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1 | 1 | package g0701_0800.s0770_basic_calculator_iv; |
2 | 2 |
|
3 | 3 | // #Hard #String #Hash_Table #Math #Stack #Recursion |
4 | | -// #2025_04_17_Time_8_ms_(95.70%)_Space_45.18_MB_(49.46%) |
| 4 | +// #2025_04_18_Time_8_ms_(95.70%)_Space_44.97_MB_(82.80%) |
5 | 5 |
|
6 | 6 | import java.util.ArrayList; |
7 | | -import java.util.Arrays; |
8 | 7 | import java.util.Collections; |
9 | | -import java.util.Comparator; |
10 | 8 | import java.util.HashMap; |
11 | 9 | import java.util.List; |
12 | 10 | import java.util.Map; |
13 | | -import java.util.TreeMap; |
14 | 11 |
|
15 | 12 | public class Solution { |
16 | | - private String s; |
17 | | - private char[] arr; |
18 | | - private int[] braces; |
19 | | - private final Map<String, Integer> variables = new HashMap<>(); |
| 13 | + private static class Result { |
| 14 | + private Map<List<String>, Integer> map; |
20 | 15 |
|
21 | | - public List<String> basicCalculatorIV(String expression, String[] evalvars, int[] evalints) { |
22 | | - s = expression; |
23 | | - arr = s.toCharArray(); |
24 | | - int n = arr.length; |
25 | | - braces = new int[n]; |
26 | | - Arrays.fill(braces, -1); |
27 | | - int[] stack = new int[n / 2]; |
28 | | - int index = -1; |
29 | | - for (int i = 0; i < n; ++i) { |
30 | | - if (arr[i] == '(') { |
31 | | - stack[++index] = i; |
32 | | - } else if (arr[i] == ')') { |
33 | | - int last = stack[index--]; |
34 | | - braces[last] = i; |
35 | | - braces[i] = last; |
36 | | - } |
| 16 | + Result() { |
| 17 | + map = new HashMap<>(); |
| 18 | + } |
| 19 | + |
| 20 | + Result(Map<List<String>, Integer> map) { |
| 21 | + this.map = map; |
| 22 | + } |
| 23 | + |
| 24 | + void update(List<String> key, int val) { |
| 25 | + map.put(key, map.getOrDefault(key, 0) + val); |
| 26 | + } |
| 27 | + |
| 28 | + Map<List<String>, Integer> getMap() { |
| 29 | + return map; |
37 | 30 | } |
38 | | - for (int i = 0; i < evalvars.length; ++i) { |
39 | | - variables.put(evalvars[i], evalints[i]); |
40 | | - } |
41 | | - List<Term> terms = dewIt(0, n - 1); |
42 | | - Map<String, Integer> map = |
43 | | - new TreeMap<>( |
44 | | - new Comparator<>() { |
45 | | - public int compare(String a, String b) { |
46 | | - int ca = countStars(a); |
47 | | - int cb = countStars(b); |
48 | | - if (ca != cb) { |
49 | | - return cb - ca; |
50 | | - } else { |
51 | | - return a.compareTo(b); |
52 | | - } |
53 | | - } |
54 | | - |
55 | | - private int countStars(String s) { |
56 | | - int ans = 0; |
57 | | - for (char c : s.toCharArray()) { |
58 | | - if (c == '*') { |
59 | | - ++ans; |
60 | | - } |
61 | | - } |
62 | | - return ans; |
63 | | - } |
64 | | - }); |
65 | | - for (Term term : terms) { |
66 | | - if (term.coeff != 0) { |
67 | | - String key = term.getKey(); |
68 | | - if (map.containsKey(key)) { |
69 | | - int oldCoeff = map.get(key); |
70 | | - if (oldCoeff == -term.coeff) { |
71 | | - map.remove(key); |
72 | | - } else { |
73 | | - map.put(key, oldCoeff + term.coeff); |
74 | | - } |
75 | | - } else { |
76 | | - map.put(key, term.coeff); |
| 31 | + |
| 32 | + List<String> toList() { |
| 33 | + List<List<String>> keyList = new ArrayList<>(map.keySet()); |
| 34 | + Map<List<String>, String> list2String = new HashMap<>(); |
| 35 | + for (List<String> key : keyList) { |
| 36 | + StringBuilder sb = new StringBuilder(); |
| 37 | + for (String k : key) { |
| 38 | + sb.append(k).append("*"); |
| 39 | + } |
| 40 | + list2String.put(key, sb.toString()); |
| 41 | + } |
| 42 | + keyList.sort( |
| 43 | + (a, b) -> |
| 44 | + (a.size() == b.size() |
| 45 | + ? list2String.get(a).compareTo(list2String.get(b)) |
| 46 | + : b.size() - a.size())); |
| 47 | + List<String> res = new ArrayList<>(); |
| 48 | + for (List<String> key : keyList) { |
| 49 | + if (map.get(key) == 0) { |
| 50 | + continue; |
| 51 | + } |
| 52 | + StringBuilder sb = new StringBuilder(); |
| 53 | + sb.append(map.get(key)); |
| 54 | + for (String k : key) { |
| 55 | + sb.append("*").append(k); |
77 | 56 | } |
| 57 | + res.add(sb.toString()); |
78 | 58 | } |
| 59 | + return res; |
79 | 60 | } |
80 | | - List<String> ans = new ArrayList<>(); |
81 | | - for (Map.Entry<String, Integer> entry : map.entrySet()) { |
82 | | - ans.add(entry.getValue() + entry.getKey()); |
| 61 | + } |
| 62 | + |
| 63 | + private Map<String, Integer> evalMap; |
| 64 | + private int i = 0; |
| 65 | + |
| 66 | + public List<String> basicCalculatorIV(String expression, String[] evalvars, int[] evalints) { |
| 67 | + evalMap = new HashMap<>(); |
| 68 | + for (int j = 0; j < evalvars.length; j++) { |
| 69 | + evalMap.put(evalvars[j], evalints[j]); |
83 | 70 | } |
84 | | - return ans; |
| 71 | + i = -1; |
| 72 | + next(expression); |
| 73 | + Result res = expression(expression); |
| 74 | + return res.toList(); |
85 | 75 | } |
86 | 76 |
|
87 | | - private List<Term> dewIt(int a, int b) { |
88 | | - if (braces[a] == b) { |
89 | | - return dewIt(a + 1, b - 1); |
90 | | - } |
91 | | - List<Term> ans = new ArrayList<>(); |
92 | | - List<Term> buffer = new ArrayList<>(); |
93 | | - buffer.add(new Term(1, new ArrayList<>())); |
94 | | - int i = a; |
95 | | - while (i <= b) { |
96 | | - int j = i; |
97 | | - List<Term> curr; |
98 | | - if (arr[i] == '(') { |
99 | | - j = braces[i] + 1; |
100 | | - curr = dewIt(i + 1, j - 2); |
| 77 | + private Result expression(String s) { |
| 78 | + Result res = term(s); |
| 79 | + while (i < s.length() && (s.charAt(i) == '+' || s.charAt(i) == '-')) { |
| 80 | + int c = s.charAt(i); |
| 81 | + next(s); |
| 82 | + if (c == '+') { |
| 83 | + res = add(res, term(s)); |
101 | 84 | } else { |
102 | | - while (j <= b && arr[j] != ' ') { |
103 | | - ++j; |
104 | | - } |
105 | | - String exp = s.substring(i, j); |
106 | | - int val = 1; |
107 | | - List<String> vars = new ArrayList<>(); |
108 | | - if (variables.containsKey(exp)) { |
109 | | - val = variables.get(exp); |
110 | | - } else if (exp.charAt(0) <= '9') { |
111 | | - val = Integer.parseInt(exp); |
112 | | - } else { |
113 | | - vars.add(exp); |
114 | | - } |
115 | | - curr = new ArrayList<>(); |
116 | | - curr.add(new Term(val, vars)); |
| 85 | + res = subtract(res, term(s)); |
117 | 86 | } |
118 | | - buffer = multiply(buffer, curr); |
119 | | - if (j > b || arr[j + 1] == '+' || arr[j + 1] == '-') { |
120 | | - ans.addAll(buffer); |
121 | | - buffer = new ArrayList<>(); |
122 | | - } |
123 | | - if (j < b) { |
124 | | - ++j; |
125 | | - if (arr[j] == '+') { |
126 | | - buffer.add(new Term(1, new ArrayList<>())); |
127 | | - } else if (arr[j] == '-') { |
128 | | - buffer.add(new Term(-1, new ArrayList<>())); |
129 | | - } |
130 | | - j += 2; |
131 | | - } |
132 | | - i = j; |
133 | 87 | } |
134 | | - return ans; |
| 88 | + return res; |
135 | 89 | } |
136 | 90 |
|
137 | | - private List<Term> multiply(List<Term> a, List<Term> b) { |
138 | | - List<Term> ans = new ArrayList<>(); |
139 | | - for (Term x : a) { |
140 | | - for (Term y : b) { |
141 | | - Term prod = x.copy(); |
142 | | - prod.multiply(y); |
143 | | - ans.add(prod); |
| 91 | + private Result term(String s) { |
| 92 | + Result res = factor(s); |
| 93 | + while (i < s.length() && s.charAt(i) == '*') { |
| 94 | + next(s); |
| 95 | + res = multiply(res, factor(s)); |
| 96 | + } |
| 97 | + return res; |
| 98 | + } |
| 99 | + |
| 100 | + private Result multiply(Result r1, Result r2) { |
| 101 | + Map<List<String>, Integer> map1 = r1.getMap(); |
| 102 | + Map<List<String>, Integer> map2 = r2.getMap(); |
| 103 | + Map<List<String>, Integer> map = new HashMap<>(); |
| 104 | + for (Map.Entry<List<String>, Integer> entry1 : map1.entrySet()) { |
| 105 | + for (Map.Entry<List<String>, Integer> entry2 : map2.entrySet()) { |
| 106 | + List<String> key = new ArrayList<>(entry1.getKey()); |
| 107 | + key.addAll(entry2.getKey()); |
| 108 | + Collections.sort(key); |
| 109 | + map.put(key, map.getOrDefault(key, 0) + entry1.getValue() * entry2.getValue()); |
144 | 110 | } |
145 | 111 | } |
146 | | - return ans; |
| 112 | + return new Result(map); |
147 | 113 | } |
148 | 114 |
|
149 | | - private static class Term { |
150 | | - int coeff; |
151 | | - List<String> vars; |
| 115 | + private Result add(Result r1, Result r2) { |
| 116 | + Map<List<String>, Integer> map1 = r1.getMap(); |
| 117 | + Map<List<String>, Integer> map2 = r2.getMap(); |
| 118 | + Map<List<String>, Integer> map = new HashMap<>(); |
| 119 | + for (Map.Entry<List<String>, Integer> entry1 : map1.entrySet()) { |
| 120 | + map.put(entry1.getKey(), map.getOrDefault(entry1.getKey(), 0) + entry1.getValue()); |
| 121 | + } |
| 122 | + for (Map.Entry<List<String>, Integer> entry2 : map2.entrySet()) { |
| 123 | + map.put(entry2.getKey(), map.getOrDefault(entry2.getKey(), 0) + entry2.getValue()); |
| 124 | + } |
| 125 | + return new Result(map); |
| 126 | + } |
152 | 127 |
|
153 | | - public Term(int a, List<String> c) { |
154 | | - this.coeff = a; |
155 | | - vars = new ArrayList<>(); |
156 | | - vars.addAll(c); |
| 128 | + private Result subtract(Result r1, Result r2) { |
| 129 | + Map<List<String>, Integer> map1 = r1.getMap(); |
| 130 | + Map<List<String>, Integer> map2 = r2.getMap(); |
| 131 | + Map<List<String>, Integer> map = new HashMap<>(); |
| 132 | + for (Map.Entry<List<String>, Integer> entry1 : map1.entrySet()) { |
| 133 | + map.put(entry1.getKey(), map.getOrDefault(entry1.getKey(), 0) + entry1.getValue()); |
| 134 | + } |
| 135 | + for (Map.Entry<List<String>, Integer> entry2 : map2.entrySet()) { |
| 136 | + map.put(entry2.getKey(), map.getOrDefault(entry2.getKey(), 0) - entry2.getValue()); |
157 | 137 | } |
| 138 | + return new Result(map); |
| 139 | + } |
158 | 140 |
|
159 | | - public String getKey() { |
160 | | - StringBuilder b = new StringBuilder(); |
161 | | - Collections.sort(vars); |
162 | | - for (String x : vars) { |
163 | | - b.append('*'); |
164 | | - b.append(x); |
165 | | - } |
166 | | - return b.toString(); |
| 141 | + private Result factor(String s) { |
| 142 | + Result res = new Result(); |
| 143 | + if (s.charAt(i) == '(') { |
| 144 | + next(s); |
| 145 | + res = expression(s); |
| 146 | + next(s); |
| 147 | + return res; |
167 | 148 | } |
| 149 | + if (Character.isLowerCase(s.charAt(i))) { |
| 150 | + return identifier(s); |
| 151 | + } |
| 152 | + res.update(new ArrayList<>(), number(s)); |
| 153 | + return res; |
| 154 | + } |
168 | 155 |
|
169 | | - public void multiply(Term that) { |
170 | | - this.coeff *= that.coeff; |
171 | | - if (this.coeff == 0) { |
172 | | - vars.clear(); |
173 | | - } else { |
174 | | - this.vars.addAll(that.vars); |
175 | | - } |
| 156 | + private Result identifier(String s) { |
| 157 | + Result res = new Result(); |
| 158 | + StringBuilder sb = new StringBuilder(); |
| 159 | + while (i < s.length() && Character.isLowerCase(s.charAt(i))) { |
| 160 | + sb.append(s.charAt(i)); |
| 161 | + i++; |
| 162 | + } |
| 163 | + i--; |
| 164 | + next(s); |
| 165 | + String variable = sb.toString(); |
| 166 | + if (evalMap.containsKey(variable)) { |
| 167 | + res.update(new ArrayList<>(), evalMap.get(variable)); |
| 168 | + } else { |
| 169 | + List<String> key = new ArrayList<>(); |
| 170 | + key.add(variable); |
| 171 | + res.update(key, 1); |
176 | 172 | } |
| 173 | + return res; |
| 174 | + } |
| 175 | + |
| 176 | + private int number(String s) { |
| 177 | + int res = 0; |
| 178 | + while (i < s.length() && s.charAt(i) >= '0' && s.charAt(i) <= '9') { |
| 179 | + res = res * 10 + (s.charAt(i) - '0'); |
| 180 | + i++; |
| 181 | + } |
| 182 | + i--; |
| 183 | + next(s); |
| 184 | + return res; |
| 185 | + } |
177 | 186 |
|
178 | | - public Term copy() { |
179 | | - return new Term(coeff, vars); |
| 187 | + private void next(String s) { |
| 188 | + i++; |
| 189 | + while (i < s.length() && s.charAt(i) == ' ') { |
| 190 | + i++; |
180 | 191 | } |
181 | 192 | } |
182 | 193 | } |
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