JPS58184006A - Method and device for controlling width and thickness of band steel - Google Patents

Method and device for controlling width and thickness of band steel

Info

Publication number
JPS58184006A
JPS58184006A JP57068008A JP6800882A JPS58184006A JP S58184006 A JPS58184006 A JP S58184006A JP 57068008 A JP57068008 A JP 57068008A JP 6800882 A JP6800882 A JP 6800882A JP S58184006 A JPS58184006 A JP S58184006A
Authority
JP
Japan
Prior art keywords
width
rolls
thickness
copper strip
band steel
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
JP57068008A
Other languages
Japanese (ja)
Other versions
JPH0327284B2 (en
Inventor
Yukio Matsuda
行雄 松田
Kenzo Tachibana
立花 謙蔵
Tsutomu Ueno
勉 上野
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Nippon Steel Corp
Original Assignee
Sumitomo Metal Industries Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Sumitomo Metal Industries Ltd filed Critical Sumitomo Metal Industries Ltd
Priority to JP57068008A priority Critical patent/JPS58184006A/en
Priority to GB08300785A priority patent/GB2115732A/en
Priority to CA000419315A priority patent/CA1213762A/en
Priority to DE19833302333 priority patent/DE3302333A1/en
Priority to LU84605A priority patent/LU84605A1/en
Priority to FR8301398A priority patent/FR2522547B1/en
Priority to BE0/210003A priority patent/BE895745A/en
Priority to BR8300472A priority patent/BR8300472A/en
Publication of JPS58184006A publication Critical patent/JPS58184006A/en
Priority to US06/625,691 priority patent/US4555921A/en
Publication of JPH0327284B2 publication Critical patent/JPH0327284B2/ja
Granted legal-status Critical Current

Links

Classifications

    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B1/00Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations
    • B21B1/22Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations for rolling plates, strips, bands or sheets of indefinite length
    • B21B1/24Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations for rolling plates, strips, bands or sheets of indefinite length in a continuous or semi-continuous process
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B21MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21BROLLING OF METAL
    • B21B1/00Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations
    • B21B1/22Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations for rolling plates, strips, bands or sheets of indefinite length
    • B21B1/224Edge rolling of flat products

Abstract

PURPOSE:To control the width and thickness of a band steel uniformly by providing a rough control part which rolls down and corrects the width and thickness only in the longitudinal end part of the band steel and a fine control part which rolls down and corrects the width and thickness for the overall length of the band steel. CONSTITUTION:A basic unit A is formed of vertical rolls V of which the right and left rolls are paired and which are in press contact with both edges of a band steel (a), horizontal rolls H which are located in the same position on the line in the width direction as the position where the rolls V are in press contact and engagement with the band steel (a) and are in press contact and engagement with the top and bottom surfaces of the band steel (a) near both edges thereof, and a roll B for preventing buckling disposed between the right and left horizontal rolls H. A pair of upper and lower masher rolls M which screw down and correct the edges having an increased thickness are disposed on the downstream of said basic unit, whereby a rough control part 10 for width is provided. A fine control part 29 consisting of the plural units A and a pair of the rolls M is disposed on the downstream thereof. The band steel (a) having a uniform width and thickness is thus obtained.

Description

【発明の詳細な説明】 本発明は、脱スケールされた銅帯の板幅と厚みとを均一
に制御する方法および装置に関する。
DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a method and apparatus for uniformly controlling the width and thickness of a descaled copper strip.

銅帯の圧延過程では、板幅方向の両端部にエツジドロッ
プ(薄肉部分)が生ずることは避けられないもので、こ
の部分を取り除き、かつ板幅精度を確保するための唯一
の手段として、回転丸刃剪断によるサイト9トリミング
を実施している。しかしながら、このサイドトリミング
においては、銅帯の両縁を数ミリから数十ミリにわたっ
て切捨てるものであるので、通常1〜2%の歩留損失を
生ずる欠点があり、また、剪断面の性状によっては、冷
間圧延後の成品エツジが鋸刃状になって品質を低下させ
る欠点があった。
During the rolling process of copper strip, it is inevitable that edge drops (thin walled parts) occur at both ends in the strip width direction. Site 9 trimming is performed using round blade shearing. However, in this side trimming, both edges of the copper strip are cut off over several millimeters to several tens of millimeters, so there is a drawback that it usually causes a yield loss of 1 to 2%, and it also depends on the properties of the sheared surface. had the disadvantage that the edges of the finished product after cold rolling became saw-toothed, degrading quality.

この欠点を補う手段として、本発明者等は、脱スケール
された銅帯を、例えば酸洗ラインの出側か、または冷延
タンデムミルの入側において、板幅方向と板厚方向とを
同時に圧下修正させ、これによって剪断によるサイト書
リミングを行わずに所望の板厚を得る手段を既に開発し
てきた(特願昭56−47689号)。
As a means of compensating for this drawback, the present inventors have developed a technique for simultaneously rolling the descaled copper strip in the strip width direction and the strip thickness direction, for example, at the outlet side of a pickling line or at the inlet side of a cold rolling tandem mill. We have already developed a method for obtaining a desired plate thickness by correcting the reduction in thickness without performing site rimming by shearing (Japanese Patent Application No. 47,689/1989).

この先願において、基本となる技術思想は、第1図(ハ
))に示すように、両縁にエッジトゝロップbを伴った
不均一幅の鋼帯αを、まず第1図但)のように垂直ロー
ルVによって幅出し修正する。このとき、鋼帯αのエツ
ジ部には圧下によって多少の盛上りdが発生し、いわゆ
るドツグボーン形状の傾向が発生することとなるが、第
1図C)のように同時に上下の水平ロールHによって銅
帯を押え込み、板折れおよび揺動を防止し同時にエツジ
部の盛上りdは中央側へ抑圧成形されて全幅方向が均一
にならされることになる。   、 ・ 1 したがって、第1図但)の幅出し時点で圧下修正した板
幅Wが、第1図0に示す上下圧下時点で狂わされること
のないように、板幅の修正圧下と板厚の修正圧下とを同
じ位置で行うようにするか、またはわずかにずれた位置
でほぼ同時に行うようにする。そして、板幅や板厚の修
正量が大きいときは、前述の圧下修正工程を連続した複
数位置に設けて修正量を適当に分担させ、最終組のロー
ル間隔を所望の板厚Tおよび板幅Wにそれぞれ設定する
In this earlier application, the basic technical idea was to first create a steel strip α of uneven width with edge drops b on both edges, as shown in Figure 1 (c)). Then, correct the width using the vertical roll V. At this time, a slight bulge d is generated at the edge of the steel strip α due to the reduction, resulting in a so-called dogbone shape, but at the same time, the upper and lower horizontal rolls H The copper strip is held down to prevent the plate from bending and shaking, and at the same time, the protrusion d of the edge portion is suppressed toward the center and is made uniform across the entire width. , ・ 1 Therefore, in order to prevent the plate width W corrected at the time of width adjustment shown in Figure 1) from being deviated at the time of vertical reduction shown in Figure 1, the width correction and plate thickness should be adjusted. Make sure that the correction reduction and reduction are performed at the same location, or at slightly different locations and at approximately the same time. When the amount of correction of the sheet width or thickness is large, the above-mentioned reduction correction process is performed at multiple consecutive positions to appropriately share the amount of correction, and the roll spacing of the final set is adjusted to the desired sheet thickness T and sheet width. Set each to W.

このような制御手段で圧延を行った場合は、トリミング
損失を生ずることなく幅精度を向上させることができる
ので極めて有効ではあるが、この先願方法で圧延した材
料の板幅状況をみると、第2図に示すように材料の長手
方向のほぼ全長にわたって目標値Rに制御されてはいる
が、材料のトップTとボトムBの一定範囲においては誤
差が大きく現われており、必ずしも満足すべき制御結果
とはなっていない。
Rolling using such control means is extremely effective as it can improve the width accuracy without causing trimming loss, but looking at the width of the material rolled using the method of this prior application, it is found that As shown in Figure 2, although almost the entire length of the material in the longitudinal direction is controlled to the target value R, large errors appear in a certain range between the top T and bottom B of the material, and the control result is not necessarily satisfactory. It is not.

したがって、本発明の、1:目的は、先願の制御手段を
さらに一歩改善することによって、材料のトップおよび
ボトムを含む全長に対して安定した板幅と板厚を制御し
うる手段を提供し、品質・歩留の一層の向上を図ること
にある。
Therefore, the first object of the present invention is to provide a means for stably controlling the plate width and thickness over the entire length of the material, including the top and bottom, by further improving the control means of the prior application. The aim is to further improve quality and yield.

本発明においては、先願と同様のロール構成を基本ユニ
ットとして、ライン上に複数組を設け、上流側を偏組制
御部として選択的に使用し、下流側を偏置制御部として
常時使用する。
In the present invention, a plurality of sets are provided on the line using the same roll configuration as the previous application as a basic unit, and the upstream side is selectively used as an eccentric control section, and the downstream side is always used as an eccentric control section. .

本発明を構成するロールの基本ユニットは、第3図に示
すように、左右が対をなして鋼帯αの両エツジに圧接す
る垂直ロールVと、垂直ロールが銅帯に圧接係合する位
置と同じ板幅方向線上の位置にあって、銅帯の両エツジ
寄りの上下面に圧接係合する水平ロールHと、左右の水
平ロールの間に配置されるバックリンク防止ロールBと
、これらのロール群のやや下流にあって幅殺しによって
増厚したエツジを修正圧下する上下1対のマツシャ・ロ
ールMとから成る。
As shown in FIG. 3, the basic unit of rolls constituting the present invention consists of vertical rolls V that form a pair on the left and right and press against both edges of the steel strip α, and a position where the vertical rolls press and engage with the copper strip. A horizontal roll H that is located on the same line in the sheet width direction and press-fits into the upper and lower surfaces near both edges of the copper strip, and a backlink prevention roll B that is placed between the left and right horizontal rolls, and It consists of a pair of upper and lower matsha rolls M located slightly downstream of the roll group and correcting the edge thickness increased by width reduction.

A1、本発明法を実施するための具体的装置例を第1図
に示す。この装置は、走行する銅帯の両エツジ部の位置
に対向して対称状に設けられるので、その片側のみにつ
いて説明する。
A1. A specific example of an apparatus for carrying out the method of the present invention is shown in FIG. Since this device is installed symmetrically opposite the positions of both edges of the running copper strip, only one side thereof will be described.

ロールハウジング1は滑動イツト11に一体固設されて
板幅方゛向に位置移動可能に設けられ、また、上下が対
を成す2本の水平ロールHと、1本の垂直ロールVとを
組込んである。6本のロールは板幅方向の同一線上にお
いて上下横の三方向から同時に鋼帯αに圧接係合しうる
位置に組合わされる。
The roll housing 1 is integrally fixed to the sliding door 11 and is movable in the widthwise direction of the sheet, and also includes two horizontal rolls H and one vertical roll V, each of which forms a pair of upper and lower sides. It's crowded. The six rolls are assembled on the same line in the width direction of the sheet at a position where they can be press-fitted and engaged with the steel strip α simultaneously from three directions, up and down and lateral.

上側の水平ロールHは、流体圧シリンダ21によって上
下方向の移動が可能であって、圧下量調整可能に支持さ
れ、自在継手をかいして駆動モータ22の回転が伝達さ
れる。下側の水平ロールHはアイドルロールであってロ
ールハウジング1に軸受が固定されている。同様に、垂
直ロール■もアイドルロールになされている。これらの
ロールヲ組込んだロールハウジング1は流体圧シリンダ
5によって鋼帯αのエツジ方向へ押圧され、垂直ロール
■に所望の圧下を行わせる。
The upper horizontal roll H is movable in the vertical direction by a fluid pressure cylinder 21, supported so as to be able to adjust the amount of reduction, and the rotation of the drive motor 22 is transmitted through a universal joint. The lower horizontal roll H is an idle roll and has a bearing fixed to the roll housing 1. Similarly, the vertical roll (■) is also made into an idle roll. The roll housing 1 incorporating these rolls is pressed in the direction of the edge of the steel strip α by a hydraulic cylinder 5, causing the vertical roll 2 to perform a desired rolling reduction.

左右が対を成すロールハウジング1の間にはバックリン
グ防止ロールBを板幅方向に向けて水平配置してあり、
アイドルロールとして銅帯の上下面を押える。
A buckling prevention roll B is horizontally arranged between the pair of left and right roll housings 1, facing in the board width direction.
Press the top and bottom of the copper strip as an idle roll.

第4図に示す構成をもったロールユニットAとマツジャ
ロールMとを第5図のように圧延ライン上に順次配置し
、上流側に配置したユニツ)AとマツジャロールMとを
組として偏組制御部1oとする。そして、下流側に複数
のユニットAと1本のマツジャロールMとを組として配
置し、これを偏置制御部20とする。
A roll unit A and a matuja roll M having the configuration shown in FIG. 4 are sequentially arranged on a rolling line as shown in FIG. Let it be 1o. Then, a plurality of units A and one matuja roll M are arranged as a set on the downstream side, and this is set as an eccentric position control section 20.

本発明法においては、偏置制御部20の最終組のロール
ユニットに目揮板幅値を設定した後、板幅と板厚とを同
時圧延する。鋼帯αの全長にわたって常時偏置制御部2
0を稼動させて圧延を行うが、偏組制御部10は通常部
の圧延には使用せず、鋼帯αのトップTとボトムBとを
通板させる時のみ選択的に使用し、偏組制御部10と偏
置制御部20とを重複使用して圧延する。
In the method of the present invention, after setting the target plate width value for the final set of roll units of the eccentric control section 20, the plate width and plate thickness are simultaneously rolled. Constant eccentricity control section 2 over the entire length of the steel strip α
0 is operated to perform rolling, but the uneven assembly control section 10 is not used for rolling the normal part, but is used selectively only when passing the top T and bottom B of the steel strip α, Rolling is performed by using the control unit 10 and the eccentricity control unit 20 in duplicate.

このように構成した本発明の装置100の使用例を第6
図および第7図に示す。第6図の例は、酸洗槽50の次
に本装置を設けて修正圧下後巻域るり ものである。第7図の例は、冷間圧延機60の入側に設
けて修正圧下な施した後、冷間圧延を行うものである。
A sixth example of use of the device 100 of the present invention configured as described above is described below.
As shown in FIG. In the example shown in FIG. 6, this device is installed next to the pickling tank 50 to create a rolling area after correction and rolling. The example shown in FIG. 7 is provided on the entry side of a cold rolling mill 60 to perform correction rolling and then cold rolling.

いずれの場合も、銅帯のエツジドロップは取除かれ、板
クラウンも減少し、板幅精度を満足させる。
In either case, the edge drop of the copper strip is removed, the plate crown is also reduced, and the plate width accuracy is satisfied.

次に、本発明法による具体的実施例について説明する。Next, specific examples according to the method of the present invention will be described.

板幅変動目標幅±3mm、板クラウン60μの脱スケー
ル酸洗法熱延銅帯(3,011X 12361!11×
25トン)を、本装置の設置ラインに通過させ、板厚方
向と板幅方向に圧下を加えて板幅な1232朋に均一化
させることができた。この場合、従来はトリム代として
14+mが切捨てられていたのでこの分が成品化され、
1.1%のトリム歩留の向上が認められた。また、冷間
圧延後のエツジ上90ツブは先願法に比べて9μ減少し
た。このため、従来品よりもさらに9μの不必要な厚目
引きが不要となり0.9%の歩留向上となった。
Plate width variation target width ±3mm, descaling pickling method hot rolled copper strip with plate crown 60μ (3,011X 12361!11X
25 tons) was passed through the installation line of this device, and by applying pressure in the board thickness direction and the board width direction, it was possible to uniformize the board width to 1232 mm. In this case, since 14+m was traditionally cut off as a trim allowance, this amount is converted into a finished product.
An improvement in trim yield of 1.1% was observed. Further, the 90 burr on the edge after cold rolling was reduced by 9μ compared to the method of the prior application. Therefore, unnecessary thickening of 9 μm was unnecessary compared to the conventional product, and the yield was improved by 0.9%.

このように、本発明の制御方法によれば、銅帯の幅方向
と厚み方向とを同時に圧下修正することができ、しかも
トップ部とボトム部とを含む全長111; にわたって均一値に圧下修正できることによってトリミ
ング損失を生ずることなく、幅精度を一層向上させるこ
とができる。したがって、成品歩留の向上には極めて有
効となる。
As described above, according to the control method of the present invention, it is possible to simultaneously correct the reduction in the width direction and the thickness direction of the copper strip, and moreover, it is possible to correct the reduction to a uniform value over the entire length 111 including the top and bottom parts. Accordingly, width accuracy can be further improved without causing trimming loss. Therefore, it is extremely effective in improving the product yield.

【図面の簡単な説明】[Brief explanation of the drawing]

第1図は本発明法の圧下修正過程の原理を段階的に示す
説明図。第2図は本発明法実施前の板幅制御状態を示す
線図。第3図は本発明に係る基本ユニットの構成を示す
上面図。第4図は本発明に係る装置の一実施例を対称片
側部を省略して示す正面図。第5図は本発明、装置の実
施例の斜視図。 第6図および第7図は本発明の装置の使用例を示す概略
的な説明図。
FIG. 1 is an explanatory diagram showing step by step the principle of the rolling correction process of the present invention. FIG. 2 is a diagram showing the board width control state before implementing the method of the present invention. FIG. 3 is a top view showing the configuration of the basic unit according to the present invention. FIG. 4 is a front view showing one embodiment of the device according to the present invention with one symmetrical side omitted. FIG. 5 is a perspective view of an embodiment of the apparatus according to the present invention. FIGS. 6 and 7 are schematic explanatory diagrams showing an example of use of the apparatus of the present invention.

Claims (2)

【特許請求の範囲】[Claims] (1)  熱間圧延した後脱スケールされた銅帯が走行
するラインにおいて、銅帯の長手方向端部のみに対して
銅帯の幅および厚みな圧下修正する粗制御工程と、銅帯
の全長に対して銅帯の幅および厚みな圧下修正する密制
御工程とを各々少なくとも1回行い、最終の圧下で所望
の板幅および板厚を得られるようにtたことを特徴とす
る銅帯の幅および厚み制御方法。
(1) On the line where the hot-rolled and descaled copper strip runs, there is a coarse control process that corrects the width and thickness of the copper strip only at the longitudinal ends of the strip, and the entire length of the copper strip. A finely controlled step of correcting the width and thickness of the copper strip is performed at least once each, so that the desired width and thickness can be obtained in the final rolling. Width and thickness control methods.
(2)銅帯走行ラインの両側に左右が対をなして設けら
れた少なくとも対の幅圧下用垂直ロール、前記垂直ロー
ルが銅帯に圧接係合する位置と同じ板幅方向線上の位置
において該位置から銅帯がバックリングしない範囲に離
れて銅帯の上下面圧圧接係合する1対の水平ロールを有
する基本ユニットと、前記水平ロールの圧接係合位置の
下流にあって幅圧下によって増厚したエツジを修正圧下
する1対のマツジャロールとから構成された偏組制御部
と、 複数組の前記基本ユニットと1対の前記マツジャロール
とから構成された偏置制御部とからなる銅帯の幅および
厚み制御装置。
(2) At least a pair of width rolling vertical rolls provided in pairs on both sides of the copper strip running line, at the same position on the strip width direction line as the position where the vertical rolls press and engage with the copper strip. A basic unit having a pair of horizontal rolls that press and engage the upper and lower surfaces of the copper strip at a distance within a range where the copper strip does not buckle; The width of the copper strip is made up of an uneven setting control section composed of a pair of matuja rolls for correcting and rolling down thick edges, and an eccentric control section composed of a plurality of sets of the basic units and a pair of the matuja rolls. and thickness control device.
JP57068008A 1982-03-02 1982-04-22 Method and device for controlling width and thickness of band steel Granted JPS58184006A (en)

Priority Applications (9)

Application Number Priority Date Filing Date Title
JP57068008A JPS58184006A (en) 1982-04-22 1982-04-22 Method and device for controlling width and thickness of band steel
GB08300785A GB2115732A (en) 1982-03-02 1983-01-12 Method and apparatus for controlling width and thickness of strip
CA000419315A CA1213762A (en) 1982-03-02 1983-01-12 Method and apparatus for controlling width and thickness of strip
DE19833302333 DE3302333A1 (en) 1982-03-02 1983-01-25 METHOD AND DEVICE FOR ADJUSTING THE WIDTH AND THICKNESS OF A STRIP STEEL
LU84605A LU84605A1 (en) 1982-03-02 1983-01-26 METHOD AND APPARATUS FOR CONTROLLING THE WIDTH AND THICKNESS OF A STRIP
FR8301398A FR2522547B1 (en) 1982-03-02 1983-01-28 METHOD AND DEVICE FOR CONTROLLING THE WIDTH AND THICKNESS OF A STRIP
BE0/210003A BE895745A (en) 1982-03-02 1983-01-28 METHOD AND APPARATUS FOR ADJUSTING THE WIDTH AND THICKNESS OF A STRIP
BR8300472A BR8300472A (en) 1982-03-02 1983-01-31 PROCESS AND APPARATUS FOR THE CONTROL OF WIDTH AND THICKNESS OF A STRIP
US06/625,691 US4555921A (en) 1982-03-02 1984-06-28 Method and apparatus for controlling width and thickness of strip

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP57068008A JPS58184006A (en) 1982-04-22 1982-04-22 Method and device for controlling width and thickness of band steel

Publications (2)

Publication Number Publication Date
JPS58184006A true JPS58184006A (en) 1983-10-27
JPH0327284B2 JPH0327284B2 (en) 1991-04-15

Family

ID=13361393

Family Applications (1)

Application Number Title Priority Date Filing Date
JP57068008A Granted JPS58184006A (en) 1982-03-02 1982-04-22 Method and device for controlling width and thickness of band steel

Country Status (1)

Country Link
JP (1) JPS58184006A (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS60180607A (en) * 1984-02-28 1985-09-14 Ishikawajima Harima Heavy Ind Co Ltd Continuous manufacturing installation of thin sheet

Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS4946699A (en) * 1972-07-24 1974-05-04

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS4946699A (en) * 1972-07-24 1974-05-04

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS60180607A (en) * 1984-02-28 1985-09-14 Ishikawajima Harima Heavy Ind Co Ltd Continuous manufacturing installation of thin sheet

Also Published As

Publication number Publication date
JPH0327284B2 (en) 1991-04-15

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