JP6194564B1 - Operation processing apparatus, method, and computer program - Google Patents

Abstract

An object can be moved or rotated by a simple and intuitive operation. An operation processing apparatus includes an object information storage unit that stores information relating to a predetermined reference point and an operation region around the reference point in association with an object. When the operation information acquisition unit 11 detects a specified position by the user on the screen and acquires the movement of the specified position as the operation information, the display control unit 12 refers to the object information storage unit 1A and operates the operation information. Based on the above, the operation of the object is reflected on the screen. At this time, when the designated position includes the reference point, the object is moved on the screen according to the moving direction and the moving amount of the designated position. When the specified position does not include the reference point but is in the operation area and the specified position rotates around the reference point, the object is displayed on the screen according to the rotation direction and the rotation amount of the specified position. Rotate with [Selection] Figure 1

Description

  The present invention relates to an operation of an object on a screen, and more particularly to an object that facilitates the operation.

  Recently, touch panel compatible displays are widely used, and techniques for improving the operability of data input on such displays have been proposed.

For example, in Patent Document 1, a touch screen display having a display screen for displaying information and a detection unit for detecting contact on the display screen, a reference point setting unit for setting one contacted position as a reference point, After a reference point is set, an operation information acquisition unit that acquires movement of the contacted position detected by the detection unit as operation information, and a relative position of the contacted position acquired as the operation information with respect to the position of the reference point An information terminal is proposed that includes a display control unit that controls the display screen on the basis of a change.
Further, in Patent Document 2, a touch panel and a control unit are provided. The touch panel includes a first designated area in which a rotation operation can be instructed on a displayed object, and a second in which a parallel movement operation can be instructed. A designated area and a third designated area capable of instructing an enlargement or reduction operation are set in advance, and the control means displays the designated object on the touch panel, and is touched on the first designated area of the touch panel. When the touch position is moved while maintaining the touch, the object is rotated and displayed according to the movement direction and the movement amount, and the touch is maintained by being touched on the second designated area of the touch panel. When the touch position is moved in the state of being touched, the object is translated and displayed in accordance with the movement direction and the movement amount, and the touch panel is touched on the third designated area of the touch panel. When the touch position while maintaining the pitch is moved, a touch panel device and displaying enlarge or to shrink the object in accordance with the moving direction and the moving amount has been proposed.

JP 2014-209334 A JP 2007-087324 A

  However, the terminal described in Patent Document 1 has to set a reference point every time it is operated, which is troublesome. Moreover, since the designated area is set at a position unrelated to the object, the device described in Patent Document 2 is not intuitive enough to operate the object.

  Accordingly, an object of the present invention is to enable an object to be moved or rotated by a simple and intuitive operation.

  In order to achieve the above object, an operation processing device according to an aspect of the present invention is a device that executes processing according to an operation on an object by a user on a screen on which the object is displayed. In association therewith, an object information storage means storing information relating to a predetermined reference point and an operation area around the reference point, and detecting the specified position by the user on the screen and operating the movement of the specified position Operation information acquisition means for acquiring information, and display control means for reflecting the operation of the object on the screen based on the operation information with reference to the object information storage means, and the display control means In the case where the designated position includes the reference point, the object according to the moving direction and the moving amount of the designated position. The moving display process for moving on the screen and the specified position when the specified position does not include the reference point but is in the operation area and the specified position rotates around the reference point. And a rotation display process for rotating the object on the screen in accordance with the rotation direction and the rotation amount.

  In addition, when a designated position by the user is detected on the screen, the designated position includes the reference point, does not include the reference point, but is divided into cases in the operation area. It is also possible to further include identification display means for displaying an identification display according to the above on the screen.

  The identification display in the identification display means may be based on color-coded display of the object.

  The reference point may be a center point of the object.

  The designated position by the user may be configured as a touch position on the touch panel display.

  The designated position by the user may be configured as a click position by a pointing device.

  An operation processing method according to another aspect of the present invention is a method for executing processing according to an operation on an object by a user on a screen on which the object is displayed. A computer having a reference point and object information storage means for storing information related to an operation area around the reference point is used to detect a designated position by the user on the screen and to control the movement of the designated position. An operation information acquisition process to be acquired as follows, and a display control process for reflecting the operation of the object on the screen based on the operation information with reference to the object information storage means. When the specified position includes the reference point, the above-mentioned option is determined according to the moving direction and moving amount of the specified position. A moving display process for moving an object on the screen, and when the designated position does not include the reference point but is in the operation area and the designated position rotates around the reference point. Rotation display processing for rotating the object on the screen according to the rotation direction and rotation amount of the designated position.

  A computer program according to still another aspect of the present invention is a computer program for executing a process according to an operation on an object by a user on a screen on which the object is displayed, and is associated with the object. Detecting a specified position by the user on the screen for a computer having a predetermined reference point and object information storage means storing information related to an operation area around the reference point, and An operation information acquisition process for acquiring movement as operation information and a display control process for reflecting the operation of the object on the screen based on the operation information are executed. When the reference point is included, depending on the moving direction and moving amount of the specified position, The moving display process for moving the object on the screen, and the designated position does not include the reference point but is in the operation area, and the designated position rotates around the reference point. Rotation display processing for rotating the object on the screen according to the rotation direction and rotation amount of the designated position.

  According to the present invention, an object can be moved or rotated by a simple and intuitive operation.

It is the functional block diagram which showed the function with which the operation processing apparatus which concerns on this embodiment is provided. It is the figure which showed an example of the data memorize | stored in the object information storage part in the operation processing apparatus which concerns on this embodiment. In the operation processing apparatus concerning this embodiment, it is a mimetic diagram showing an object, a reference point set to the object, and an operation field. It is the processing flow figure which showed the flow of the whole process by the operation processing apparatus which concerns on this embodiment. 5 is an example of a screen showing a designated position for an object in the operation processing apparatus according to the present embodiment. It is the figure which showed the process of the transition by a movement display process among the processes by the operation processing apparatus which concerns on this embodiment, Comprising: (a) Before movement, (b) After movement is shown. It is the figure which showed the process of the transition by a rotation display process among the processes by the operation processing apparatus which concerns on this embodiment, Comprising: (a) Before rotation and (b) After rotation are shown. In the operation processing apparatus according to the present embodiment, it is a schematic diagram showing another setting example of the operation region of the object. It is the figure which showed the example of a screen in the system to which the operation processing apparatus which concerns on this embodiment is applied. It is the figure which showed the example of a screen in the system to which the operation processing apparatus which concerns on this embodiment is applied. It is the figure which showed the example of a screen in the system to which the operation processing apparatus which concerns on this embodiment is applied. It is the figure which showed the example of a screen in the system to which the operation processing apparatus which concerns on this embodiment is applied. In embodiment relevant to this invention, it is the figure which showed the process of the transition by a movement display process, Comprising: (a) Before rotation and (b) After rotation are shown. In embodiment relevant to this invention, it is the figure which showed the process of the transition by a rotation display process, Comprising: (a) Before rotation, (b) After rotation is shown.

Hereinafter, an operation processing apparatus according to an embodiment of the present invention will be described with reference to the drawings.
The operation processing device 1 according to the present embodiment illustrated in FIG. 1 is a device that executes processing according to an operation performed on the object by a user on a screen on which the object is displayed.
In this embodiment, the operation processing apparatus 1 has both a function of displaying an object on the screen and receiving an operation by the user and a function of reflecting an operation on the object on the screen. Can also be implemented in separate devices or terminals, respectively. In this case, for example, the function can be provided by an ASP (Application Service Provider) method or the like.

  The operation processing device 1 is realized by a so-called personal computer, a tablet terminal, or the like, hardware resources such as a CPU (Central Processing Unit), a RAM (Random Access Memory), a ROM (Read Only Memory), a hard disk drive, and a computer executed by the CPU. A software resource such as a program constitutes a functional block including an object information storage unit 1A, an operation information acquisition unit 11, a display control unit 12, an identification display unit 13, and an input / output processing unit 14.

The object information storage unit 1A is a storage unit that stores information related to objects.
For example, as shown in FIG. 2, the object information storage unit 1A stores image data of an object having various data formats, a reference point of the object, and information related to an operation area of the object.

The reference point of the object is a position for determining the type of operation for the object requested by the user when the object is designated on the screen by the user. The reference point of the object is a predetermined position in the image of the object. Is set.
In this embodiment, the reference point of the object is set to the center point or the center coordinate of the object. When the reference point is designated by the user, it is determined that the user is requested to move the object. The

The object operation area is an area for determining the type of operation for the object requested by the user when the object is designated on the screen by the user, and is set around the reference point of the object.
In this embodiment, the operation area of the object is set around the reference point set at the center of the object and inside the outer edge shape of the object. When this operation area is designated by the user, it is determined that the user has requested the object rotation operation.

Here, with reference to FIG. 3, the reference point and the operation area of the object will be described in detail.
The example of FIG. 3A shows an object 10 composed of a rectangular image. A reference point 11 is set at the center point of the object 10. Further, the outer edge of the operation area of the object 10 is defined along the outer edge shape of the object 10, and the inner area of the outer edge shape is set as the operation area 12.
The example of FIG. 3B shows an object 20 composed of a substantially cross-shaped image. This object 20 also has a reference point 21 as the center point. Further, the outer edge of the operation area of the object 20 is defined along the outer edge shape of the object 20, and the inner area of the outer edge shape is set as the operation area 22.

The operation information acquisition unit 11 detects a specified position by the user on the screen and executes a process of acquiring the movement of the specified position as operation information.
In the present embodiment, the output screen of the operation processing apparatus 1 is configured by a touch panel compatible display, and designation by the user is executed by touching the screen with a finger or a stylus. Then, the operation information acquisition unit 11 detects the contact position of the finger or stylus on the screen as the designated position. Further, when the finger or stylus moves while maintaining the contact state with the screen, information including the start point, end point, and route in the movement of the designated position is acquired as operation information.

The display control unit 12 refers to the object information storage unit 1A and executes a process of reflecting the operation of the object on the screen based on the operation information acquired by the operation information acquisition unit 11.
The processing by the display control unit 13 includes a moving display process and a rotation display process. The movement display process is a process of moving the object on the screen according to the moving direction and the moving amount of the designated position when the designated position moves when the designated position by the user includes the reference point. In the rotation display process, when the specified position by the user does not include the reference point but is in the operation area, the object is displayed on the screen according to the rotation direction and the rotation amount of the specified position when the specified position rotates around the reference point. This is the process of rotating above.

  When the identification display unit 13 detects a designated position by the user on the screen, the identification display unit 13 includes a case where the designated position includes the reference point of the object, a case where it does not include the reference point of the object, but is within the operation region. The identification display corresponding to each case is displayed on the screen.

  Specifically, for example, when a specific position is specified by the user, if the specified position includes a reference point of the object, the color of the object is displayed in a specific color. On the other hand, when the designated position does not include the reference point of the object but is within the operation area, the color of the object is displayed in a different color from the case where the designated position includes the reference point of the object. By color-coding in this way, the user can grasp whether or not the position designated by himself / herself includes a reference point, and whether the position is within the operation area or outside the operation area.

In the present embodiment, when the position designated by the user is outside the operation area of the object, special identification display such as color coding is not performed, so that the user knows that the designated position is outside the operation area. However, the present invention is not limited to this, and in another example, the object color may be displayed in a different color when it is outside the operation area.
Further, the identification display by color coding is an example, and in another example, a predetermined window may be provided to display what position is designated by the designated position in the window.

  The input / output processing unit 14 is a processing unit that executes data input / output processing. Specifically, the input / output processing unit 14 is realized by a display corresponding to a touch panel, and an operation on the object is instructed by touching the screen with a user's finger or the like.

Next, the flow of processing executed by the operation processing apparatus 1 according to the present embodiment will be described with reference to the processing flow shown in FIG. 4 and the screen examples shown in FIGS.
5 to 7 show an example in which the object 20 is displayed on the screen S. For convenience of explanation, the reference point 21 and the operation area of the object 20 that are not actually displayed on the screen S are shown. 22 is illustrated. In the drawing, the star indicates designated positions 31, 32, and 33 touched by the user.

First, when the user touches the screen S on the screen S on which the object 20 is displayed in a superimposed manner, the designated position is detected by the operation information acquisition unit 12 (S101).
At this time, the processing changes depending on where the detected designated position is on the screen.

If the detected designated position is not within the operation area of the object (S102), the operation by the user is processed as an operation on the screen displaying the object (S103).
That is, in the example of FIG. 5, when the designated position 33 is detected outside the operation area 22 of the object 20, the user is processed as requesting an operation on the display screen S. For example, processing such as scrolling the display screen S and inputting data is executed in response to a user request.

  On the other hand, if the detected designated position is within the operation area of the object 20, first, the identification display unit 13 colors the object 20 according to whether or not the designated position includes the reference point 21 of the object 20. A display is made (S105, 108). In FIG. 5, the designated position 31 includes the reference point 21 and the designated position 32 does not include the reference point 21.

  When the specified position includes the reference point 21 of the object 20 (specified position 31), the operation information acquisition unit 11 acquires the movement of the specified position 31 as operation information (S106), and the display control unit 12 Thus, the movement display process of the object 20 is executed (S107).

Here, the movement display process will be described in detail with reference to FIG. 6A shows a state before the object 20 moves, and FIG. 6B shows a state after the object 20 moves.
First, as shown in FIG. 6A, on the screen S, the user designates a position including the reference point 21 of the object 20 with a fingertip (designated position 31). Then, the fingertip is moved to the designated position 31a while maintaining the contact of the finger with the screen S.
In response to this, the operation information acquisition unit 11 acquires information relating to the moving direction and moving amount from the specified position 31 to the specified position 31a as operation information. Then, as shown in FIG. 6B, the display control unit 12 moves the object 20 according to the moving direction and moving amount from the specified position 31 to the specified position 31a based on the acquired operation information.

  On the other hand, when the designated position is within the operation area 22 but does not include the reference point 21 of the object 20 (designated position 32), the operation information acquisition unit 11 rotates the designated position 32 around the reference point 21. While being acquired as operation information (S109), the display control part 12 performs the rotation display process of the object 20 (S110).

Here, the rotation display processing will be described in detail with reference to FIG. 7A shows a state before the object 20 rotates, and FIG. 7A shows a state after the object 20 rotates.
First, as shown in FIG. 7A, on the screen S, the user designates a position that does not include the reference point 21 within the operation area 22 of the object 20 with the fingertip (designated position 32). Then, while maintaining the contact of the finger with the screen S, the fingertip is rotated around the reference point 21 to the designated position 32a.
In response to this, the operation information acquisition unit 11 acquires information related to the rotation direction and rotation amount from the specified position 32 to the specified position 32a as operation information. Then, as shown in FIG. 7B, the display control unit 12 moves the object 20 to the reference point 21 according to the rotation direction and the rotation amount from the specified position 32 to the specified position 32a based on the acquired operation information. Rotate around.

According to the operation processing apparatus 1 according to the present embodiment described above, an object can be moved or rotated with one finger by a simple and intuitive operation.
In addition, since identification display such as color coding is made according to the designated position of the object, the user can grasp which part of the object he / she is pointing to, thereby moving or displaying the object. It is possible to grasp which of these is possible.

  In the embodiment described above, in the example of FIGS. 5 to 7, the reference point 21 and the operation area 22 of the object 20 on the screen S, and the positions touched by the user (specified positions 31, 32, 33). ) Is not displayed, but in another embodiment of the present invention, it is also possible to display the reference point, the operation area, and the designated position so as to be easily understood.

  In the present embodiment, in the example of FIG. 5, the shape of the operation region 22 is set along the outer edge shape of the object 20. Regardless of this, as shown in FIG. 8, the outer edge of the object 20 is set. Any shape that is outside the reference point 21 and that can be reasonably understood to designate the object 20, such as a shape substantially along the shape (rectangular operation region 23 in FIG. 8), may be used.

In the present embodiment, the operation processing device 1 is configured as a touch panel-compatible display, and the object is specified by touching the screen with a user's finger or the like. However, even when a pointing device such as a mouse is used, The object can be moved and rotated.
For example, the movement of an object is realized by placing the cursor on the reference point of the object and clicking on it to determine the specified position of the object, and using the drag and drop drop position as the specified position after the movement. it can.

  In addition, the rotation of the object is within the operation area of the object, but the specified position is determined by clicking a position that does not include the reference point, and the specified position is rotated around the reference point while maintaining the clicked state. Thus, it is possible to request the rotation of the object.

Hereinafter, as an example in which the operation by the operation processing device 1 according to the present embodiment is suitably applied, a system for searching for a building including a floor plan that can be built on a predetermined land based on information on the land and the floor plan will be described. .
In this example, as shown in FIG. 9, a map showing the division of land is displayed on the screen S, and a predetermined land section D is displayed in the map.
On the other hand, a floor plan extracted as a search result by a predetermined search system is displayed as an object 50 in the lower part of the screen S. In the object 50, a reference point 51 and an operation area 52 that are not actually displayed are set.

The user applies the object 50 to the land parcel D in order to grasp whether or not the object 50 can be constructed in the land parcel D, and in what direction it can be constructed.
At this time, in order to move the object 50 onto the land section D, the user first designates the position including the reference point 51 as the designated position 61 by touching the screen S.
Then, with the finger in contact with the screen S, the fingertip is moved to the designated position 61a as shown in FIG. At this time, the operation information acquisition unit 11 acquires information related to the movement direction and movement amount from the specified position 61 to the specified position 61a as operation information, and the display control unit 12 responds to the object 50 on the screen S in response to this. Is moved to the designated position 61a.

Furthermore, as shown in FIG. 11, the user redesignates a position that is within the operation area 52 but does not include the reference point 51 as the designated position 61b.
Then, with the finger in contact with the screen S, the fingertip is rotated around the reference point 51 to the designated position 61c as shown in FIG. At this time, the operation information acquisition unit 11 acquires information regarding the rotation direction and rotation amount from the specified position 61b to the specified position 61c as operation information, and the display control unit 12 responds to the object 50 on the screen S in response to this. Rotate.

As described above, the user moves the object 50 to the position of the land parcel D, and rotates the object 50 according to the shape of the land parcel D, so that the object 50 fits in any direction on the land parcel D. It is possible to know whether or not a building with a predetermined floor space, which is the object 50, can be constructed on the land section D, and in what direction it can be constructed.
By applying the operation by the operation processing device 1 according to the present embodiment to such a system so as to be executable, the user can easily move and rotate the object by an easy and intuitive operation.

In addition, regarding the operation of the object, an example of processing according to another embodiment related to processing by the operation processing device 1 according to the present embodiment will be described. This process, when the pointing device or input device such as a mouse is used, by a predetermined algorithm, and makes it possible to operate the movement and rotation of the object.
In this example, as shown in FIGS. 13 and 14, an operation area 72 is set in the object 70, but no reference point is set.
The movement display process of the object 70 in this example will be described. First, as shown in FIG. 13A, when the user places the cursor in the operation area 72 of the object 70 and clicks it as it is, the position of the cursor is determined as the designated position 41 a of the object 70. Then, as shown in FIG. 13B, when drag and drop is executed, the drop position becomes the designated position 41b after movement. The object 70 is moved and displayed based on the moving direction and moving amount from the designated position 41a to the designated position 41b.

  Further, the rotation display process of the object 70 will be described. First, as shown in FIG. 14A, the user moves the cursor 42 to an arbitrary position in the operation area 72 of the object 70. The position of the cursor 42 is identified as the position designated by the user, and it is always identified and determined whether or not the position designated by the cursor 42 is within the operation area 72. As long as the cursor 42 is in the operation area 72, a rotation operation (scroll operation) of the wheel (rotor) of the mouse (input device) is processed as a rotation display processing request for the object 70. When the user places the cursor 42 in the operation area 70 of the object 70 and rotates the mouse wheel (scrolling operation), as shown in FIG. Thus, the object 70 is rotated.

Also in this example, it is determined that the operation area 72 is clicked and the click state is maintained, and that the position of the cursor 42 is matched with the operation area 72 and the designated position is within the operation area 72. In some cases, identification display such as color-coded display of the object 70 can also be performed. Accordingly, the user can determine whether the object 70 is in a state in which the moving display process can be executed or whether the object 70 is in a rotation display process.
According to this example, even when a pointing device is used, the object can be moved or rotated by a simple and intuitive operation.

<Appendix>
A device that executes processing according to an operation on the object by a user on a screen on which the object is displayed,
An object information storage means for storing information relating to the operation area set in accordance with the outer edge shape of the object in association with the object;
Operation information acquisition for detecting a specified position by the user on the screen and acquiring movement of the specified position, an instruction position by a predetermined input device, and a rotation operation of a rotor of the predetermined input device as operation information Means,
Display control means for reflecting the operation of the object on the screen based on the operation information with reference to the object information storage means;
The display control means includes
A moving display process for moving the object on the screen in accordance with a moving direction and a moving amount of the designated position when the designated position is in the operation area;
A rotation display process for rotating the object on the screen according to a rotation direction and a rotation amount of a rotor of the input device when the designated position is in the operation area;
An operation processing device.

DESCRIPTION OF SYMBOLS 1 Operation processing apparatus 1A Object information storage part 11 Operation information acquisition part 12 Display control part 13 Identification display part 14 Input / output processing part

Claims (8)

On the map showing the shape of the divided land parcels, processing is performed according to the user's operation on the object consisting of image data showing the floor plan of the building, and the object is superimposed on the map at a predetermined position and orientation A device for displaying ,
An object information storage means for storing information relating to a reference point set in the center of the object in association with the object and an operation area around the reference point and set inside the outer edge shape of the object When,
Operation information acquisition means for detecting a specified position by the user and acquiring movement of the specified position as operation information on a screen in which the object is displayed superimposed on a map showing the shape of the land parcel When,
Display control means for reflecting the operation of the object on the screen based on the operation information with reference to the object information storage means;
The display control means includes
When the designated position includes the reference point, a movement display process for moving the object on the map showing the shape of the land parcel according to the movement direction and the movement amount of the designated position;
When the designated position does not include the reference point but is in the operation area and the designated position rotates around the reference point, the designated position is rotated according to the rotation direction and the rotation amount of the designated position. A rotation display process for rotating the object on the map showing the shape of the land parcel ,
An operation processing device. When the designated position by the user is detected on the screen, if the designated position includes the reference point, the designated point is not included, but the case is in the operation area, depending on the case. An identification display means for displaying the identification display on the screen,
The operation processing apparatus according to claim 1. The identification display in the identification display means is based on the color-coded display of the object.
The operation processing apparatus according to claim 2. On the screen, there are provided a column for displaying the map and a column for displaying the object extracted as a search result by a predetermined search system, which is extracted as the search result based on the operation of the user. The object is superimposed and displayed on the map at a predetermined position and orientation.
The operation processing apparatus according to claim 1. The specified position by the user is configured as a touch position on the touch panel display.
The operation processing apparatus according to claim 1. The specified position by the user is configured as a click position by a pointing device.
The operation processing apparatus according to claim 1. On the map showing the shape of the divided land parcels, processing is performed according to the user's operation on the object consisting of image data showing the floor plan of the building, and the object is superimposed on the map at a predetermined position and orientation A display method,
An object information storage means for storing information relating to a reference point set in the center of the object in association with the object and an operation area around the reference point and set inside the outer edge shape of the object By a computer having
An operation information acquisition process for detecting a specified position by the user and acquiring movement of the specified position as operation information on a screen in which the object is displayed superimposed on a map showing the shape of the land parcel When,
Referring to the object information storage means, and performing display control processing for reflecting the operation of the object on the screen based on the operation information;
The display control process is
When the designated position includes the reference point, a movement display process for moving the object on the map showing the shape of the land parcel according to the movement direction and the movement amount of the designated position;
When the designated position does not include the reference point but is in the operation area and the designated position rotates around the reference point, the designated position is rotated according to the rotation direction and the rotation amount of the designated position. Rotation display processing for rotating the object on the map on which the shape of the land parcel is shown .
An operation processing method characterized by the above. On the map showing the shape of the divided land parcels, processing is performed according to the user's operation on the object consisting of image data showing the floor plan of the building, and the object is superimposed on the map at a predetermined position and orientation A computer program for displaying ,
An object information storage means for storing information relating to a reference point set in the center of the object in association with the object and an operation area around the reference point and set inside the outer edge shape of the object For computers with
An operation information acquisition process for detecting a specified position by the user and acquiring movement of the specified position as operation information on a screen in which the object is displayed superimposed on a map showing the shape of the land parcel When,
A display control process for reflecting the operation of the object on the screen based on the operation information;
The display control process is
When the designated position includes the reference point, a movement display process for moving the object on the map showing the shape of the land parcel according to the movement direction and the movement amount of the designated position;
When the designated position does not include the reference point but is in the operation area and the designated position rotates around the reference point, the designated position is rotated according to the rotation direction and the rotation amount of the designated position. Rotation display processing for rotating the object on the map on which the shape of the land parcel is shown .
Computer program.

Images