From fc688b7798316b2188d715f65ce52c73daaf257f Mon Sep 17 00:00:00 2001
From: Vitor Hideyoshi <vitor.h.n.batista@gmail.com>
Date: Mon, 26 Oct 2020 08:26:01 -0300
Subject: [PATCH] v1.3.3

---
 Source Code - Seals/__init__.py               |  18 ++
 .../__pycache__/__init__.cpython-37.pyc       | Bin 0 -> 184 bytes
 Source Code - Seals/eigen/__init__.py         |  20 ++
 .../eigen/__pycache__/__init__.cpython-37.pyc | Bin 0 -> 218 bytes
 .../eigen/__pycache__/eigen.cpython-37.pyc    | Bin 0 -> 650 bytes
 Source Code - Seals/eigen/eigen.py            |  64 ++++++
 Source Code - Seals/insert/__init__.py        |  21 ++
 .../__pycache__/__init__.cpython-37.pyc       | Bin 0 -> 257 bytes
 .../insert/__pycache__/insert.cpython-37.pyc  | Bin 0 -> 688 bytes
 Source Code - Seals/insert/insert.py          |  46 ++++
 Source Code - Seals/process/__init__.py       |  25 +++
 .../__pycache__/__init__.cpython-37.pyc       | Bin 0 -> 386 bytes
 .../__pycache__/process.cpython-37.pyc        | Bin 0 -> 2597 bytes
 Source Code - Seals/process/process.py        | 203 ++++++++++++++++++
 Source Code - Seals/scan/__init__.py          |  21 ++
 .../scan/__pycache__/__init__.cpython-37.pyc  | Bin 0 -> 260 bytes
 .../scan/__pycache__/scan.cpython-37.pyc      | Bin 0 -> 641 bytes
 Source Code - Seals/scan/scan.py              |  45 ++++
 Source Code - Seals/write/__init__.py         |  21 ++
 .../write/__pycache__/__init__.cpython-37.pyc | Bin 0 -> 262 bytes
 .../write/__pycache__/write.cpython-37.pyc    | Bin 0 -> 596 bytes
 Source Code - Seals/write/write.py            |  33 +++
 22 files changed, 517 insertions(+)
 create mode 100644 Source Code - Seals/__init__.py
 create mode 100644 Source Code - Seals/__pycache__/__init__.cpython-37.pyc
 create mode 100644 Source Code - Seals/eigen/__init__.py
 create mode 100644 Source Code - Seals/eigen/__pycache__/__init__.cpython-37.pyc
 create mode 100644 Source Code - Seals/eigen/__pycache__/eigen.cpython-37.pyc
 create mode 100644 Source Code - Seals/eigen/eigen.py
 create mode 100644 Source Code - Seals/insert/__init__.py
 create mode 100644 Source Code - Seals/insert/__pycache__/__init__.cpython-37.pyc
 create mode 100644 Source Code - Seals/insert/__pycache__/insert.cpython-37.pyc
 create mode 100644 Source Code - Seals/insert/insert.py
 create mode 100644 Source Code - Seals/process/__init__.py
 create mode 100644 Source Code - Seals/process/__pycache__/__init__.cpython-37.pyc
 create mode 100644 Source Code - Seals/process/__pycache__/process.cpython-37.pyc
 create mode 100644 Source Code - Seals/process/process.py
 create mode 100644 Source Code - Seals/scan/__init__.py
 create mode 100644 Source Code - Seals/scan/__pycache__/__init__.cpython-37.pyc
 create mode 100644 Source Code - Seals/scan/__pycache__/scan.cpython-37.pyc
 create mode 100644 Source Code - Seals/scan/scan.py
 create mode 100644 Source Code - Seals/write/__init__.py
 create mode 100644 Source Code - Seals/write/__pycache__/__init__.cpython-37.pyc
 create mode 100644 Source Code - Seals/write/__pycache__/write.cpython-37.pyc
 create mode 100644 Source Code - Seals/write/write.py

diff --git a/Source Code - Seals/__init__.py b/Source Code - Seals/__init__.py
new file mode 100644
index 0000000..e5d934d
--- /dev/null
+++ b/Source Code - Seals/__init__.py	
@@ -0,0 +1,18 @@
+# Seals - Program made for educational intent, can be freely distributed
+# and can be used for economical intent. I will not take legal actions
+# unless my intelectual propperty, the code, is stolen or change without permission.  
+
+# Copyright (C) 2020  VItor Hideyoshi Nakazone Batista
+
+# This program is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License version 2 as published by
+# the Free Software Foundation.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU General Public License for more details.
+
+# You should have received a copy of the GNU General Public License along
+# with this program; if not, write to the Free Software Foundation, Inc.,
+# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
\ No newline at end of file
diff --git a/Source Code - Seals/__pycache__/__init__.cpython-37.pyc b/Source Code - Seals/__pycache__/__init__.cpython-37.pyc
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diff --git a/Source Code - Seals/eigen/__init__.py b/Source Code - Seals/eigen/__init__.py
new file mode 100644
index 0000000..efa3006
--- /dev/null
+++ b/Source Code - Seals/eigen/__init__.py	
@@ -0,0 +1,20 @@
+# Seals - Program made for educational intent, can be freely distributed
+# and can be used for economical intent. I will not take legal actions
+# unless my intelectual propperty, the code, is stolen or change without permission.  
+
+# Copyright (C) 2020  VItor Hideyoshi Nakazone Batista
+
+# This program is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License version 2 as published by
+# the Free Software Foundation.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU General Public License for more details.
+
+# You should have received a copy of the GNU General Public License along
+# with this program; if not, write to the Free Software Foundation, Inc.,
+# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+from .eigen import eigen
\ No newline at end of file
diff --git a/Source Code - Seals/eigen/__pycache__/__init__.cpython-37.pyc b/Source Code - Seals/eigen/__pycache__/__init__.cpython-37.pyc
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diff --git a/Source Code - Seals/eigen/eigen.py b/Source Code - Seals/eigen/eigen.py
new file mode 100644
index 0000000..52c62f2
--- /dev/null
+++ b/Source Code - Seals/eigen/eigen.py	
@@ -0,0 +1,64 @@
+# Seals - Program made for educational intent, can be freely distributed
+# and can be used for economical intent. I will not take legal actions
+# unless my intelectual propperty, the code, is stolen or change without permission.  
+
+# Copyright (C) 2020  VItor Hideyoshi Nakazone Batista
+
+# This program is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License version 2 as published by
+# the Free Software Foundation.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU General Public License for more details.
+
+# You should have received a copy of the GNU General Public License along
+# with this program; if not, write to the Free Software Foundation, Inc.,
+# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+import numpy as np
+
+def eigen(a):
+
+    k = 0
+    l = np.ones((a.shape[0]))
+
+    at = a #variavel temporaria para A
+    b = np.random.rand(a.shape[0],a.shape[1])
+
+    while (k < at.shape[0]):
+
+        u = np.random.rand(at.shape[0],1)
+        u = u/max(u.min(), u.max(), key=abs)
+
+        ctrl = 0
+
+        while (ctrl != l[k]):
+            
+            ctrl = l[k]
+            u = at.dot(u)
+            l[k] = max(u.min(), u.max(), key=abs)
+            u = u/l[k]
+
+        alpha = 0.999*l[k]
+
+        t = np.random.rand(a.shape[0],1)
+
+        b[k] = b[k]/max(b[k].min(), b[k].max(), key=abs)
+        t = l/max(l.min(), l.max(), key=abs)
+
+        while not (np.allclose(b[k],t,atol=10**(-17))):
+            t = b[k].copy()
+            b[k] = np.linalg.solve((a - alpha*np.identity(a.shape[0])),((l[k]-alpha)*t))
+            b[k] = b[k]/max(b[k].min(), b[k].max(), key=abs)
+
+        i = 0
+
+        while (u[i] == 0):
+            i += 1
+
+        at = at - (1/u[i])*u*at[i]
+        k += 1
+
+    return l, b
\ No newline at end of file
diff --git a/Source Code - Seals/insert/__init__.py b/Source Code - Seals/insert/__init__.py
new file mode 100644
index 0000000..08ffc8f
--- /dev/null
+++ b/Source Code - Seals/insert/__init__.py	
@@ -0,0 +1,21 @@
+# Seals - Program made for educational intent, can be freely distributed
+# and can be used for economical intent. I will not take legal actions
+# unless my intelectual propperty, the code, is stolen or change without permission.  
+
+# Copyright (C) 2020  VItor Hideyoshi Nakazone Batista
+
+# This program is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License version 2 as published by
+# the Free Software Foundation.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU General Public License for more details.
+
+# You should have received a copy of the GNU General Public License along
+# with this program; if not, write to the Free Software Foundation, Inc.,
+# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+from .insert import matrix
+from .insert import vector
\ No newline at end of file
diff --git a/Source Code - Seals/insert/__pycache__/__init__.cpython-37.pyc b/Source Code - Seals/insert/__pycache__/__init__.cpython-37.pyc
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diff --git a/Source Code - Seals/insert/insert.py b/Source Code - Seals/insert/insert.py
new file mode 100644
index 0000000..003e274
--- /dev/null
+++ b/Source Code - Seals/insert/insert.py	
@@ -0,0 +1,46 @@
+# Seals - Program made for educational intent, can be freely distributed
+# and can be used for economical intent. I will not take legal actions
+# unless my intelectual propperty, the code, is stolen or change without permission.  
+
+# Copyright (C) 2020  VItor Hideyoshi Nakazone Batista
+
+# This program is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License version 2 as published by
+# the Free Software Foundation.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU General Public License for more details.
+
+# You should have received a copy of the GNU General Public License along
+# with this program; if not, write to the Free Software Foundation, Inc.,
+# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+def matrix(matrix):
+
+    i = 0
+    
+    while (i < matrix.shape[0]):
+        
+        j = 0
+        
+        while (j < matrix.shape[1]):
+            
+            matrix[i][j] = float(input('Insira o elemento {}x{}: '.format((i+1),(j+1))))
+            j += 1
+        
+        i += 1
+        
+    return matrix
+
+def vector(vector):
+    
+    j=0
+    
+    while (j < vector.shape[0]):
+            
+        vector[j] = float(input('Insira o elemento b{}: '.format((j+1))))
+        j += 1
+        
+    return vector
\ No newline at end of file
diff --git a/Source Code - Seals/process/__init__.py b/Source Code - Seals/process/__init__.py
new file mode 100644
index 0000000..985e6e0
--- /dev/null
+++ b/Source Code - Seals/process/__init__.py	
@@ -0,0 +1,25 @@
+# Seals - Program made for educational intent, can be freely distributed
+# and can be used for economical intent. I will not take legal actions
+# unless my intelectual propperty, the code, is stolen or change without permission.  
+
+# Copyright (C) 2020  VItor Hideyoshi Nakazone Batista
+
+# This program is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License version 2 as published by
+# the Free Software Foundation.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU General Public License for more details.
+
+# You should have received a copy of the GNU General Public License along
+# with this program; if not, write to the Free Software Foundation, Inc.,
+# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+from .process import identity
+from .process import gauss
+from .process import inverse
+from .process import cholesky
+from .process import decomposition
+from .process import cramer
\ No newline at end of file
diff --git a/Source Code - Seals/process/__pycache__/__init__.cpython-37.pyc b/Source Code - Seals/process/__pycache__/__init__.cpython-37.pyc
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zP!|xT6{H0v4?YENLI*h9-a&UTPElKhDg}|Me2N-n566u+%z?t^@h8czb@^w@4cZ^l
RR?0oU?7!=4|9$_R{{ixa_{RVM

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diff --git a/Source Code - Seals/process/process.py b/Source Code - Seals/process/process.py
new file mode 100644
index 0000000..968cd9c
--- /dev/null
+++ b/Source Code - Seals/process/process.py	
@@ -0,0 +1,203 @@
+# Seals - Program made for educational intent, can be freely distributed
+# and can be used for economical intent. I will not take legal actions
+# unless my intelectual propperty, the code, is stolen or change without permission.  
+
+# Copyright (C) 2020  VItor Hideyoshi Nakazone Batista
+
+# This program is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License version 2 as published by
+# the Free Software Foundation.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU General Public License for more details.
+
+# You should have received a copy of the GNU General Public License along
+# with this program; if not, write to the Free Software Foundation, Inc.,
+# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+import numpy as np
+import math
+
+def identity(matrix):
+    
+    i = 0
+    
+    while (i < matrix.shape[0]):
+        
+        j = 0
+        
+        while (j < matrix.shape[0]):
+            
+            if (i == j):
+                
+                matrix[i][j] = 1
+                
+            elif (i != j):
+                
+                matrix[i][j] = 0
+                        
+            j += 1
+        
+        i += 1
+        
+    return matrix
+
+def gauss(matrix):
+    
+    i = 0
+    k = 0
+    
+    while (i < matrix.shape[0]):
+        
+        if (matrix[i][i] == 0):
+            
+            n = i
+            
+            while (matrix[i][i] == 0) and (n < matrix.shape[0]):
+                
+                temp = matrix[i].copy()
+                matrix[i] = matrix[n]
+                matrix[n] = temp
+                
+                n += 1
+        
+        while (k < matrix.shape[0]):
+            
+            if (k == i) or (matrix[i][i] == 0):
+                
+                k += 1
+                
+            else:
+                
+                mult = matrix[k][i]/matrix[i][i]
+                matrix[k] = matrix[k] - mult*matrix[i]
+                k += 1
+            
+        i += 1
+        k = 0
+    
+    i = 0
+    
+    while ((i) < matrix.shape[0]) and (matrix[i][i] != 0):
+        
+        matrix[i] = matrix[i]/matrix[i][i]
+        i += 1        
+    
+    return matrix[:,(matrix.shape[0]):]
+
+def inverse(matrix):
+    
+    return gauss(np.hstack((matrix, identity(np.zeros(matrix.shape)))))
+
+def cholesky(A, b):
+    
+    g = np.zeros((A.shape))
+    
+    i = 0
+    j = 0
+    
+    while j < A.shape[1]:
+        while i < A.shape[0]:
+
+            if i == 0 and j == 0:
+
+                g[i][j] = math.sqrt(A[0][0])
+
+            elif j == 0:
+
+                g[i][j] = A[i][0]/g[0][0]
+
+            elif i == j:
+
+                k = 0
+                theta = 0
+
+                while k < i:
+
+                    theta += g[i][k]**2
+                    k += 1
+                
+                g[i][j] = math.sqrt(A[i][i] - theta) 
+
+            else:
+
+                k = 0
+                theta = 0
+
+                while k < j:
+
+                    theta += g[i][k]*g[j][k]
+                    k += 1
+
+                g[i][j] = (A[i][j] - theta)/g[j][j]
+
+            i += 1
+
+        j += 1
+        i = j
+                
+    y = (inverse(g)).dot(b) 
+    
+    x = (inverse(g.T)).dot(y)
+    
+    return x
+
+def decomposition(U, b):
+    
+    L = identity(np.zeros(U.shape))
+
+    i = 0
+    k = 0
+
+    while (i < U.shape[0]):
+        
+        k = 0
+
+        if (U[i][i] == 0):
+            
+            n = i
+            
+            while (U[i][i] == 0) and (n < U.shape[0]):
+                
+                temp = U[i].copy()
+                U[i] = U[n]
+                U[n] = temp
+                
+                n += 1
+        
+        while (k < U.shape[0]):
+            
+            if (k <= i) or (U[i][i] == 0):
+                
+                k += 1
+                
+            else:
+                L[k][i] = U[k][i]/U[i][i]
+                U[k] = U[k] - L[k][i]*U[i]
+                k += 1
+            
+        i += 1
+
+    y = (inverse(L)).dot(b) 
+    
+    x = (inverse(U)).dot(y)
+    
+    return x
+    
+def cramer(A, b):
+
+    x = np.vstack(np.zeros(b.shape))
+    k = 0
+
+    while (k < A.shape[0]):
+
+        temp = A.copy()
+        temp[:,k] = b
+
+        x[k] = np.linalg.det(temp)/np.linalg.det(A)
+        
+        k += 1
+    
+    return x
\ No newline at end of file
diff --git a/Source Code - Seals/scan/__init__.py b/Source Code - Seals/scan/__init__.py
new file mode 100644
index 0000000..c0167ff
--- /dev/null
+++ b/Source Code - Seals/scan/__init__.py	
@@ -0,0 +1,21 @@
+# Seals - Program made for educational intent, can be freely distributed
+# and can be used for economical intent. I will not take legal actions
+# unless my intelectual propperty, the code, is stolen or change without permission.  
+
+# Copyright (C) 2020  VItor Hideyoshi Nakazone Batista
+
+# This program is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License version 2 as published by
+# the Free Software Foundation.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU General Public License for more details.
+
+# You should have received a copy of the GNU General Public License along
+# with this program; if not, write to the Free Software Foundation, Inc.,
+# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+from .scan import numpy as np
+from .scan import pandas as pd
\ No newline at end of file
diff --git a/Source Code - Seals/scan/__pycache__/__init__.cpython-37.pyc b/Source Code - Seals/scan/__pycache__/__init__.cpython-37.pyc
new file mode 100644
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literal 0
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diff --git a/Source Code - Seals/scan/__pycache__/scan.cpython-37.pyc b/Source Code - Seals/scan/__pycache__/scan.cpython-37.pyc
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literal 0
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diff --git a/Source Code - Seals/scan/scan.py b/Source Code - Seals/scan/scan.py
new file mode 100644
index 0000000..07c5cbd
--- /dev/null
+++ b/Source Code - Seals/scan/scan.py	
@@ -0,0 +1,45 @@
+# Seals - Program made for educational intent, can be freely distributed
+# and can be used for economical intent. I will not take legal actions
+# unless my intelectual propperty, the code, is stolen or change without permission.  
+
+# Copyright (C) 2020  VItor Hideyoshi Nakazone Batista
+
+# This program is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License version 2 as published by
+# the Free Software Foundation.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU General Public License for more details.
+
+# You should have received a copy of the GNU General Public License along
+# with this program; if not, write to the Free Software Foundation, Inc.,
+# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+import numpy as np
+import pandas as pd
+
+def numpy(path, sep=None, decimal=None):
+
+    if sep is None:
+        sep = ","
+
+    if decimal is None:
+        decimal = "."
+
+    df=pd.read_csv(path, sep=sep, decimal=decimal, header=None)
+    array = df.to_numpy()
+
+    return array
+
+def pandas(path, sep=None, decimal=None):
+
+    if sep is None:
+        sep = ","
+
+    if decimal is None:
+        decimal = "."
+
+    return pd.read_csv(path, sep=sep, decimal=decimal)
+
diff --git a/Source Code - Seals/write/__init__.py b/Source Code - Seals/write/__init__.py
new file mode 100644
index 0000000..90f152d
--- /dev/null
+++ b/Source Code - Seals/write/__init__.py	
@@ -0,0 +1,21 @@
+# Seals - Program made for educational intent, can be freely distributed
+# and can be used for economical intent. I will not take legal actions
+# unless my intelectual propperty, the code, is stolen or change without permission.  
+
+# Copyright (C) 2020  VItor Hideyoshi Nakazone Batista
+
+# This program is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License version 2 as published by
+# the Free Software Foundation.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU General Public License for more details.
+
+# You should have received a copy of the GNU General Public License along
+# with this program; if not, write to the Free Software Foundation, Inc.,
+# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+from .write import numpy as np
+from .write import pandas as pd
\ No newline at end of file
diff --git a/Source Code - Seals/write/__pycache__/__init__.cpython-37.pyc b/Source Code - Seals/write/__pycache__/__init__.cpython-37.pyc
new file mode 100644
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diff --git a/Source Code - Seals/write/__pycache__/write.cpython-37.pyc b/Source Code - Seals/write/__pycache__/write.cpython-37.pyc
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literal 0
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diff --git a/Source Code - Seals/write/write.py b/Source Code - Seals/write/write.py
new file mode 100644
index 0000000..b9bd1e9
--- /dev/null
+++ b/Source Code - Seals/write/write.py	
@@ -0,0 +1,33 @@
+# Seals - Program made for educational intent, can be freely distributed
+# and can be used for economical intent. I will not take legal actions
+# unless my intelectual propperty, the code, is stolen or change without permission.  
+
+# Copyright (C) 2020  VItor Hideyoshi Nakazone Batista
+
+# This program is free software; you can redistribute it and/or modify
+# it under the terms of the GNU General Public License version 2 as published by
+# the Free Software Foundation.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+# GNU General Public License for more details.
+
+# You should have received a copy of the GNU General Public License along
+# with this program; if not, write to the Free Software Foundation, Inc.,
+# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+import csv
+
+def numpy(array, path):
+
+    with open(path, mode='w') as sistema_linear:
+
+        solution_writer = csv.writer(sistema_linear, delimiter=',', quotechar='"', quoting=csv.QUOTE_MINIMAL)
+        solution_writer.writerows(array)
+        
+    return array
+
+def pandas(df, path):
+    
+    df.to_csv(path)
\ No newline at end of file