JPH01184340A - Method and device for temperature control for radiant heater/cooler - Google Patents

Method and device for temperature control for radiant heater/cooler

Info

Publication number
JPH01184340A
JPH01184340A JP63007209A JP720988A JPH01184340A JP H01184340 A JPH01184340 A JP H01184340A JP 63007209 A JP63007209 A JP 63007209A JP 720988 A JP720988 A JP 720988A JP H01184340 A JPH01184340 A JP H01184340A
Authority
JP
Japan
Prior art keywords
heat exchange
heat
air
exchange fins
panel
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
JP63007209A
Other languages
Japanese (ja)
Other versions
JPH0749867B2 (en
Inventor
Hitoshi Sato
等 佐藤
Taku Ishihara
卓 石原
Mitsunori Ozaki
尾崎 光則
Tetsuo Onishi
徹夫 大西
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.)
Komatsu Ltd
Original Assignee
Komatsu 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 Komatsu Ltd filed Critical Komatsu Ltd
Priority to JP63007209A priority Critical patent/JPH0749867B2/en
Publication of JPH01184340A publication Critical patent/JPH01184340A/en
Publication of JPH0749867B2 publication Critical patent/JPH0749867B2/en
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

Links

Classifications

    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F24HEATING; RANGES; VENTILATING
    • F24FAIR-CONDITIONING; AIR-HUMIDIFICATION; VENTILATION; USE OF AIR CURRENTS FOR SCREENING
    • F24F5/00Air-conditioning systems or apparatus not covered by F24F1/00 or F24F3/00, e.g. using solar heat or combined with household units such as an oven or water heater
    • F24F5/0089Systems using radiation from walls or panels
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F24HEATING; RANGES; VENTILATING
    • F24FAIR-CONDITIONING; AIR-HUMIDIFICATION; VENTILATION; USE OF AIR CURRENTS FOR SCREENING
    • F24F1/00Room units for air-conditioning, e.g. separate or self-contained units or units receiving primary air from a central station
    • F24F1/02Self-contained room units for air-conditioning, i.e. with all apparatus for treatment installed in a common casing
    • F24F1/032Self-contained room units for air-conditioning, i.e. with all apparatus for treatment installed in a common casing characterised by heat exchangers
    • F24F1/0323Self-contained room units for air-conditioning, i.e. with all apparatus for treatment installed in a common casing characterised by heat exchangers by the mounting or arrangement of the heat exchangers
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F24HEATING; RANGES; VENTILATING
    • F24FAIR-CONDITIONING; AIR-HUMIDIFICATION; VENTILATION; USE OF AIR CURRENTS FOR SCREENING
    • F24F1/00Room units for air-conditioning, e.g. separate or self-contained units or units receiving primary air from a central station
    • F24F1/02Self-contained room units for air-conditioning, i.e. with all apparatus for treatment installed in a common casing
    • F24F1/032Self-contained room units for air-conditioning, i.e. with all apparatus for treatment installed in a common casing characterised by heat exchangers
    • F24F1/0325Self-contained room units for air-conditioning, i.e. with all apparatus for treatment installed in a common casing characterised by heat exchangers by the shape of the heat exchangers or of parts thereof, e.g. of their fins
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F24HEATING; RANGES; VENTILATING
    • F24FAIR-CONDITIONING; AIR-HUMIDIFICATION; VENTILATION; USE OF AIR CURRENTS FOR SCREENING
    • F24F5/00Air-conditioning systems or apparatus not covered by F24F1/00 or F24F3/00, e.g. using solar heat or combined with household units such as an oven or water heater
    • F24F5/0042Air-conditioning systems or apparatus not covered by F24F1/00 or F24F3/00, e.g. using solar heat or combined with household units such as an oven or water heater characterised by the application of thermo-electric units or the Peltier effect

Abstract

PURPOSE:To maintain a uniform panel temperature distribution of a radiant heater/cooler by increasingly making the heat releasing area of heat releasing fins larger in the flow direction of air blown by a fan through the heat exchanging fins which are respectively provided to thermoelectric element. CONSTITUTION:Heat exchanging fins 7-1, 7-2, 7-3, 7-4 are fixedly attached from the suction outlet 11 of a first cross-flow fan 8 via a panel 5b toward the heat exchanging air outlet 14 relative to a thermoelectric element 6. The widths L1, L2, L3, L4 of the heat exchanging fins 7-1, 7-2, 7-3, 7-4 are in the order of L1<L2<L3<L4 from the first cross-flow fan toward the heat exchanging air outlet 14. Since the width of the heat exchanging fins 7-1, 7-2, 7-3, 7-4 lined in the direction of air flow are made increasingly larger from the first cross-flow fan 8 toward the heat exchanging air outlet 14 in this constitution so as to enlarge the generating surface of the heat exchanging fins, the fin performance becomes uniform. Since the panel temperature thus becomes uniform, the difference caused by different body heights or sitting locations can be eliminated.

Description

【発明の詳細な説明】 (産業上の利用分野) 本発明は、空調機器およびオフィス家具の分野に使用さ
れる輻射式冷暖房機に関するものである。
DETAILED DESCRIPTION OF THE INVENTION (Field of Industrial Application) The present invention relates to a radiant air conditioner used in the field of air conditioners and office furniture.

(従来の技術) 従来の輻射式冷暖房機としては9本発明者が第6図、第
7図に示すものを提案している。第6図、第7図におい
て図中1は間仕切り板であり、この間仕切り板1は上端
を開放したフレーム2と、このフレーム1の前面と後面
を閉じるフロントパネル3とリアパネル4とからなって
いる。フロントパネル3の一部1例えば上側半分は切欠
き穴となっており、この切欠き穴部に輻射吸放熱部5が
取付けられている。この輻射吸放熱部5は、アルミ板等
熱伝導率の高い材料にて構成された2枚のパネル5a、
5bと、この両パネル5a、5bの間に貼付けて配設し
た多数個の熱電素子6と、裏側のパネル5bの外面に取
付けられた熱交換フィン7とからなっており2表側のパ
ネル5aが間仕切り板1の表側に向けられ、また裏側の
熱交換フィン7は間仕切り板1内に収納されて取付けら
れている。そしてこの熱交換フィン7は間仕切り板1内
を上下方向に流れる風によって熱交換するもので。
(Prior Art) As a conventional radiant air conditioner, nine of the present inventors have proposed those shown in FIGS. 6 and 7. 6 and 7, reference numeral 1 in the figure is a partition plate, and this partition plate 1 consists of a frame 2 with an open upper end, and a front panel 3 and a rear panel 4 that close the front and rear surfaces of this frame 1. . A part 1 of the front panel 3, for example, the upper half, has a cutout hole, and a radiation heat absorption/dissipation part 5 is attached to this cutout hole. This radiation heat absorption/dissipation section 5 includes two panels 5a made of a material with high thermal conductivity such as an aluminum plate,
5b, a large number of thermoelectric elements 6 pasted and arranged between both panels 5a, 5b, and heat exchange fins 7 attached to the outer surface of the back panel 5b. Heat exchange fins 7 facing the front side of the partition plate 1 and on the back side are housed and attached within the partition plate 1. The heat exchange fins 7 exchange heat by the wind flowing vertically inside the partition plate 1.

各フィンにおける風の流通路が上下方向に向けられてい
る。
The air flow path in each fin is oriented in the vertical direction.

上記輻射冷暖房板5の下方には第1クロスフローフアン
8と、第2クロスフローフアン9とが上下方向に位置を
ずらせて間仕切り板l内に取付けである。上記第2クロ
スフローフアン9の送風力は弱くなっていて、微風を吹
出すようになっている。
Below the radiation cooling/heating plate 5, a first cross flow fan 8 and a second cross flow fan 9 are mounted inside the partition plate l with vertically shifted positions. The blowing force of the second cross flow fan 9 is weakened so that a slight breeze is blown out.

上記第1クロスフローフアン8の吸入口10は間仕切り
板1のリアパネル4に開口してあり。
The suction port 10 of the first cross flow fan 8 is opened in the rear panel 4 of the partition plate 1.

またこれの吹出し口11は間仕切り板1内の上方へ向け
て設けである。一方策2クロスフローファン9の吸入口
12と吹出し口13は共にフロントパネル3に、吸入口
12が上側で、吹出し口13が下側となるように上下に
位置をずらせて開口しである0間仕切り板1の上端には
熱交換風出口14が開口してあり、上記第1クロスフロ
ーフアン8の吹出し口11よりの風が輻射冷暖房板5の
熱交換フィン7の間を通ってここから吹き出されるよう
になっている。15は間仕切り板1の下部に内装された
コントローラで、このコントローラ15にて上記第1.
第2クロスフローファン8,9のON、OFFと熱電素
子6への通電のON、OFF及び通電方向の正逆、さら
にその強弱をコントロールするようになっている。
Further, the air outlet 11 is provided upwardly within the partition plate 1. On the other hand, the inlet 12 and the outlet 13 of the cross flow fan 9 are both opened in the front panel 3, with their positions shifted vertically so that the inlet 12 is on the upper side and the outlet 13 is on the lower side. A heat exchange air outlet 14 is opened at the upper end of the partition plate 1, and the air from the air outlet 11 of the first cross flow fan 8 passes between the heat exchange fins 7 of the radiation cooling/heating plate 5 and is blown out from here. It is now possible to do so. 15 is a controller installed in the lower part of the partition plate 1, and this controller 15 controls the above-mentioned first.
The ON/OFF state of the second cross flow fans 8, 9, the ON/OFF state of energization to the thermoelectric element 6, the forward/reverse direction of energization, and the intensity thereof are controlled.

(発明が解決しようとする課題) 従って、複数個の熱電素子すべてに同じ大きさの熱交換
フィン(第6図寸法LXHXB)を設置すると、送風の
流れ方向にならぶ熱電素子輻射側のパネル5の温度分布
が第8図のごとく不均一となる。
(Problem to be Solved by the Invention) Therefore, if heat exchange fins of the same size (dimensions LXHXB in Fig. 6) are installed on all the plurality of thermoelectric elements, the panels 5 on the thermoelectric element radiation side aligned in the direction of air flow The temperature distribution becomes non-uniform as shown in FIG.

これは送風が送風ファン側(空気入口側)の熱交換フィ
ンから熱をうばい、温まった送風で次の熱交換フィンと
熱交換を行なうため空気出口側に向かうに連れて性能が
悪くなりパネルの温度が下がらなくなるためである。こ
の温度のムラによりパネルの前の位置により輻射効果の
差が生じ、身長の違いや人間の座る場所により温度が異
なるという欠点がある。
This is because the air blows away heat from the heat exchange fins on the fan side (air inlet side), and the heated air exchanges heat with the next heat exchange fin, so the performance deteriorates as it moves toward the air outlet side, causing the panel to This is because the temperature no longer drops. This temperature unevenness causes differences in the radiation effect depending on the position in front of the panel, and there is a drawback that the temperature varies depending on the height of the person and where the person is sitting.

本発明は上記問題に鑑みたもので、輻射式冷暖房機のパ
ネルの温度分布をほぼ一定に保つことを目的としている
The present invention has been made in view of the above-mentioned problems, and an object of the present invention is to maintain a substantially constant temperature distribution in a panel of a radiant air conditioner.

(課題を解決するための手段および作用)そのために本
発明では、パネルの裏側に複数個の熱電素子を取り付け
、かつ熱電素子の熱を熱交換する熱交換フィンを設けた
輻射吸放熱部を、パネルを間仕切り板の表側に、熱交換
フィンを間仕切り板の内側に位置させて取付け、熱交換
フィンをファンで送風することによりパネルに吸放熱作
用を行なわせる輻射式冷暖房機において、パネルの温度
分布をほぼ均一にするため熱電素子ごとに設けられた熱
交換フィンを流れるファンの送風の流れ方向に従って熱
交換フィンの伝熱面積を漸次大きくしていく構成として
いる。
(Means and Effects for Solving the Problems) For this purpose, the present invention provides a radiation heat absorbing/dissipating section in which a plurality of thermoelectric elements are attached to the back side of the panel and heat exchange fins are provided to exchange heat from the thermoelectric elements. In a radiant air conditioner, the panel is installed on the front side of the partition plate and the heat exchange fins are placed inside the partition plate, and the heat exchange fins are blown by a fan to cause the panel to absorb and release heat.The temperature distribution of the panel is In order to make the temperature almost uniform, the heat transfer area of the heat exchange fins is gradually increased according to the flow direction of the fan air flowing through the heat exchange fins provided for each thermoelectric element.

このため熱交換フィンの幅、高さ、又は枚数をファン側
(・空気入口側)よりも放熱出口側で広(している。
For this reason, the width, height, or number of heat exchange fins are made wider on the heat radiation outlet side than on the fan side (air inlet side).

従って熱交換フィンを流れる送風が漸次温まっても伝熱
面積を大きくしているためほぼ均一の熱交換を行なうこ
とが出来るので、パネルの温度分布をほぼ均一にできる
Therefore, even if the air flowing through the heat exchange fins gradually warms up, since the heat transfer area is enlarged, substantially uniform heat exchange can be performed, and the temperature distribution of the panel can be made substantially uniform.

(実施例) 以下本発明を図に示す実施例について説明する。(Example) The present invention will be described below with reference to embodiments shown in the drawings.

第1図は本発明の第1実施例を示す縦断側面図である。FIG. 1 is a longitudinal sectional side view showing a first embodiment of the present invention.

第2図は本発明の第1実施例を示す熱交換フィンの正面
図である。なおこの実施例において上記従来例と同一構
成部材は同一記号を付して説明を省略する。
FIG. 2 is a front view of a heat exchange fin showing a first embodiment of the present invention. Incidentally, in this embodiment, the same constituent members as those of the above-mentioned conventional example are given the same symbols, and the explanation thereof will be omitted.

第1クロスフローフアン8の吸出し口11より熱交換風
出口14に向けて熱電素子6に対応し、各熱交換フィン
1−+、1−t、1−s、1−aがパネル5bを介し、
固設されている。
Each heat exchange fin 1-+, 1-t, 1-s, 1-a is connected from the suction port 11 of the first cross flow fan 8 toward the heat exchange air outlet 14 through the panel 5b, corresponding to the thermoelectric element 6. ,
It is permanently installed.

各熱交換フィン1−+、7−z、7−3.7−の幅り、
、Lt、L、、L、は第1クロスフローフアンから熱交
換風出口14に向けて漸次Ll <t、、<Lm<Lm
の幅となっている。
The width of each heat exchange fin 1-+, 7-z, 7-3.7-,
, Lt, L, ,L gradually become Ll<t, ,<Lm<Lm from the first crossflow fan toward the heat exchange air outlet 14.
The width is .

上記構成において送風の流れ方向にならぶ各熱交換フィ
ン1−+、7−g、7−*、1−aを第1クロスフロー
フアン8から熱交換風出口14に向かうに連れて幅を広
<シ、熱交換フィンの伝熱面積を大きくしているからフ
ィンの性能が均一になるため、第3図に示すごとくパネ
ルの温度もほぼ均一にすることが出来る。
In the above configuration, each of the heat exchange fins 1-+, 7-g, 7-*, and 1-a arranged in the flow direction of the air is made wider as it goes from the first cross flow fan 8 toward the heat exchange air outlet 14. Since the heat transfer area of the heat exchange fins is increased, the performance of the fins becomes uniform, so the temperature of the panel can be made almost uniform as shown in FIG.

次に第4図(イ)、(ロ)に示す第2実施例について説
明する。熱交換フィン1−+、1−z、?−3゜7−4
の幅りは同じにし高さH1H□Hs、Haを漸次H+ 
< Hz < Hs < Haと高(して行くものであ
る。
Next, a second embodiment shown in FIGS. 4(a) and 4(b) will be described. Heat exchange fins 1-+, 1-z, ? -3゜7-4
The width is the same and the height H1H□Hs, Ha is gradually increased to H+
< Hz < Hs < Ha.

次に第5図に示す第3実施例について説明する。熱交換
フィンの枚数を変え、ファン側から枚IPIn t +
  n !+  n 3+  n 4を漸次n 1 <
 n t < n s<n4と多くして行くものである
Next, a third embodiment shown in FIG. 5 will be described. Change the number of heat exchange fins and insert them from the fan side.
n! + n 3 + n 4 gradually n 1 <
The number is increased as n t < n s < n4.

次に第6図に示す第4実施例について説明す □る。熱
交換フィン1−+、7−*、7−s、1−aを千鳥状に
配列し、各個毎に仕切壁16を取り付けることにより各
熱交換フィン7−t、  7−t、  7−s−7−4
にフレッシュな均一の風量の冷却風が流れるようにし輻
射板面温度を均一にする。
Next, a fourth embodiment shown in FIG. 6 will be described. By arranging the heat exchange fins 1-+, 7-*, 7-s, and 1-a in a staggered manner, and attaching a partition wall 16 to each heat exchange fin 7-t, 7-t, and 7-s. -7-4
A uniform amount of fresh cooling air flows through the radiator, making the temperature of the radiant plate surface uniform.

なお上記実施例にとられれることなく熱交換フィンの幅
(B)を変えても良く、父上起倒を組み合わせても良い
Note that the width (B) of the heat exchange fins may be changed without being limited to the above embodiment, and raising and lowering may be combined.

又伝熱面積を漸次大きくして行くとき1例えば幅をt、
、< t、、< 1.、< LmとしたがL + = 
L t <L s = L aのごとくに、変更しても
良いことはいうまでもない。
Also, when gradually increasing the heat transfer area 1, for example, the width is t,
,<t,,<1. , < Lm, but L + =
Needless to say, it may be changed such that L t <L s = La.

(発明の効果) 以上述べたように本発明では、輻射式冷暖房機の熱交換
フィンの伝熱面積を送風の流れ方向に従がい変更するこ
とにより、パネルの温度を均一に出来るため、身長の違
いや座る場所により差をなくすことが出来て、より快適
なワークステーションの環境を作ることが出来るという
優れた効果が得られる。
(Effects of the Invention) As described above, in the present invention, by changing the heat transfer area of the heat exchange fins of the radiant air conditioner according to the flow direction of the air, the temperature of the panel can be made uniform. This has the excellent effect of eliminating differences depending on where you sit and creating a more comfortable workstation environment.

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

第1図は本発明の第1実施例を示す縦断側面図、第2図
は本発明の第1実施例を示す熱交換フィンの平面図、第
3図は本発明のパネルの表面の温度分布を示す1つの実
施図、第4図(イ)(ロ)、第5回、第6図は本発明の
他の実施例を示す熱交換フィンの平面図、第7図は従来
の実施例を示す斜視図、第8図は従来の実施例を示す縦
断側面図、第9図は従来の実施例のときのパネルの温度
分布を示す図。 l・・・間仕切り板    5・・・輻射冷暖房板5a
、5b・・・パネル  6・・・熱電素子? 、 Lt
、 1−t、 7−s、1−a・・・熱交換フィン8・
・・第1クロスフローフアン 11・・・吹出し口     14・・・熱交換風出口
特許出願人 株式会社小松製作所 代理人 (弁理士)岡 1)和 喜 第1図 第2図 第3図 第5図 ト   ト    ト  ト 第7図 第8図
FIG. 1 is a longitudinal sectional side view showing the first embodiment of the present invention, FIG. 2 is a plan view of a heat exchange fin showing the first embodiment of the present invention, and FIG. 3 is the temperature distribution on the surface of the panel of the present invention. 4(a), 5th and 6 are plan views of heat exchange fins showing other embodiments of the present invention, and FIG. 7 is a plan view of a conventional embodiment. 8 is a longitudinal sectional side view showing a conventional embodiment, and FIG. 9 is a diagram showing the temperature distribution of the panel in the conventional embodiment. l... Partition plate 5... Radiation heating and cooling board 5a
, 5b... Panel 6... Thermoelectric element? , Lt.
, 1-t, 7-s, 1-a... heat exchange fin 8.
...First cross flow fan 11...Air outlet 14...Heat exchange air outlet Patent applicant Komatsu Ltd. Representative (patent attorney) Oka 1) Kazuyoshi Figure 1 Figure 2 Figure 3 Figure 5 Figure 7 Figure 8

Claims (1)

【特許請求の範囲】 1、パネルの裏側に複数個の熱電素子を取り付け、かつ
熱電素子のもう一方の側に熱交換フィンを設けた輻射吸
放熱部を、パネルを間仕切り板の表側に、熱交換フィン
を間仕切り板の内側に位置させて取付け、熱交換フィン
にファンで送風することによりパネルに吸放熱作用を行
なわせる輻射式冷暖房機において、パネルの温度分布を
ほぼ均一にするため熱電素子ごとに設けられた熱交換フ
ィンを流れるファンの送風の流れ方向に従って、放熱フ
ィンの放熱面積を漸次大きくしていくことを特徴とする
輻射冷暖房機の温度制御方法。 2、パネルの裏側に取りつけた複数個の熱電素子と、熱
電素子の熱を交換する熱交換フィンと、熱交換フィンを
冷却する送風ファンと、を有して熱交換フィンと送風フ
ァンを間仕切り板の内側に設けた輻射冷暖房機において
、熱交換フィンの幅、高さ、又は枚数をファン側(空気
入口側)よりも空気出口側で大きくしたことを特徴とす
る輻射冷暖房機の温度制御装置。
[Claims] 1. A radiant heat absorbing/dissipating section in which a plurality of thermoelectric elements are attached to the back side of the panel and heat exchange fins are provided on the other side of the thermoelectric element, and the panel is attached to the front side of the partition plate. In radiant air conditioners, in which exchange fins are installed inside the partition plate and a fan blows air through the heat exchange fins to cause the panel to absorb and dissipate heat, each thermoelectric element is 1. A temperature control method for a radiation cooling/heating machine, characterized in that the heat radiation area of a radiation fin is gradually increased according to the flow direction of air from a fan flowing through heat exchange fins provided in the radiant air conditioner. 2. A partition plate that has multiple thermoelectric elements attached to the back side of the panel, heat exchange fins that exchange heat from the thermoelectric elements, and a blower fan that cools the heat exchange fins, and that separates the heat exchange fins and the blower fan. A temperature control device for a radiant air-conditioning/heating machine, characterized in that the width, height, or number of heat exchange fins is larger on the air outlet side than on the fan side (air inlet side) in the radiant air-conditioning/heating machine installed inside the radiant air-conditioning/cooling machine.
JP63007209A 1988-01-14 1988-01-14 Radiant cooling / heating machine temperature control method and control device Expired - Lifetime JPH0749867B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP63007209A JPH0749867B2 (en) 1988-01-14 1988-01-14 Radiant cooling / heating machine temperature control method and control device

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP63007209A JPH0749867B2 (en) 1988-01-14 1988-01-14 Radiant cooling / heating machine temperature control method and control device

Publications (2)

Publication Number Publication Date
JPH01184340A true JPH01184340A (en) 1989-07-24
JPH0749867B2 JPH0749867B2 (en) 1995-05-31

Family

ID=11659615

Family Applications (1)

Application Number Title Priority Date Filing Date
JP63007209A Expired - Lifetime JPH0749867B2 (en) 1988-01-14 1988-01-14 Radiant cooling / heating machine temperature control method and control device

Country Status (1)

Country Link
JP (1) JPH0749867B2 (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2010187811A (en) * 2009-02-17 2010-09-02 Hitachi Medical Corp X-ray ct apparatus

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2010187811A (en) * 2009-02-17 2010-09-02 Hitachi Medical Corp X-ray ct apparatus

Also Published As

Publication number Publication date
JPH0749867B2 (en) 1995-05-31

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