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161
GATE Civil 2023 Set 2 | Question: 31
In the given figure, Point $\mathrm{O}$ indicates the stress point of a soil element at initial non-hydrostatic stress condition. For the stress path $\text{(OP),}$ which of the following loading conditions is correct? $\sigma_v$ is ... $\sigma_v$ is increasing and $\sigma_h$ is decreasing $\sigma_v$ is decreasing and $\sigma_h$ is increasing
In the given figure, Point $\mathrm{O}$ indicates the stress point of a soil element at initial non-hydrostatic stress condition. For the stress path $\text{(OP),}$ which...
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162
GATE Civil 2023 Set 2 | Question: 32
The figure shows a vertical retaining wall with backfill consisting of cohesive-frictional soil and a failure plane developed due to passive earth pressure. The forces acting on the failure wedge are: $P$ as the reaction force between the wall ... that there is no adhesion between the wall and the wedge, identify the most appropriate force polygon for the wedge.
The figure shows a vertical retaining wall with backfill consisting of cohesive-frictional soil and a failure plane developed due to passive earth pressure. The forces ac...
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163
GATE Civil 2023 Set 2 | Question: 33
A compound symmetrical open channel section as shown in the figure has a maximum of ______________ critical depth(s). $3$ $2$ $1$ $4$
A compound symmetrical open channel section as shown in the figure has a maximum of ______________ critical depth(s).$3$$2$$1$$4$
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164
GATE Civil 2023 Set 2 | Question: 34
The critical flow condition in a channel is given by ____________. [Note: $\alpha$ - kinetic energy correction factor; $Q$ - discharge; $A_c$ - cross-sectional area of flow at critical flow condition; $T_c$ - top width of flow at critical flow condition; $g$ - acceleration due ... $\frac{\alpha Q^2}{g}=\frac{A_c^3}{T_c^2}$ $\frac{\alpha Q}{g}=\frac{A_c^3}{T_c}$
The critical flow condition in a channel is given by ____________.[Note: $\alpha$ - kinetic energy correction factor; $Q$ - discharge; $A_c$ - cross-sectional area of flo...
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165
GATE Civil 2023 Set 2 | Question: 35
Match the following air pollutants with the most appropriate adverse health effects: ...
Match the following air pollutants with the most appropriate adverse health effects:$$\begin{array}{|l|l|}\hline \textbf{Air pollutant} & \textbf{Health effect to human a...
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166
GATE Civil 2023 Set 2 | Question: 36
A delivery agent is at a location $\mathrm{R}$. To deliver the order, she is instructed to travel to location P along straight-line paths of $\mathrm{RC}, \mathrm{CA}, \mathrm{AB}$ and $\mathrm{BP}$ of $5 \mathrm{~km}$ each. The direction of each path is given in the ... $\mathrm{L}=5.0 ; \mathrm{D}=2.5$ $\mathrm{L}=0.0 ; \mathrm{D}=0.0$
A delivery agent is at a location $\mathrm{R}$. To deliver the order, she is instructed to travel to location P along straight-line paths of $\mathrm{RC}, \mathrm{CA}, \m...
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167
GATE Civil 2023 Set 2 | Question: 37
Which of the following statements is/are TRUE? The thickness of a turbulent boundary layer on a flat plate kept parallel to the flow direction is proportional to the square root of the distance from the leading edge If the streamlines ... it For flow through circular pipes, the momentum correction factor for laminar flow is larger than that for turbulent flow
Which of the following statements is/are TRUE?The thickness of a turbulent boundary layer on a flat plate kept parallel to the flow direction is proportional to the squar...
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168
GATE Civil 2023 Set 2 | Question: 38
In the context of water and wastewater treatments, the correct statements are: particulate matter may shield microorganisms during disinfection ammonia decreases chlorine demand phosphorous stimulates algal and aquatic growth calcium and magnesium increase hardness and total dissolved solids
In the context of water and wastewater treatments, the correct statements are:particulate matter may shield microorganisms during disinfectionammonia decreases chlorine d...
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169
GATE Civil 2023 Set 2 | Question: 39
Which of the following statements is/are TRUE for the aerobic composting of sewage sludge? Bulking agent is added during the composting process to reduce the porosity of the solid mixture Leachate can be generated during composting Actinomycetes are involved in the process In-vessel composting systems cannot be operated in the plug-flow mode
Which of the following statements is/are TRUE for the aerobic composting of sewage sludge?Bulking agent is added during the composting process to reduce the porosity of t...
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170
GATE Civil 2023 Set 2 | Question: 40
The figure presents the time-space diagram for when the traffic on a highway is suddenly stopped for a certain time and then released. Which of the following statements are true? Speed is higher in Region $\mathrm{R}$ than in Region $\mathrm{P}$ Volume is ... $\mathrm{P}$ Density is higher in Region $\mathrm{Q}$ than in Region $\mathrm{R}$
The figure presents the time-space diagram for when the traffic on a highway is suddenly stopped for a certain time and then released. Which of the following statements a...
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171
GATE Civil 2023 Set 2 | Question: 41
Consider the Marshall method of mix design for bituminous mix. With the increase in bitumen content, which of the following statements is/are TRUE? the Stability decreases initially and then increases the Flow increases monotonically the air voids $(V A)$ increases initially and then decreases the voids filled with bitumen $(V F B)$ increases monotonically
Consider the Marshall method of mix design for bituminous mix. With the increase in bitumen content, which of the following statements is/are TRUE?the Stability decreases...
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172
GATE Civil 2023 Set 2 | Question: 42
A $5 \mathrm{~cm}$ long metal rod $\mathrm{AB}$ was initially at a uniform temperature of $T_0{ }^{\circ} \mathrm{C}$. Thereafter, temperature at both the ends are maintained at $0{ }^{\circ} \mathrm{C}$. Neglecting the heat transfer from the ... $\beta$ (in $\mathrm{s}^{-1}$, rounded off to three decimal places) is__________________.
A $5 \mathrm{~cm}$ long metal rod $\mathrm{AB}$ was initially at a uniform temperature of $T_0{ }^{\circ} \mathrm{C}$. Thereafter, temperature at both the ends are mainta...
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173
GATE Civil 2023 Set 2 | Question: 43
A beam is subjected to a system of coplanar forces as shown in the figure. The magnitude of vertical reaction at Support $\text{P}$ is ______________________ $\text{N}$ (round off to one decimal place).
A beam is subjected to a system of coplanar forces as shown in the figure. The magnitude of vertical reaction at Support $\text{P}$ is ______________________ $\text{N}$ (...
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174
GATE Civil 2023 Set 2 | Question: 44
For the frame shown in the figure (not to scale), all members $\mathrm{(AB, BC, CD, GB,}$ and $\mathrm{CH}$) have the same length, $L$ and flexural rigidity, $E I$. The joints at $\mathrm{B}$ and $\mathrm{C}$ are rigid joints, and ... magnitude of the moment reaction at $\mathrm{A}$ is $w L^2 / k$. What is the value of $k$ (in integer)? ______________________
For the frame shown in the figure (not to scale), all members $\mathrm{(AB, BC, CD, GB,}$ and $\mathrm{CH}$) have the same length, $L$ and flexural rigidity, $E I$. The j...
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175
GATE Civil 2023 Set 2 | Question: 45
Consider the singly reinforced section of a cantilever concrete beam under bending, as shown in the figure $(M25$ grade concrete, $Fe415$ grade steel). The stress block parameters for the section at ultimate limit state, as per $IS \; 456: 2000$ ... cube strength of concrete, $f_y$ is the yield stress of steel, and $x_u$ is the depth of neutral axis.]
Consider the singly reinforced section of a cantilever concrete beam under bending, as shown in the figure $(M25$ grade concrete, $Fe415$ grade steel). The stress block p...
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176
GATE Civil 2023 Set 2 | Question: 46
A $2\text{D}$ thin plate with modulus of elasticity, $E=1.0 \mathrm{~N} / \mathrm{m}^{2}$, and Poisson's ratio, $\mu=0.5$, is in plane stress condition. The displacement field in the plate is given by $u=C x^{2} y$ and $v=0$ ... $\alpha$ (in $\mathrm{N} / \mathrm{m}^{4}$, in integer)?________________
A $2\text{D}$ thin plate with modulus of elasticity, $E=1.0 \mathrm{~N} / \mathrm{m}^{2}$, and Poisson's ratio, $\mu=0.5$, is in plane stress condition. The displacement ...
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177
GATE Civil 2023 Set 2 | Question: 47
An idealised frame supports a load as shown in the figure. The horizontal component of the force transferred from the horizontal member $\mathrm{PQ}$ to the vertical member $\mathrm{RS}$ at $\mathrm{P}$ is ____________ (round off to one decimal place).
An idealised frame supports a load as shown in the figure. The horizontal component of the force transferred from the horizontal member $\mathrm{PQ}$ to the vertical memb...
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178
GATE Civil 2023 Set 2 | Question: 48
A square footing is to be designed to carry a column load of $500~ \mathrm{kN}$ which is resting on a soil stratum having the following average properties: bulk unit weight $=19 ~\mathrm{kN} / \mathrm{m}^3$; angle of internal ... (round off to one decimal place) [Assume the applicable shape and depth factor values as unity; ground water level at greater depth.]
A square footing is to be designed to carry a column load of $500~ \mathrm{kN}$ which is resting on a soil stratum having the following average properties: bulk unit weig...
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179
GATE Civil 2023 Set 2 | Question: 49
A circular pile of diameter $0.6 \mathrm{~m}$ and length $8 \mathrm{~m}$ was constructed in a cohesive soil stratum having the following properties: bulk unit weight $=19~ \mathrm{kN} / \mathrm{m}^{3}$; angle of internal friction $=0^{\circ}$ ... (round off to one decimal place). [Adopt: Adhesion factor, $\alpha=1.0$ and Bearing capacity factor, $N_{c}=9.0$ ]
A circular pile of diameter $0.6 \mathrm{~m}$ and length $8 \mathrm{~m}$ was constructed in a cohesive soil stratum having the following properties: bulk unit weight $=19...
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180
GATE Civil 2023 Set 2 | Question: 50
For the flow setup shown in the figure (not to scale), the hydraulic conductivities of the two soil samples, Soil $1$ and Soil $2,$ are $10 \mathrm{~mm} / \mathrm{s}$ and $1 \mathrm{~mm} / \mathrm{s}$, respectively. Assume ... total head (in $\mathrm{m}$, rounded off to two decimal places) at any point located at the junction of the two samples? _____________
For the flow setup shown in the figure (not to scale), the hydraulic conductivities of the two soil samples, Soil $1$ and Soil $2,$ are $10 \mathrm{~mm} / \mathrm{s}$ and...
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181
GATE Civil 2023 Set 2 | Question: 51
A consolidated drained $\text{(CD)}$ triaxial test was carried out on a sand sample with the known effective shear strength parameters, $c^{\prime}=0$ and $\phi^{\prime}=30^{\circ}$. In the test, prior to the failure, when the sample ... is applied in either of the tests, what is the deviatoric stress (in $\mathrm{kPa}$, in integer) at the failure?___________
A consolidated drained $\text{(CD)}$ triaxial test was carried out on a sand sample with the known effective shear strength parameters, $c^{\prime}=0$ and $\phi^{\prime}=...
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182
GATE Civil 2023 Set 2 | Question: 52
A catchment may be idealized as a circle of radius $30 \mathrm{~km}$. There are five rain gauges, one at the center of the catchment and four on the boundary (equi-spaced), as shown in the figure (not to scale). The annual rainfall ... , what is the average rainfall (in $\text{mm,}$ rounded off to two decimal places) over the catchment in that year?___________
A catchment may be idealized as a circle of radius $30 \mathrm{~km}$. There are five rain gauges, one at the center of the catchment and four on the boundary (equi-spaced...
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183
GATE Civil 2023 Set 2 | Question: 53
The cross-section of a small river is sub-divided into seven segments of width $1.5 \mathrm{~m}$ each. The average depth, and velocity at different depths were measured during a field campaign at the middle of each segment width. The discharge computed by the velocity area ...
The cross-section of a small river is sub-divided into seven segments of width $1.5 \mathrm{~m}$ each. The average depth, and velocity at different depths were measured d...
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184
GATE Civil 2023 Set 2 | Question: 54
The theoretical aerobic oxidation of biomass $\left(\mathrm{C}_5 \mathrm{H}_7 \mathrm{O}_2 \mathrm{~N}\right)$ ... $14 \mathrm{~g} / \mathrm{mol}$, respectively]
The theoretical aerobic oxidation of biomass $\left(\mathrm{C}_5 \mathrm{H}_7 \mathrm{O}_2 \mathrm{~N}\right)$ is given below:$\mathrm{C}_5 \mathrm{H}_7 \mathrm{O}_2 \mat...
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185
GATE Civil 2023 Set 2 | Question: 55
A system of seven river segments is shown in the schematic diagram. The $\mathrm{R}_{\mathrm{i}}$ 's, $\mathrm{Q}_{\mathrm{i}}$ 's, and $\mathrm{C}_{\mathrm{i}}$ 's $(\mathrm{i}=1$ to 7) are the river ... concentration (in $\mathrm{kg} / \mathrm{m}^3$, rounded off to two decimal place) of the pollutant in the river segment $7?$ ___________
A system of seven river segments is shown in the schematic diagram. The $\mathrm{R}_{\mathrm{i}}$ 's, $\mathrm{Q}_{\mathrm{i}}$ 's, and $\mathrm{C}_{\mathrm{i}}$ 's $(\ma...
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186
GATE Civil 2023 Set 1 | Question: 1
For the integral $I=\int_{-1}^{1} \frac{1}{x^{2}} d x$ which of the following statements is $\text{TRUE?}$ $I=0$ $I=2$ $I=-2$ The integral does not converge
For the integral$$I=\int_{-1}^{1} \frac{1}{x^{2}} d x$$which of the following statements is $\text{TRUE?}$ $I=0$ $I=2$$I=-2$ The integral does not converge
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187
GATE Civil 2023 Set 1 | Question: 2
A hanger is made of two bars of different sizes. Each bar has a square cross-section. The hanger is loaded by three-point loads in the mid vertical plane as shown in the figure. Ignore the self-weight of the hanger. What is the maximum tensile stress ... $15.0$ $25.0$ $35.0$ $45.0$
A hanger is made of two bars of different sizes. Each bar has a square cross-section. The hanger is loaded by three-point loads in the mid vertical plane as shown in the ...
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188
GATE Civil 2023 Set 1 | Question: 3
Creep of concrete under compression is defined as the _________. increase in the magnitude of strain under constant stress increase in the magnitude of stress under constant strain decrease in the magnitude of strain under constant stress decrease in the magnitude of stress under constant strain
Creep of concrete under compression is defined as the _________. increase in the magnitude of strain under constant stress increase in the magnitude of stress under const...
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189
GATE Civil 2023 Set 1 | Question: 4
A singly reinforced concrete beam of balanced section is made of $\text{M20}$ grade concrete and $\text{Fe 415}$ ... $0.0038 $ $0.0020$ and $0.0018$ $0.0035$ and $0.0041$ $0.0020$ and $0.0031$
A singly reinforced concrete beam of balanced section is made of $\text{M20}$ grade concrete and $\text{Fe 415}$ grade steel bars. The magnitudes of the maximum compressi...
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190
GATE Civil 2023 Set 1 | Question: 5
In cement concrete mix design, with the increase in water-cement ratio, which one of the following statements is TRUE? Compressive strength decreases but workability increases Compressive strength increases but workability decreases Both compressive strength and workability decrease Both compressive strength and workability increase
In cement concrete mix design, with the increase in water-cement ratio, which one of the following statements is TRUE? Compressive strength decreases but workability incr...
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191
GATE Civil 2023 Set 1 | Question: 6
The specific gravity of a soil is $2.60$. The soil is at $50 \%$ degree of saturation with water content of $15 \%$. The void ratio of the soil is _______. 0.35 0.78 0.87 1.28
The specific gravity of a soil is $2.60$. The soil is at $50 \%$ degree of saturation with water content of $15 \%$. The void ratio of the soil is _______.0.350.780.871.2...
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192
GATE Civil 2023 Set 1 | Question: 7
A group of $9$ friction piles are arranged in a square grid maintaining equal spacing in all directions. Each pile is of diameter $300 \mathrm{~mm}$ and length $7 \mathrm{~m} $ ... $ 60 \%$? $0.582$ $0.486$ $0.391$ $ 0.677$
A group of $9$ friction piles are arranged in a square grid maintaining equal spacing in all directions. Each pile is of diameter $300 \mathrm{~mm}$ and length $7 \mathrm...
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GATE Civil 2023 Set 1 | Question: 8
A possible slope failure is shown in the figure. Three soil samples are taken from different locations $\text{(I, II}$ and $\text{III)}$ of the potential failure plane. Which is the most appropriate shear strength test for each of the sample to identify the failure mechanism? Identify the ... $\text{I-S, II-Q, III-R}$ $\text{I-P, II-R, III-Q}$
A possible slope failure is shown in the figure. Three soil samples are taken from different locations $\text{(I, II}$ and $\text{III)}$ of the potential failure plane. W...
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194
GATE Civil 2023 Set 1 | Question: 9
When a supercritical stream enters a mild-sloped $(\mathrm{M})$ channel section, the type of flow profile would become _________. $\mathrm{M}_{1}$ $\mathrm{M}_{2}$ $\mathrm{M}_{3}$ $\mathrm{M}_{1}$ and $\mathrm{M}_{2}$
When a supercritical stream enters a mild-sloped $(\mathrm{M})$ channel section, the type of flow profile would become _________.$\mathrm{M}_{1}$$\mathrm{M}_{2}$ $\mathrm...
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195
GATE Civil 2023 Set 1 | Question: 10
Which one of the following statements is TRUE for Greenhouse Gas $(\mathrm{GHG})$ in the atmosphere? $\mathrm{GHG}$ absorbs the incoming short wavelength solar radiation to the earth surface, and allows the long wavelength radiation ... solar radiation to pass through to the earth surface, and absorbs the long wavelength radiation coming from the earth surface
Which one of the following statements is TRUE for Greenhouse Gas $(\mathrm{GHG})$ in the atmosphere?$\mathrm{GHG}$ absorbs the incoming short wavelength solar radiation t...
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196
GATE Civil 2023 Set 1 | Question: 11
$G_1$ and $G_2$ are the slopes of the approach and departure grades of a vertical curve, respectively. Given $\left|G_1\right|<\left|G_2\right|$ and $\left|G_1\right| \neq\left|G_2\right| \neq 0$ $\text{Statement 1:} +G_1$ ... $\text{Statement 3}$ are wrong $\text{Statement 2}$ is correct; $\text{Statement 1}$ and $\text{Statement 3}$ are wrong
$G_1$ and $G_2$ are the slopes of the approach and departure grades of a vertical curve, respectively.Given $\left|G_1\right|<\left|G_2\right|$ and $\left|G_1\right| \neq...
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197
GATE Civil 2023 Set 1 | Question: 12
The direct and reversed zenith angles observed by a theodolite are $56^{\circ} 00^{\prime} 00^{\prime \prime}$ and $303^{\circ} 00^{\prime} 00^{\prime \prime}$ ... $-0^{\circ} 30^{\prime} 00^{\prime \prime}$ $+0^{\circ} 30^{\prime} 00^{\prime \prime}$
The direct and reversed zenith angles observed by a theodolite are $56^{\circ} 00^{\prime} 00^{\prime \prime}$ and $303^{\circ} 00^{\prime} 00^{\prime \prime}$, respectiv...
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198
GATE Civil 2023 Set 1 | Question: 13
A student is scanning his $10 \text { inch } \times 10 \text { inch}$ certificate at $ 600 \text { dots per inch (dpi)}$ to convert it to raster. What is the percentage reduction in number of pixels if the same certificate is scanned at $300 \text { dpi? }$ $62$ $88$ $75$ $50$
A student is scanning his $10 \text { inch } \times 10 \text { inch}$ certificate at $ 600 \text { dots per inch (dpi)}$ to convert it to raster. What is the percentage r...
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199
GATE Civil 2023 Set 1 | Question: 14
If $\boldsymbol{M}$ is an arbitrary real $ n \times n $ matrix, then which of the following matrices will have non-negative eigenvalues? $\boldsymbol{M}^{2}$ $\boldsymbol{MM}^{T}$ $\boldsymbol{M}^{T} \boldsymbol{M}$ $\left(\boldsymbol{M}^{T}\right)^{2}$
If $\boldsymbol{M}$ is an arbitrary real $ n \times n $ matrix, then which of the following matrices will have non-negative eigenvalues?$\boldsymbol{M}^{2}$$\boldsymbol{M...
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GATE Civil 2023 Set 1 | Question: 15
The following function is defined over the interval $[-L, L]:$ $ f(x)=p x^{4}+q x^{5} .$ ... $q$ $b_{n}, n=1,2, \cdots, \infty$ depend on $p$ $b_{n}, n=1,2, \cdots, \infty$ depend on $q$
The following function is defined over the interval $[-L, L]:$ $$ f(x)=p x^{4}+q x^{5} .$$If it is expressed as a Fourier series, $$f(x)=a_{0}+\sum_{n=1}^{\infty}\left\{a...
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