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c++ - 欧拉计划#11,变量溢出

转载 作者:塔克拉玛干 更新时间:2023-11-03 08:16:18 25 4
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在尝试求解项目 euler #11 时,我输出的两个最大产品的结果一直是负数。有点不知所措,我想通过使用 long long 数据类型我会很安全,但我不知道发生了什么。我不知道还能尝试什么,我可能正在做一些非常愚蠢的事情,但我已经在沙滩上旋转了几个小时,我认为是时候伸出援手了

#include <iostream>
#include <fstream>
#include <iomanip>
using namespace std;

long long hZ (int matrix[20][20], int i, int j);

int main()
{
fstream inFile;
int matrix [20][20];
long long max = 0;
inFile.open("numbers.txt");
if(!inFile)
cout << "numbers.txt failed to open!" << endl;

for(int i = 0; i < 20; i++)
for(int j = 0; j < 20; j++)
inFile >> matrix[i][j];

for(int i = 0; i < 20; i++)
{
for(int j = 0; j < 16; j++)
{
long long temp = hZ(matrix, i, j);
if (temp > max)
max = temp;
cout << matrix[i][j] << " " << matrix[i][j+1] << " " << matrix[i][j+2] << " " << matrix[i][j+3] << " " << matrix[i][j+4];
//cout.setf(ios::fixed);
cout << " product: " << temp << " max: " << max << endl;
}
cout << endl;
}
cout << "The max is: " << max;
return 0;
}

long long hZ (int matrix[20][20], int i , int j)
{
long long hZ_product = 0;
hZ_product = (matrix[i][j] * matrix[i][j+1] * matrix[i][j+2] * matrix[i][j+3] * matrix[i][j+4]);

return hZ_product;
}

输出:(如果您在输出上向下滚动到接近末尾,您将看到我对导致问题的行发表评论的地方):

8 2 22 97 38 product: 1297472 max: 1297472
2 22 97 38 15 product: 2432760 max: 2432760
22 97 38 15 0 product: 0 max: 2432760
97 38 15 0 40 product: 0 max: 2432760
38 15 0 40 0 product: 0 max: 2432760
15 0 40 0 75 product: 0 max: 2432760
0 40 0 75 4 product: 0 max: 2432760
40 0 75 4 5 product: 0 max: 2432760
0 75 4 5 7 product: 0 max: 2432760
75 4 5 7 78 product: 819000 max: 2432760
4 5 7 78 52 product: 567840 max: 2432760
5 7 78 52 12 product: 1703520 max: 2432760
7 78 52 12 50 product: 17035200 max: 17035200
78 52 12 50 77 product: 187387200 max: 187387200
52 12 50 77 91 product: 218618400 max: 218618400
12 50 77 91 8 product: 33633600 max: 218618400

49 49 99 40 17 product: 161635320 max: 218618400
49 99 40 17 81 product: 267193080 max: 267193080
99 40 17 81 18 product: 98152560 max: 267193080
40 17 81 18 57 product: 56512080 max: 267193080
17 81 18 57 60 product: 84768120 max: 267193080
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18 57 60 87 17 product: 91047240 max: 433813320
57 60 87 17 40 product: 202327200 max: 433813320
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87 17 40 98 43 product: 249300240 max: 433813320
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48 4 56 62 0 product: 0 max: 558270720

81 49 31 73 55 product: 494001585 max: 558270720
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79 14 29 93 71 product: 211784622 max: 558270720
14 29 93 71 40 product: 107232720 max: 558270720
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67 53 88 30 3 product: 28123920 max: 937890120
53 88 30 3 49 product: 20568240 max: 937890120
88 30 3 49 13 product: 5045040 max: 937890120
30 3 49 13 36 product: 2063880 max: 937890120
3 49 13 36 65 product: 4471740 max: 937890120

52 70 95 23 4 product: 31813600 max: 937890120
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32 56 71 37 2 product: 9415168 max: 937890120
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71 37 2 36 91 product: 17212104 max: 937890120

22 31 16 71 51 product: 39512352 max: 937890120
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67 63 89 41 92 product: 1417023468 max: 1417023468
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24 47 32 60 99 product: 214410240 max: 1417023468
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36 84 20 35 17 product: 35985600 max: 1417023468
84 20 35 17 12 product: 11995200 max: 1417023468
20 35 17 12 50 product: 7140000 max: 1417023468

32 98 81 28 64 product: 455196672 max: 1417023468
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67 59 54 70 66 product: 986194440 max: 1417023468
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54 70 66 18 38 product: 170644320 max: 1417023468
70 66 18 38 64 product: 202245120 max: 1417023468
66 18 38 64 70 product: 202245120 max: 1417023468

67 26 20 68 2 product: 4738240 max: 1417023468
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24 55 58 5 66 product: 25264800 max: 1417023468
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14 88 34 89 63 product: 234866016 max: 1417023468
88 34 89 63 72 product: 1207882368 max: 1417023468

21 36 23 9 75 product: 11736900 max: 1417023468
36 23 9 75 0 product: 0 max: 1417023468
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44 20 45 35 14 product: 19404000 max: 1417023468
20 45 35 14 0 product: 0 max: 1417023468
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61 33 97 34 31 product: 205805094 max: 1417023468
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97 34 31 33 95 product: 320516130 max: 1417023468

78 17 53 28 22 product: 43291248 max: 1417023468
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53 28 22 75 31 product: 75906600 max: 1417023468
28 22 75 31 67 product: 95957400 max: 1417023468
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75 31 67 15 94 product: 219642750 max: 1417023468
31 67 15 94 3 product: 8785710 max: 1417023468
67 15 94 3 80 product: 22672800 max: 1417023468
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86 56 0 48 35 product: 0 max: 1417023468
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4 52 8 83 97 product: 13396864 max: 1417023468
52 8 83 97 35 product: 117222560 max: 1417023468
8 83 97 35 99 product: 223173720 max: 1417023468
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88 36 68 87 57 product: 1068287616 max: 1417023468
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88 34 62 99 69 product: 1267177824 max: 1417023468
34 62 99 69 82 product: 1180779336 max: 1417023468
62 99 69 82 67 product: -1968137428 max: 1417023468 //ISSUE HERE
99 69 82 67 59 product: -2080725970 max: 1417023468 //ISSUE HERE
69 82 67 59 85 product: 1901116290 max: 1901116290
82 67 59 85 74 product: 2038878340 max: 2038878340
67 59 85 74 4 product: 99457480 max: 2038878340
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20 73 35 29 78 product: 115588200 max: 2038878340
73 35 29 78 31 product: 179161710 max: 2038878340
35 29 78 31 90 product: 220884300 max: 2038878340
29 78 31 90 1 product: 6310980 max: 2038878340
78 31 90 1 74 product: 16103880 max: 2038878340
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90 1 74 31 49 product: 10116540 max: 2038878340
1 74 31 49 71 product: 7980826 max: 2038878340
74 31 49 71 48 product: 383079648 max: 2038878340
31 49 71 48 86 product: 445200672 max: 2038878340
49 71 48 86 81 product: 1163266272 max: 2038878340
71 48 86 81 16 product: 379842048 max: 2038878340
48 86 81 16 23 product: 123047424 max: 2038878340
86 81 16 23 57 product: 146118816 max: 2038878340
81 16 23 57 5 product: 8495280 max: 2038878340
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1 70 54 71 83 product: 22275540 max: 2038878340
70 54 71 83 51 product: 1136052540 max: 2038878340
54 71 83 51 54 product: 876383388 max: 2038878340
71 83 51 54 69 product: 1119823218 max: 2038878340
83 51 54 69 16 product: 252354528 max: 2038878340
51 54 69 16 92 product: 279718272 max: 2038878340
54 69 16 92 33 product: 180994176 max: 2038878340
69 16 92 33 48 product: 160883712 max: 2038878340
16 92 33 48 61 product: 142230528 max: 2038878340
92 33 48 61 43 product: 382244544 max: 2038878340
33 48 61 43 52 product: 216051264 max: 2038878340
48 61 43 52 1 product: 6547008 max: 2038878340
61 43 52 1 89 product: 12139244 max: 2038878340
43 52 1 89 19 product: 3781076 max: 2038878340
52 1 89 19 67 product: 5891444 max: 2038878340
1 89 19 67 48 product: 5438256 max: 2038878340

The max is: 2038878340

最佳答案

问题是您的乘积计算是以 int 精度完成的,然后存储到 long long 中。您需要以 long long 精度进行计算。

long long hZ_product = 1;
hZ_product *= matrix[i][j];
hZ_product *= matrix[i][j+1];
hZ_product *= matrix[i][j+2];
hZ_product *= matrix[i][j+3];
hZ_product *= matrix[i][j+4];

关于c++ - 欧拉计划#11,变量溢出,我们在Stack Overflow上找到一个类似的问题: https://stackoverflow.com/questions/12046240/

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