of its contributors
+may be used to endorse or promote products derived from this software
+without specific prior written permission.
 
-THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
-ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
-WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR
+CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 
 
 --------------------------------------------------------------------------------

changelog/fragments/1719935188-Add-ability-to-escape-variables-in-policy.yaml

@@ -0,0 +1,34 @@
+# Kind can be one of:
+# - breaking-change: a change to previously-documented behavior
+# - deprecation: functionality that is being removed in a later release
+# - bug-fix: fixes a problem in a previous version
+# - enhancement: extends functionality but does not break or fix existing behavior
+# - feature: new functionality
+# - known-issue: problems that we are aware of in a given version
+# - security: impacts on the security of a product or a user’s deployment.
+# - upgrade: important information for someone upgrading from a prior version
+# - other: does not fit into any of the other categories
+kind: enhancement
+
+# Change summary; a 80ish characters long description of the change.
+summary: Add ability to escape variables in policy
+
+# Long description; in case the summary is not enough to describe the change
+# this field accommodate a description without length limits.
+# NOTE: This field will be rendered only for breaking-change and known-issue kinds at the moment.
+description: |
+  Adds the ability to escape variables with prefix of '$' allow variables such as `$${...}` to be escaped and
+  included in the computed policy as `${...}`.
+
+# Affected component; usually one of "elastic-agent", "fleet-server", "filebeat", "metricbeat", "auditbeat", "all", etc.
+component: elastic-agent
+
+# PR URL; optional; the PR number that added the changeset.
+# If not present is automatically filled by the tooling finding the PR where this changelog fragment has been added.
+# NOTE: the tooling supports backports, so it's able to fill the original PR number instead of the backport PR number.
+# Please provide it if you are adding a fragment for a different PR.
+pr: https://github.com/elastic/elastic-agent/pull/5035
+
+# Issue URL; optional; the GitHub issue related to this changeset (either closes or is part of).
+# If not present is automatically filled by the tooling with the issue linked to the PR number.
+issue: https://github.com/elastic/elastic-agent/issues/2177

go.mod

@@ -4,7 +4,7 @@ go 1.22.4
 
 require (
 	github.com/Microsoft/go-winio v0.6.2
-	github.com/antlr/antlr4/runtime/Go/antlr/v4 v4.0.0-20230321174746-8dcc6526cfb1
+	github.com/antlr4-go/antlr/v4 v4.13.0
 	github.com/billgraziano/dpapi v0.4.0
 	github.com/blakesmith/ar v0.0.0-20150311145944-8bd4349a67f2
 	github.com/cavaliercoder/go-rpm v0.0.0-20190131055624-7a9c54e3d83e

go.sum

@@ -499,8 +499,8 @@ github.com/anmitsu/go-shlex v0.0.0-20200514113438-38f4b401e2be/go.mod h1:ySMOLuW
 github.com/antihax/optional v1.0.0/go.mod h1:uupD/76wgC+ih3iEmQUL+0Ugr19nfwCT1kdvxnR2qWY=
 github.com/antlr/antlr4/runtime/Go/antlr v0.0.0-20220418222510-f25a4f6275ed/go.mod h1:F7bn7fEU90QkQ3tnmaTx3LTKLEDqnwWODIYppRQ5hnY=
 github.com/antlr/antlr4/runtime/Go/antlr v1.4.10/go.mod h1:F7bn7fEU90QkQ3tnmaTx3LTKLEDqnwWODIYppRQ5hnY=
-github.com/antlr/antlr4/runtime/Go/antlr/v4 v4.0.0-20230321174746-8dcc6526cfb1 h1:X8MJ0fnN5FPdcGF5Ij2/OW+HgiJrRg3AfHAx1PJtIzM=
-github.com/antlr/antlr4/runtime/Go/antlr/v4 v4.0.0-20230321174746-8dcc6526cfb1/go.mod h1:pSwJ0fSY5KhvocuWSx4fz3BA8OrA1bQn+K1Eli3BRwM=
+github.com/antlr4-go/antlr/v4 v4.13.0 h1:lxCg3LAv+EUK6t1i0y1V6/SLeUi0eKEKdhQAlS8TVTI=
+github.com/antlr4-go/antlr/v4 v4.13.0/go.mod h1:pfChB/xh/Unjila75QW7+VU4TSnWnnk9UTnmpPaOR2g=
 github.com/armon/circbuf v0.0.0-20150827004946-bbbad097214e/go.mod h1:3U/XgcO3hCbHZ8TKRvWD2dDTCfh9M9ya+I9JpbB7O8o=
 github.com/armon/consul-api v0.0.0-20180202201655-eb2c6b5be1b6/go.mod h1:grANhF5doyWs3UAsr3K4I6qtAmlQcZDesFNEHPZAzj8=
 github.com/armon/go-metrics v0.0.0-20180917152333-f0300d1749da/go.mod h1:Q73ZrmVTwzkszR9V5SSuryQ31EELlFMUz1kKyl939pY=

internal/pkg/agent/transpiler/vars.go

@@ -14,7 +14,7 @@ import (
 	"github.com/elastic/elastic-agent/internal/pkg/core/composable"
 )
 
-var varsRegex = regexp.MustCompile(`\${([\p{L}\d\s\\\-_|.'":\/]*)}`)
+var varsRegex = regexp.MustCompile(`\$\$?{([\p{L}\d\s\\\-_|.'":\/]*)}`)
 
 // ErrNoMatch is return when the replace didn't fail, just that no vars match to perform the replace.
 var ErrNoMatch = fmt.Errorf("no matching vars")
@@ -53,6 +53,13 @@ func (v *Vars) Replace(value string) (Node, error) {
 	lastIndex := 0
 	for _, r := range matchIdxs {
 		for i := 0; i < len(r); i += 4 {
+			if value[r[i]+1] == '$' {
+				// match on an escaped var, append the raw string with the '$' prefix removed
+				result += value[lastIndex:r[0]] + value[r[i]+1:r[i+1]]
+				lastIndex = r[1]
+				continue
+			}
+			// match on a non-escaped var
 			vars, err := extractVars(value[r[i+2]:r[i+3]])
 			if err != nil {
 				return nil, fmt.Errorf(`error parsing variable "%s": %w`, value[r[i]:r[i+1]], err)

internal/pkg/agent/transpiler/vars_test.go

@@ -203,6 +203,12 @@ func TestVars_Replace(t *testing.T) {
 			false,
 			true,
 		},
+		{
+			`start $${keep} ${un-der_score.key1} $${un-der_score.key1}`,
+			NewStrVal(`start ${keep} data1 ${un-der_score.key1}`),
+			false,
+			false,
+		},
 	}
 	for _, test := range tests {
 		t.Run(test.Input, func(t *testing.T) {

internal/pkg/eql/Eql.g4

@@ -31,6 +31,7 @@ LARR: '[';
 RARR: ']';
 LDICT: '{';
 RDICT: '}';
+BEGIN_EVARIABLE: '$${';
 BEGIN_VARIABLE: '${';
 
 expList: exp EOF;
@@ -71,6 +72,7 @@ exp
 | left=exp AND right=exp # ExpLogicalAnd
 | left=exp OR right=exp # ExpLogicalOR
 | boolean # ExpBoolean
+| BEGIN_EVARIABLE variableExp RDICT # ExpEVariable
 | BEGIN_VARIABLE variableExp RDICT # ExpVariable
 | NAME LPAR arguments? RPAR # ExpFunction
 | LARR array? RARR # ExpArray

internal/pkg/eql/eql_test.go

@@ -9,7 +9,7 @@ import (
 	"os"
 	"testing"
 
-	"github.com/antlr/antlr4/runtime/Go/antlr/v4"
+	"github.com/antlr4-go/antlr/v4"
 	"github.com/stretchr/testify/assert"
 	"github.com/stretchr/testify/require"
 
@@ -58,6 +58,10 @@ func TestEql(t *testing.T) {
 		result           bool
 		err              bool
 	}{
+		// escaped variables (not allowed)
+		{expression: "$${env.HOSTNAME|host.name|'fallback'}", err: true},
+		{expression: "$${env.HOSTNAME}", err: true},
+
 		// variables
 		{expression: "${env.HOSTNAME|host.name|'fallback'} == 'my-hostname'", result: true},
 		{expression: "${env.MISSING|host.name|'fallback'} == 'host-name'", result: true},
@@ -72,6 +76,12 @@ func TestEql(t *testing.T) {
 		{expression: "${'dash-value'} == 'dash-value'", result: true},
 		{expression: "${data.with/slash} == 'some/path'", result: true},
 
+		// constant of variables
+		{expression: "'${env.HOSTNAME}' == '${env.HOSTNAME}'", result: true},
+		{expression: "'${env.HOSTNAME}' == '${env.HOSTSAME}'", result: false},
+		{expression: "'$${env.HOSTNAME}' == '$${env.HOSTNAME}'", result: true},
+		{expression: "'$${env.HOSTNAME}' == '$${env.HOSTSAME}'", result: false},
+
 		// boolean
 		{expression: "true", result: true},
 		{expression: "false", result: false},
@@ -356,6 +366,7 @@ func TestEql(t *testing.T) {
 	store := &testVarStore{
 		vars: map[string]interface{}{
 			"env.HOSTNAME":    "my-hostname",
+			"env.HOSTSAME":    "my-hostname",
 			"host.name":       "host-name",
 			"data.array":      []interface{}{"array1", "array2", "array3"},
 			"data.with-dash":  "dash-value",

internal/pkg/eql/expression.go

@@ -8,7 +8,7 @@ import (
 	"errors"
 	"fmt"
 
-	"github.com/antlr/antlr4/runtime/Go/antlr/v4"
+	"github.com/antlr4-go/antlr/v4"
 	"github.com/hashicorp/go-multierror"
 
 	"github.com/elastic/elastic-agent/internal/pkg/eql/parser"

internal/pkg/eql/parser/Eql.interp

@@ -32,6 +32,7 @@ null
 ']'
 '{'
 '}'
+'$${'
 '${'
 
 token symbolic names:
@@ -68,6 +69,7 @@ LARR
 RARR
 LDICT
 RDICT
+BEGIN_EVARIABLE
 BEGIN_VARIABLE
 
 rule names:
@@ -84,4 +86,4 @@ dict
 
 
 atn:
-[4, 1, 33, 142, 2, 0, 7, 0, 2, 1, 7, 1, 2, 2, 7, 2, 2, 3, 7, 3, 2, 4, 7, 4, 2, 5, 7, 5, 2, 6, 7, 6, 2, 7, 7, 7, 2, 8, 7, 8, 2, 9, 7, 9, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 3, 2, 31, 8, 2, 1, 3, 1, 3, 1, 3, 3, 3, 36, 8, 3, 1, 4, 1, 4, 1, 4, 5, 4, 41, 8, 4, 10, 4, 12, 4, 44, 9, 4, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 3, 5, 61, 8, 5, 1, 5, 1, 5, 1, 5, 3, 5, 66, 8, 5, 1, 5, 1, 5, 1, 5, 3, 5, 71, 8, 5, 1, 5, 1, 5, 1, 5, 1, 5, 3, 5, 77, 8, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 5, 5, 109, 8, 5, 10, 5, 12, 5, 112, 9, 5, 1, 6, 1, 6, 1, 6, 5, 6, 117, 8, 6, 10, 6, 12, 6, 120, 9, 6, 1, 7, 1, 7, 1, 7, 5, 7, 125, 8, 7, 10, 7, 12, 7, 128, 9, 7, 1, 8, 1, 8, 1, 8, 1, 8, 1, 9, 1, 9, 1, 9, 5, 9, 137, 8, 9, 10, 9, 12, 9, 140, 9, 9, 1, 9, 0, 1, 10, 10, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 5, 1, 0, 17, 18, 1, 0, 25, 26, 1, 0, 12, 14, 1, 0, 10, 11, 2, 0, 23, 23, 25, 26, 163, 0, 20, 1, 0, 0, 0, 2, 23, 1, 0, 0, 0, 4, 30, 1, 0, 0, 0, 6, 35, 1, 0, 0, 0, 8, 37, 1, 0, 0, 0, 10, 76, 1, 0, 0, 0, 12, 113, 1, 0, 0, 0, 14, 121, 1, 0, 0, 0, 16, 129, 1, 0, 0, 0, 18, 133, 1, 0, 0, 0, 20, 21, 3, 10, 5, 0, 21, 22, 5, 0, 0, 1, 22, 1, 1, 0, 0, 0, 23, 24, 7, 0, 0, 0, 24, 3, 1, 0, 0, 0, 25, 31, 5, 25, 0, 0, 26, 31, 5, 26, 0, 0, 27, 31, 5, 19, 0, 0, 28, 31, 5, 20, 0, 0, 29, 31, 3, 2, 1, 0, 30, 25, 1, 0, 0, 0, 30, 26, 1, 0, 0, 0, 30, 27, 1, 0, 0, 0, 30, 28, 1, 0, 0, 0, 30, 29, 1, 0, 0, 0, 31, 5, 1, 0, 0, 0, 32, 36, 5, 23, 0, 0, 33, 36, 5, 24, 0, 0, 34, 36, 3, 4, 2, 0, 35, 32, 1, 0, 0, 0, 35, 33, 1, 0, 0, 0, 35, 34, 1, 0, 0, 0, 36, 7, 1, 0, 0, 0, 37, 42, 3, 6, 3, 0, 38, 39, 5, 1, 0, 0, 39, 41, 3, 6, 3, 0, 40, 38, 1, 0, 0, 0, 41, 44, 1, 0, 0, 0, 42, 40, 1, 0, 0, 0, 42, 43, 1, 0, 0, 0, 43, 9, 1, 0, 0, 0, 44, 42, 1, 0, 0, 0, 45, 46, 6, 5, -1, 0, 46, 47, 5, 27, 0, 0, 47, 48, 3, 10, 5, 0, 48, 49, 5, 28, 0, 0, 49, 77, 1, 0, 0, 0, 50, 51, 5, 22, 0, 0, 51, 77, 3, 10, 5, 17, 52, 77, 3, 2, 1, 0, 53, 54, 5, 33, 0, 0, 54, 55, 3, 8, 4, 0, 55, 56, 5, 32, 0, 0, 56, 77, 1, 0, 0, 0, 57, 58, 5, 23, 0, 0, 58, 60, 5, 27, 0, 0, 59, 61, 3, 12, 6, 0, 60, 59, 1, 0, 0, 0, 60, 61, 1, 0, 0, 0, 61, 62, 1, 0, 0, 0, 62, 77, 5, 28, 0, 0, 63, 65, 5, 29, 0, 0, 64, 66, 3, 14, 7, 0, 65, 64, 1, 0, 0, 0, 65, 66, 1, 0, 0, 0, 66, 67, 1, 0, 0, 0, 67, 77, 5, 30, 0, 0, 68, 70, 5, 31, 0, 0, 69, 71, 3, 18, 9, 0, 70, 69, 1, 0, 0, 0, 70, 71, 1, 0, 0, 0, 71, 72, 1, 0, 0, 0, 72, 77, 5, 32, 0, 0, 73, 77, 7, 1, 0, 0, 74, 77, 5, 19, 0, 0, 75, 77, 5, 20, 0, 0, 76, 45, 1, 0, 0, 0, 76, 50, 1, 0, 0, 0, 76, 52, 1, 0, 0, 0, 76, 53, 1, 0, 0, 0, 76, 57, 1, 0, 0, 0, 76, 63, 1, 0, 0, 0, 76, 68, 1, 0, 0, 0, 76, 73, 1, 0, 0, 0, 76, 74, 1, 0, 0, 0, 76, 75, 1, 0, 0, 0, 77, 110, 1, 0, 0, 0, 78, 79, 10, 19, 0, 0, 79, 80, 7, 2, 0, 0, 80, 109, 3, 10, 5, 20, 81, 82, 10, 18, 0, 0, 82, 83, 7, 3, 0, 0, 83, 109, 3, 10, 5, 19, 84, 85, 10, 16, 0, 0, 85, 86, 5, 4, 0, 0, 86, 109, 3, 10, 5, 17, 87, 88, 10, 15, 0, 0, 88, 89, 5, 5, 0, 0, 89, 109, 3, 10, 5, 16, 90, 91, 10, 14, 0, 0, 91, 92, 5, 9, 0, 0, 92, 109, 3, 10, 5, 15, 93, 94, 10, 13, 0, 0, 94, 95, 5, 8, 0, 0, 95, 109, 3, 10, 5, 14, 96, 97, 10, 12, 0, 0, 97, 98, 5, 7, 0, 0, 98, 109, 3, 10, 5, 13, 99, 100, 10, 11, 0, 0, 100, 101, 5, 6, 0, 0, 101, 109, 3, 10, 5, 12, 102, 103, 10, 10, 0, 0, 103, 104, 5, 15, 0, 0, 104, 109, 3, 10, 5, 11, 105, 106, 10, 9, 0, 0, 106, 107, 5, 16, 0, 0, 107, 109, 3, 10, 5, 10, 108, 78, 1, 0, 0, 0, 108, 81, 1, 0, 0, 0, 108, 84, 1, 0, 0, 0, 108, 87, 1, 0, 0, 0, 108, 90, 1, 0, 0, 0, 108, 93, 1, 0, 0, 0, 108, 96, 1, 0, 0, 0, 108, 99, 1, 0, 0, 0, 108, 102, 1, 0, 0, 0, 108, 105, 1, 0, 0, 0, 109, 112, 1, 0, 0, 0, 110, 108, 1, 0, 0, 0, 110, 111, 1, 0, 0, 0, 111, 11, 1, 0, 0, 0, 112, 110, 1, 0, 0, 0, 113, 118, 3, 10, 5, 0, 114, 115, 5, 2, 0, 0, 115, 117, 3, 10, 5, 0, 116, 114, 1, 0, 0, 0, 117, 120, 1, 0, 0, 0, 118, 116, 1, 0, 0, 0, 118, 119, 1, 0, 0, 0, 119, 13, 1, 0, 0, 0, 120, 118, 1, 0, 0, 0, 121, 126, 3, 4, 2, 0, 122, 123, 5, 2, 0, 0, 123, 125, 3, 4, 2, 0, 124, 122, 1, 0, 0, 0, 125, 128, 1, 0, 0, 0, 126, 124, 1, 0, 0, 0, 126, 127, 1, 0, 0, 0, 127, 15, 1, 0, 0, 0, 128, 126, 1, 0, 0, 0, 129, 130, 7, 4, 0, 0, 130, 131, 5, 3, 0, 0, 131, 132, 3, 4, 2, 0, 132, 17, 1, 0, 0, 0, 133, 138, 3, 16, 8, 0, 134, 135, 5, 2, 0, 0, 135, 137, 3, 16, 8, 0, 136, 134, 1, 0, 0, 0, 137, 140, 1, 0, 0, 0, 138, 136, 1, 0, 0, 0, 138, 139, 1, 0, 0, 0, 139, 19, 1, 0, 0, 0, 140, 138, 1, 0, 0, 0, 12, 30, 35, 42, 60, 65, 70, 76, 108, 110, 118, 126, 138]
+[4, 1, 34, 146, 2, 0, 7, 0, 2, 1, 7, 1, 2, 2, 7, 2, 2, 3, 7, 3, 2, 4, 7, 4, 2, 5, 7, 5, 2, 6, 7, 6, 2, 7, 7, 7, 2, 8, 7, 8, 2, 9, 7, 9, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 3, 2, 31, 8, 2, 1, 3, 1, 3, 1, 3, 3, 3, 36, 8, 3, 1, 4, 1, 4, 1, 4, 5, 4, 41, 8, 4, 10, 4, 12, 4, 44, 9, 4, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 3, 5, 65, 8, 5, 1, 5, 1, 5, 1, 5, 3, 5, 70, 8, 5, 1, 5, 1, 5, 1, 5, 3, 5, 75, 8, 5, 1, 5, 1, 5, 1, 5, 1, 5, 3, 5, 81, 8, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 5, 5, 113, 8, 5, 10, 5, 12, 5, 116, 9, 5, 1, 6, 1, 6, 1, 6, 5, 6, 121, 8, 6, 10, 6, 12, 6, 124, 9, 6, 1, 7, 1, 7, 1, 7, 5, 7, 129, 8, 7, 10, 7, 12, 7, 132, 9, 7, 1, 8, 1, 8, 1, 8, 1, 8, 1, 9, 1, 9, 1, 9, 5, 9, 141, 8, 9, 10, 9, 12, 9, 144, 9, 9, 1, 9, 0, 1, 10, 10, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 0, 5, 1, 0, 17, 18, 1, 0, 25, 26, 1, 0, 12, 14, 1, 0, 10, 11, 2, 0, 23, 23, 25, 26, 168, 0, 20, 1, 0, 0, 0, 2, 23, 1, 0, 0, 0, 4, 30, 1, 0, 0, 0, 6, 35, 1, 0, 0, 0, 8, 37, 1, 0, 0, 0, 10, 80, 1, 0, 0, 0, 12, 117, 1, 0, 0, 0, 14, 125, 1, 0, 0, 0, 16, 133, 1, 0, 0, 0, 18, 137, 1, 0, 0, 0, 20, 21, 3, 10, 5, 0, 21, 22, 5, 0, 0, 1, 22, 1, 1, 0, 0, 0, 23, 24, 7, 0, 0, 0, 24, 3, 1, 0, 0, 0, 25, 31, 5, 25, 0, 0, 26, 31, 5, 26, 0, 0, 27, 31, 5, 19, 0, 0, 28, 31, 5, 20, 0, 0, 29, 31, 3, 2, 1, 0, 30, 25, 1, 0, 0, 0, 30, 26, 1, 0, 0, 0, 30, 27, 1, 0, 0, 0, 30, 28, 1, 0, 0, 0, 30, 29, 1, 0, 0, 0, 31, 5, 1, 0, 0, 0, 32, 36, 5, 23, 0, 0, 33, 36, 5, 24, 0, 0, 34, 36, 3, 4, 2, 0, 35, 32, 1, 0, 0, 0, 35, 33, 1, 0, 0, 0, 35, 34, 1, 0, 0, 0, 36, 7, 1, 0, 0, 0, 37, 42, 3, 6, 3, 0, 38, 39, 5, 1, 0, 0, 39, 41, 3, 6, 3, 0, 40, 38, 1, 0, 0, 0, 41, 44, 1, 0, 0, 0, 42, 40, 1, 0, 0, 0, 42, 43, 1, 0, 0, 0, 43, 9, 1, 0, 0, 0, 44, 42, 1, 0, 0, 0, 45, 46, 6, 5, -1, 0, 46, 47, 5, 27, 0, 0, 47, 48, 3, 10, 5, 0, 48, 49, 5, 28, 0, 0, 49, 81, 1, 0, 0, 0, 50, 51, 5, 22, 0, 0, 51, 81, 3, 10, 5, 18, 52, 81, 3, 2, 1, 0, 53, 54, 5, 33, 0, 0, 54, 55, 3, 8, 4, 0, 55, 56, 5, 32, 0, 0, 56, 81, 1, 0, 0, 0, 57, 58, 5, 34, 0, 0, 58, 59, 3, 8, 4, 0, 59, 60, 5, 32, 0, 0, 60, 81, 1, 0, 0, 0, 61, 62, 5, 23, 0, 0, 62, 64, 5, 27, 0, 0, 63, 65, 3, 12, 6, 0, 64, 63, 1, 0, 0, 0, 64, 65, 1, 0, 0, 0, 65, 66, 1, 0, 0, 0, 66, 81, 5, 28, 0, 0, 67, 69, 5, 29, 0, 0, 68, 70, 3, 14, 7, 0, 69, 68, 1, 0, 0, 0, 69, 70, 1, 0, 0, 0, 70, 71, 1, 0, 0, 0, 71, 81, 5, 30, 0, 0, 72, 74, 5, 31, 0, 0, 73, 75, 3, 18, 9, 0, 74, 73, 1, 0, 0, 0, 74, 75, 1, 0, 0, 0, 75, 76, 1, 0, 0, 0, 76, 81, 5, 32, 0, 0, 77, 81, 7, 1, 0, 0, 78, 81, 5, 19, 0, 0, 79, 81, 5, 20, 0, 0, 80, 45, 1, 0, 0, 0, 80, 50, 1, 0, 0, 0, 80, 52, 1, 0, 0, 0, 80, 53, 1, 0, 0, 0, 80, 57, 1, 0, 0, 0, 80, 61, 1, 0, 0, 0, 80, 67, 1, 0, 0, 0, 80, 72, 1, 0, 0, 0, 80, 77, 1, 0, 0, 0, 80, 78, 1, 0, 0, 0, 80, 79, 1, 0, 0, 0, 81, 114, 1, 0, 0, 0, 82, 83, 10, 20, 0, 0, 83, 84, 7, 2, 0, 0, 84, 113, 3, 10, 5, 21, 85, 86, 10, 19, 0, 0, 86, 87, 7, 3, 0, 0, 87, 113, 3, 10, 5, 20, 88, 89, 10, 17, 0, 0, 89, 90, 5, 4, 0, 0, 90, 113, 3, 10, 5, 18, 91, 92, 10, 16, 0, 0, 92, 93, 5, 5, 0, 0, 93, 113, 3, 10, 5, 17, 94, 95, 10, 15, 0, 0, 95, 96, 5, 9, 0, 0, 96, 113, 3, 10, 5, 16, 97, 98, 10, 14, 0, 0, 98, 99, 5, 8, 0, 0, 99, 113, 3, 10, 5, 15, 100, 101, 10, 13, 0, 0, 101, 102, 5, 7, 0, 0, 102, 113, 3, 10, 5, 14, 103, 104, 10, 12, 0, 0, 104, 105, 5, 6, 0, 0, 105, 113, 3, 10, 5, 13, 106, 107, 10, 11, 0, 0, 107, 108, 5, 15, 0, 0, 108, 113, 3, 10, 5, 12, 109, 110, 10, 10, 0, 0, 110, 111, 5, 16, 0, 0, 111, 113, 3, 10, 5, 11, 112, 82, 1, 0, 0, 0, 112, 85, 1, 0, 0, 0, 112, 88, 1, 0, 0, 0, 112, 91, 1, 0, 0, 0, 112, 94, 1, 0, 0, 0, 112, 97, 1, 0, 0, 0, 112, 100, 1, 0, 0, 0, 112, 103, 1, 0, 0, 0, 112, 106, 1, 0, 0, 0, 112, 109, 1, 0, 0, 0, 113, 116, 1, 0, 0, 0, 114, 112, 1, 0, 0, 0, 114, 115, 1, 0, 0, 0, 115, 11, 1, 0, 0, 0, 116, 114, 1, 0, 0, 0, 117, 122, 3, 10, 5, 0, 118, 119, 5, 2, 0, 0, 119, 121, 3, 10, 5, 0, 120, 118, 1, 0, 0, 0, 121, 124, 1, 0, 0, 0, 122, 120, 1, 0, 0, 0, 122, 123, 1, 0, 0, 0, 123, 13, 1, 0, 0, 0, 124, 122, 1, 0, 0, 0, 125, 130, 3, 4, 2, 0, 126, 127, 5, 2, 0, 0, 127, 129, 3, 4, 2, 0, 128, 126, 1, 0, 0, 0, 129, 132, 1, 0, 0, 0, 130, 128, 1, 0, 0, 0, 130, 131, 1, 0, 0, 0, 131, 15, 1, 0, 0, 0, 132, 130, 1, 0, 0, 0, 133, 134, 7, 4, 0, 0, 134, 135, 5, 3, 0, 0, 135, 136, 3, 4, 2, 0, 136, 17, 1, 0, 0, 0, 137, 142, 3, 16, 8, 0, 138, 139, 5, 2, 0, 0, 139, 141, 3, 16, 8, 0, 140, 138, 1, 0, 0, 0, 141, 144, 1, 0, 0, 0, 142, 140, 1, 0, 0, 0, 142, 143, 1, 0, 0, 0, 143, 19, 1, 0, 0, 0, 144, 142, 1, 0, 0, 0, 12, 30, 35, 42, 64, 69, 74, 80, 112, 114, 122, 130, 142]