Java整数分割アルゴリズム

需要背景
プロジェクトでは、各階調のパーセントをユーザーに指定させるタスク階調の機能が必要です.これは実は整数が比例によって分割される問題です.
コード#コード#

  //       
  private static List integerAllocationAlgorithm (Integer sum, List percent) {
    int rest = sum;
    List stepValue = new ArrayList<>();
    for (int i = 0; i < percent.size(); i++) {
      int value = 0;
      if (rest > 0) {
        value = (int)Math.floor(sum * percent.get(i) / 100);
        if (value == 0) {
          value = 1;
        }
        if ((rest - value) <= 0) {
          value = rest;
          rest = 0;
        } else {
          rest = rest - value;
        }
        if (i == (percent.size() - 1) && rest > 0) {
          value = value + rest;
        }
      }
      stepValue.add(value);
    }
    return stepValue;
  }

  public static void main(String[] args) {
    List percent = new ArrayList<>();
    percent.add(10);
    percent.add(25);
    percent.add(25);
    percent.add(30);
    percent.add(9);
    percent.add(1);
    List result = null;
    for (int i = 1; i< 200; i++) {
      result = integerAllocationAlgorithm(i, percent);
      System.out.println(i+ ":" + result + "，" + result.stream().reduce(Integer::sum).orElse(0));
    }
  }

結果:

1:[1, 0, 0, 0, 0, 0]，1
2:[1, 1, 0, 0, 0, 0]，2
3:[1, 1, 1, 0, 0, 0]，3
4:[1, 1, 1, 1, 0, 0]，4
5:[1, 1, 1, 1, 1, 0]，5
6:[1, 1, 1, 1, 1, 1]，6
7:[1, 1, 1, 2, 1, 1]，7
8:[1, 2, 2, 2, 1, 0]，8
9:[1, 2, 2, 2, 1, 1]，9
10:[1, 2, 2, 3, 1, 1]，10
11:[1, 2, 2, 3, 1, 2]，11
12:[1, 3, 3, 3, 1, 1]，12
13:[1, 3, 3, 3, 1, 2]，13
14:[1, 3, 3, 4, 1, 2]，14
15:[1, 3, 3, 4, 1, 3]，15
16:[1, 4, 4, 4, 1, 2]，16
17:[1, 4, 4, 5, 1, 2]，17
18:[1, 4, 4, 5, 1, 3]，18
19:[1, 4, 4, 5, 1, 4]，19
20:[2, 5, 5, 6, 1, 1]，20
21:[2, 5, 5, 6, 1, 2]，21
22:[2, 5, 5, 6, 1, 3]，22
23:[2, 5, 5, 6, 2, 3]，23
24:[2, 6, 6, 7, 2, 1]，24
25:[2, 6, 6, 7, 2, 2]，25
26:[2, 6, 6, 7, 2, 3]，26
27:[2, 6, 6, 8, 2, 3]，27
28:[2, 7, 7, 8, 2, 2]，28
29:[2, 7, 7, 8, 2, 3]，29
30:[3, 7, 7, 9, 2, 2]，30
31:[3, 7, 7, 9, 2, 3]，31
32:[3, 8, 8, 9, 2, 2]，32
33:[3, 8, 8, 9, 2, 3]，33
34:[3, 8, 8, 10, 3, 2]，34
35:[3, 8, 8, 10, 3, 3]，35
36:[3, 9, 9, 10, 3, 2]，36
37:[3, 9, 9, 11, 3, 2]，37
38:[3, 9, 9, 11, 3, 3]，38
39:[3, 9, 9, 11, 3, 4]，39
40:[4, 10, 10, 12, 3, 1]，40
41:[4, 10, 10, 12, 3, 2]，41
42:[4, 10, 10, 12, 3, 3]，42
43:[4, 10, 10, 12, 3, 4]，43
44:[4, 11, 11, 13, 3, 2]，44
45:[4, 11, 11, 13, 4, 2]，45
46:[4, 11, 11, 13, 4, 3]，46
47:[4, 11, 11, 14, 4, 3]，47
48:[4, 12, 12, 14, 4, 2]，48
49:[4, 12, 12, 14, 4, 3]，49
50:[5, 12, 12, 15, 4, 2]，50
51:[5, 12, 12, 15, 4, 3]，51
52:[5, 13, 13, 15, 4, 2]，52
53:[5, 13, 13, 15, 4, 3]，53
54:[5, 13, 13, 16, 4, 3]，54
55:[5, 13, 13, 16, 4, 4]，55
56:[5, 14, 14, 16, 5, 2]，56
57:[5, 14, 14, 17, 5, 2]，57
58:[5, 14, 14, 17, 5, 3]，58
59:[5, 14, 14, 17, 5, 4]，59
60:[6, 15, 15, 18, 5, 1]，60
61:[6, 15, 15, 18, 5, 2]，61
62:[6, 15, 15, 18, 5, 3]，62
63:[6, 15, 15, 18, 5, 4]，63
64:[6, 16, 16, 19, 5, 2]，64
65:[6, 16, 16, 19, 5, 3]，65
66:[6, 16, 16, 19, 5, 4]，66
67:[6, 16, 16, 20, 6, 3]，67
68:[6, 17, 17, 20, 6, 2]，68
69:[6, 17, 17, 20, 6, 3]，69
70:[7, 17, 17, 21, 6, 2]，70
71:[7, 17, 17, 21, 6, 3]，71
72:[7, 18, 18, 21, 6, 2]，72
73:[7, 18, 18, 21, 6, 3]，73
74:[7, 18, 18, 22, 6, 3]，74
75:[7, 18, 18, 22, 6, 4]，75
76:[7, 19, 19, 22, 6, 3]，76
77:[7, 19, 19, 23, 6, 3]，77
78:[7, 19, 19, 23, 7, 3]，78
79:[7, 19, 19, 23, 7, 4]，79
80:[8, 20, 20, 24, 7, 1]，80
81:[8, 20, 20, 24, 7, 2]，81
82:[8, 20, 20, 24, 7, 3]，82
83:[8, 20, 20, 24, 7, 4]，83
84:[8, 21, 21, 25, 7, 2]，84
85:[8, 21, 21, 25, 7, 3]，85
86:[8, 21, 21, 25, 7, 4]，86
87:[8, 21, 21, 26, 7, 4]，87
88:[8, 22, 22, 26, 7, 3]，88
89:[8, 22, 22, 26, 8, 3]，89
90:[9, 22, 22, 27, 8, 2]，90
91:[9, 22, 22, 27, 8, 3]，91
92:[9, 23, 23, 27, 8, 2]，92
93:[9, 23, 23, 27, 8, 3]，93
94:[9, 23, 23, 28, 8, 3]，94
95:[9, 23, 23, 28, 8, 4]，95
96:[9, 24, 24, 28, 8, 3]，96
97:[9, 24, 24, 29, 8, 3]，97
98:[9, 24, 24, 29, 8, 4]，98
99:[9, 24, 24, 29, 8, 5]，99
100:[10, 25, 25, 30, 9, 1]，100
101:[10, 25, 25, 30, 9, 2]，101
102:[10, 25, 25, 30, 9, 3]，102
103:[10, 25, 25, 30, 9, 4]，103
104:[10, 26, 26, 31, 9, 2]，104
105:[10, 26, 26, 31, 9, 3]，105
106:[10, 26, 26, 31, 9, 4]，106
107:[10, 26, 26, 32, 9, 4]，107
108:[10, 27, 27, 32, 9, 3]，108
109:[10, 27, 27, 32, 9, 4]，109
110:[11, 27, 27, 33, 9, 3]，110
111:[11, 27, 27, 33, 9, 4]，111
112:[11, 28, 28, 33, 10, 2]，112
113:[11, 28, 28, 33, 10, 3]，113
114:[11, 28, 28, 34, 10, 3]，114
115:[11, 28, 28, 34, 10, 4]，115
116:[11, 29, 29, 34, 10, 3]，116
117:[11, 29, 29, 35, 10, 3]，117
118:[11, 29, 29, 35, 10, 4]，118
119:[11, 29, 29, 35, 10, 5]，119
120:[12, 30, 30, 36, 10, 2]，120
121:[12, 30, 30, 36, 10, 3]，121
122:[12, 30, 30, 36, 10, 4]，122
123:[12, 30, 30, 36, 11, 4]，123
124:[12, 31, 31, 37, 11, 2]，124
125:[12, 31, 31, 37, 11, 3]，125
126:[12, 31, 31, 37, 11, 4]，126
127:[12, 31, 31, 38, 11, 4]，127
128:[12, 32, 32, 38, 11, 3]，128
129:[12, 32, 32, 38, 11, 4]，129
130:[13, 32, 32, 39, 11, 3]，130
131:[13, 32, 32, 39, 11, 4]，131
132:[13, 33, 33, 39, 11, 3]，132
133:[13, 33, 33, 39, 11, 4]，133
134:[13, 33, 33, 40, 12, 3]，134
135:[13, 33, 33, 40, 12, 4]，135
136:[13, 34, 34, 40, 12, 3]，136
137:[13, 34, 34, 41, 12, 3]，137
138:[13, 34, 34, 41, 12, 4]，138
139:[13, 34, 34, 41, 12, 5]，139
140:[14, 35, 35, 42, 12, 2]，140
141:[14, 35, 35, 42, 12, 3]，141
142:[14, 35, 35, 42, 12, 4]，142
143:[14, 35, 35, 42, 12, 5]，143
144:[14, 36, 36, 43, 12, 3]，144
145:[14, 36, 36, 43, 13, 3]，145
146:[14, 36, 36, 43, 13, 4]，146
147:[14, 36, 36, 44, 13, 4]，147
148:[14, 37, 37, 44, 13, 3]，148
149:[14, 37, 37, 44, 13, 4]，149
150:[15, 37, 37, 45, 13, 3]，150
151:[15, 37, 37, 45, 13, 4]，151
152:[15, 38, 38, 45, 13, 3]，152
153:[15, 38, 38, 45, 13, 4]，153
154:[15, 38, 38, 46, 13, 4]，154
155:[15, 38, 38, 46, 13, 5]，155
156:[15, 39, 39, 46, 14, 3]，156
157:[15, 39, 39, 47, 14, 3]，157
158:[15, 39, 39, 47, 14, 4]，158
159:[15, 39, 39, 47, 14, 5]，159
160:[16, 40, 40, 48, 14, 2]，160
161:[16, 40, 40, 48, 14, 3]，161
162:[16, 40, 40, 48, 14, 4]，162
163:[16, 40, 40, 48, 14, 5]，163
164:[16, 41, 41, 49, 14, 3]，164
165:[16, 41, 41, 49, 14, 4]，165
166:[16, 41, 41, 49, 14, 5]，166
167:[16, 41, 41, 50, 15, 4]，167
168:[16, 42, 42, 50, 15, 3]，168
169:[16, 42, 42, 50, 15, 4]，169
170:[17, 42, 42, 51, 15, 3]，170
171:[17, 42, 42, 51, 15, 4]，171
172:[17, 43, 43, 51, 15, 3]，172
173:[17, 43, 43, 51, 15, 4]，173
174:[17, 43, 43, 52, 15, 4]，174
175:[17, 43, 43, 52, 15, 5]，175
176:[17, 44, 44, 52, 15, 4]，176
177:[17, 44, 44, 53, 15, 4]，177
178:[17, 44, 44, 53, 16, 4]，178
179:[17, 44, 44, 53, 16, 5]，179
180:[18, 45, 45, 54, 16, 2]，180
181:[18, 45, 45, 54, 16, 3]，181
182:[18, 45, 45, 54, 16, 4]，182
183:[18, 45, 45, 54, 16, 5]，183
184:[18, 46, 46, 55, 16, 3]，184
185:[18, 46, 46, 55, 16, 4]，185
186:[18, 46, 46, 55, 16, 5]，186
187:[18, 46, 46, 56, 16, 5]，187
188:[18, 47, 47, 56, 16, 4]，188
189:[18, 47, 47, 56, 17, 4]，189
190:[19, 47, 47, 57, 17, 3]，190
191:[19, 47, 47, 57, 17, 4]，191
192:[19, 48, 48, 57, 17, 3]，192
193:[19, 48, 48, 57, 17, 4]，193
194:[19, 48, 48, 58, 17, 4]，194
195:[19, 48, 48, 58, 17, 5]，195
196:[19, 49, 49, 58, 17, 4]，196
197:[19, 49, 49, 59, 17, 4]，197
198:[19, 49, 49, 59, 17, 5]，198
199:[19, 49, 49, 59, 17, 6]，199