K4S51163LF-YF750 [SAMSUNG]

Synchronous DRAM, 32MX16, 5.4ns, CMOS, PBGA54, FBGA-54;
K4S51163LF-YF750
型号: K4S51163LF-YF750
厂家: SAMSUNG    SAMSUNG
描述:

Synchronous DRAM, 32MX16, 5.4ns, CMOS, PBGA54, FBGA-54

动态存储器
文件: 总12页 (文件大小:108K)
中文:  中文翻译
下载:  下载PDF数据表文档文件
K4S51153LF - Y(P)C/L/F  
Mobile SDRAM  
8M x 16Bit x 4 Banks Mobile SDRAM in 54FBGA  
FEATURES  
GENERAL DESCRIPTION  
• VDD/VDDQ = 2.5V/2.5V or 2.5V/1.8V.  
• LVCMOS compatible with multiplexed address.  
• Four banks operation.  
The K4S51153LF is 536,870,912 bits synchronous high data  
rate Dynamic RAM organized as 4 x 8,388,608 words by 16 bits,  
fabricated with SAMSUNG’s high performance CMOS technol-  
ogy. Synchronous design allows precise cycle control with the  
use of system clock and I/O transactions are possible on every  
clock cycle. Range of operating frequencies, programmable  
burst lengths and programmable latencies allow the same  
device to be useful for a variety of high bandwidth and high per-  
formance memory system applications.  
• MRS cycle with address key programs.  
-. CAS latency (1, 2 & 3).  
-. Burst length (1, 2, 4, 8 & Full page).  
-. Burst type (Sequential & Interleave).  
• EMRS cycle with address key programs.  
• All inputs are sampled at the positive going edge of the system  
clock.  
• Burst read single-bit write operation.  
• Special Function Support.  
-. PASR (Partial Array Self Refresh).  
-. Internal TCSR (Temperature Compensated Self Refresh)  
• DQM for masking.  
• Auto refresh.  
• 64ms refresh period (8K cycle).  
• Commercial Temperature Operation (-25°C ~ 70°C).  
• 2 /CS Support.  
• 2Chips DDP 54Balls FBGA( -YXXX -Pb, -PXXX -Pb Free).  
ORDERING INFORMATION  
Part No.  
Max Freq.  
Interface  
Package  
K4S51163LF-Y(P)C/L/F75  
K4S51163LF-Y(P)C/L/F1H  
K4S51163LF-Y(P)C/L/F1L  
133MHz(CL3), 111MHz(CL2)  
111MHz(CL2)  
54 FBGA Pb  
(Pb Free)  
LVCMOS  
111MHz(CL=3)*1, 83MHz(CL2)  
- Y(P)C/L/F : Normal / Low Power, Commercial Temperature(-25°C ~ 70°C)  
NOTES :  
1. In case of 40MHz Frequency, CL1 can be supported.  
2. Samsung are not designed or manufactured for use in a device or system that is used under circumstance in which human life is potentially at stake.  
Please contact to the memory marketing team in samsung electronics when considering the use of a product contained herein for any specific pur  
pose, such as medical, aerospace, nuclear, military, vehicular or undersea repeater use.  
Address configuration  
Organization  
Bank  
Row  
Column Address  
32M x16  
BA0,BA1  
A0 - A12  
A0 - A8  
1
September 2004  
K4S51153LF - Y(P)C/L/F  
Mobile SDRAM  
FUNCTIONAL BLOCK DIAGRAM  
CLK, /CAS, /RAS,  
/WE, DQM, CKE  
16Mx16  
16Mx16  
/CS1  
/CS0  
DQ0~DQ15  
A0~A12, BA0, BA1  
2
September 2004  
K4S51153LF - Y(P)C/L/F  
Mobile SDRAM  
Package Dimension and Pin Configuration  
< Bottom View*1 >  
< Top View*2 >  
E1  
9
8
7
6
5
4
3
2
1
54Ball(6x9) FBGA  
A
B
C
D
E
F
1
2
3
7
8
9
A
B
C
D
E
F
VSS  
DQ15 VSSQ VDDQ DQ0  
VDD  
DQ1  
DQ3  
DQ5  
DQ14 DQ13 VDDQ VSSQ DQ2  
DQ12 DQ11 VSSQ VDDQ DQ4  
DQ10  
DQ8  
DQ9 VDDQ VSSQ DQ6  
CS1  
VSS  
CKE  
A9  
VDD LDQM DQ7  
UDQM CLK  
CAS  
BA0  
A0  
RAS  
BA1  
A1  
WE  
CS0  
A10  
VDD  
G
H
J
G
H
J
A12  
A8  
A11  
A7  
A6  
VSS  
A5  
A4  
A3  
A2  
E
E/2  
Pin Name  
CLK  
Pin Function  
System Clock  
Chip Select  
Clock Enable  
Address  
*2: Top View  
CS0 ~ 1  
CKE  
A0 ~ A12  
BA0 ~ BA1  
RAS  
A
Bank Select Address  
Row Address Strobe  
Column Address Strobe  
Write Enable  
A1  
Substrate(2Layer)  
z
b
CAS  
WE  
*1: Bottom View  
L(U)DQM  
DQ0 ~ 15  
VDD/VSS  
VDDQ/VSSQ  
Data Input/Output Mask  
Data Input/Output  
< Top View*2 >  
Power Supply/Ground  
Data Output Power/Ground  
#A1 Ball Origin Indicator  
[Unit:mm]  
Symbol  
Min  
Typ  
1.10  
0.32  
11.5  
6.40  
10.0  
6.40  
0.80  
0.50  
-
Max  
A
A1  
E
1.00  
1.20  
0.27  
0.37  
-
-
E1  
D
-
-
-
-
-
D1  
e
-
-
0.45  
-
-
b
0.55  
0.10  
z
3
September 2004  
K4S51153LF - Y(P)C/L/F  
Mobile SDRAM  
ABSOLUTE MAXIMUM RATINGS  
Parameter  
Symbol  
VIN, VOUT  
VDD, VDDQ  
TSTG  
Value  
-1.0 ~ 3.6  
-1.0 ~ 3.6  
-55 ~ +150  
1.0  
Unit  
V
Voltage on any pin relative to Vss  
Voltage on VDD supply relative to Vss  
Storage temperature  
V
°C  
W
Power dissipation  
PD  
Short circuit current  
IOS  
50  
mA  
NOTES:  
Permanent device damage may occur if ABSOLUTE MAXIMUM RATINGS are exceeded.  
Functional operation should be restricted to recommended operating condition.  
Exposure to higher than recommended voltage for extended periods of time could affect device reliability.  
DC OPERATING CONDITIONS  
Recommended operating conditions (Voltage referenced to VSS = 0V, TA = -25 to 70°C )  
Parameter  
Symbol  
Min  
Typ  
Max  
2.7  
2.7  
2.7  
Unit  
V
Note  
VDD  
2.3  
2.5  
Supply voltage  
2.3  
1.65  
2.5  
V
VDDQ  
-
-
V
1
Input logic high voltage  
Input logic low voltage  
Output logic high voltage  
Output logic low voltage  
Input leakage current  
NOTES :  
VIH  
VIL  
0.8 x VDDQ  
-0.3  
VDDQ + 0.3  
V
2
0
-
0.3  
-
V
3
VOH  
VOL  
ILI  
VDDQ -0.2  
-
V
IOH = -0.1mA  
IOL = 0.1mA  
4
-
0.2  
2
V
-2  
-
uA  
1. Samsung can support VDDQ 2.5V(in general case) and 1.8V(in specific case) for VDD 2.5V products. Please contact to the  
memory marketing team in Samsung Electronics when considering the use of VDDQ 1.8V(Min 1.65V).  
2. VIH (max) = 3.0V AC.The overshoot voltage duration is 3ns.  
3. VIL (min) = -1.0V AC. The undershoot voltage duration is 3ns.  
4. Any input 0V VIN VDDQ.  
Input leakage currents include Hi-Z output leakage for all bi-directional buffers with tri-state outputs.  
5. Dout is disabled, 0V VOUT VDDQ.  
CAPACITANCE (VDD = 2.5V, TA = 23°C, f = 1MHz, VREF =0.9V ± 50 mV)  
Pin  
Symbol  
CCLK  
CIN  
Min  
3.0  
3.0  
1.5  
3.0  
3.0  
6.0  
Max  
6.0  
Unit  
pF  
pF  
pF  
pF  
pF  
pF  
Note  
Clock  
RAS, CAS, WE, CKE  
CS  
6.0  
CIN  
3.0  
DQM  
CIN  
6.0  
Address  
CADD  
COUT  
6.0  
DQ0 ~ DQ15  
10.0  
4
September 2004  
K4S51153LF - Y(P)C/L/F  
Mobile SDRAM  
DC CHARACTERISTICS  
Recommended operating conditions (Voltage referenced to VSS = 0V, TA = -25 to 70°C)  
Version  
Parameter  
Symbol  
Test Condition  
Unit Note  
-75  
-1H  
-1L  
Burst length = 1  
tRC tRC(min)  
IO = 0 mA  
Operating Current  
(One Bank Active)  
ICC1  
70  
70  
65  
mA  
mA  
1
ICC2P CKE VIL(max), tCC = 10ns  
1.0  
1.0  
Precharge Standby Current in  
power-down mode  
ICC2PS CKE & CLK VIL(max), tCC = ∞  
CKE VIH(min), CS VIH(min), tCC = 10ns  
ICC2N  
20  
10  
Input signals are changed one time during 20ns  
Precharge Standby Current  
in non power-down mode  
mA  
mA  
CKE VIH(min), CLK VIL(max), tCC = ∞  
ICC2NS  
Input signals are stable  
ICC3P CKE VIL(max), tCC = 10ns  
8
4
Active Standby Current  
in power-down mode  
ICC3PS CKE & CLK VIL(max), tCC = ∞  
CKE VIH(min), CS VIH(min), tCC = 10ns  
ICC3N  
45  
30  
mA  
mA  
Active Standby Current  
in non power-down mode  
(One Bank Active)  
Input signals are changed one time during 20ns  
CKE VIH(min), CLK VIL(max), tCC = ∞  
ICC3NS  
Input signals are stable  
IO = 0 mA  
Operating Current  
(Burst Mode)  
Page burst  
4Banks Activated  
tCCD = 2CLKs  
ICC4  
110  
160  
100  
100  
130  
mA  
1
Refresh Current  
ICC5  
ICC6  
tRC tRC(min)  
150  
1500  
1200  
mA  
uA  
°C  
2
4
5
3
-C  
-L  
Internal TCSR  
Full Array  
1/2 of Full Array  
1/4 of Full Array  
Max 40  
900  
Max 70  
1200  
900  
Self Refresh Current  
CKE 0.2V  
-F  
uA  
6
800  
700  
800  
NOTES:  
1. Measured with outputs open.  
2. Refresh period is 64ms.  
3. Internal TCSR can be supported(In commercial Temp : Max 40°C/Max 70°C).  
4. K4S51153LF-Y(P)C**  
5. K4S51153LF-Y(P)L**  
6. K4S51153LF-Y(P)F**  
7. Unless otherwise noted, input swing IeveI is CMOS(VIH /VIL=VDDQ/VSSQ).  
5
September 2004  
K4S51153LF - Y(P)C/L/F  
Mobile SDRAM  
AC OPERATING TEST CONDITIONS(VDD = 2.5V ± 0.2V, TA = -25 to 70°C )  
Parameter  
AC input levels (Vih/Vil)  
Value  
0.9 x VDDQ / 0.2  
0.5 x VDDQ  
tr/tf = 1/1  
Unit  
V
Input timing measurement reference level  
Input rise and fall time  
V
ns  
V
Output timing measurement reference level  
Output load condition  
0.5 x VDDQ  
See Figure 2  
VDDQ  
500Ω  
Vtt=0.5 x VDDQ  
VOH (DC) = VDDQ - 0.2V, IOH = -0.1mA  
VOL (DC) = 0.2V, IOL = 0.1mA  
30pF  
Output  
50Ω  
500Ω  
Output  
Z0=50Ω  
30pF  
Figure 1. DC Output Load Circuit  
Figure 2. AC Output Load Circuit  
6
September 2004  
K4S51153LF - Y(P)C/L/F  
Mobile SDRAM  
OPERATING AC PARAMETER  
(AC operating conditions unless otherwise noted)  
Version  
Parameter  
Symbol  
Unit  
Note  
-75  
15  
18  
18  
45  
-1H  
-1L  
18  
24  
24  
60  
Row active to row active delay  
RAS to CAS delay  
tRRD(min)  
tRCD(min)  
18  
ns  
ns  
1
1
1
1
18  
Row precharge time  
tRP(min)  
18  
ns  
tRAS(min)  
50  
ns  
Row active time  
tRAS(max)  
100  
us  
Row cycle time  
tRC(min)  
63  
68  
84  
ns  
1
2
3
2
2
4
Last data in to row precharge  
Last data in to Active delay  
Last data in to new col. address delay  
Last data in to burst stop  
tRDL(min)  
2
CLK  
-
tDAL(min)  
tRDL + tRP  
tCDL(min)  
1
1
1
2
1
CLK  
CLK  
CLK  
tBDL(min)  
Col. address to col. address delay  
Number of valid output data  
Number of valid output data  
Number of valid output data  
tCCD(min)  
CAS latency=3  
CAS latency=2  
CAS latency=1  
ea  
5
0
NOTES:  
1. The minimum number of clock cycles is determined by dividing the minimum time required with clock cycle time  
and then rounding off to the next higher integer.  
2. Minimum delay is required to complete write.  
3. Minimum tRDL=2CLK and tDAL(= tRDL + tRP) is required to complete both of last data write command(tRDL) and precharge command(tRP).  
4. All parts allow every cycle column address change.  
5. In case of row precharge interrupt, auto precharge and read burst stop.  
7
September 2004  
K4S51153LF - Y(P)C/L/F  
Mobile SDRAM  
AC CHARACTERISTICS(AC operating conditions unless otherwise noted)  
-75  
-1H  
-1L  
Parameter  
Symbol  
Unit Note  
Min  
7.5  
9.0  
-
Max  
Min  
9.0  
9.0  
-
Max  
Min  
Max  
CLK cycle time  
CLK cycle time  
CLK cycle time  
CAS latency=3  
CAS latency=2  
CAS latency=1  
CAS latency=3  
CAS latency=2  
CAS latency=1  
CAS latency=3  
CAS latency=2  
CAS latency=1  
tCC  
tCC  
tCC  
tSAC  
tSAC  
tSAC  
tOH  
tOH  
tOH  
tCH  
tCL  
9.0  
12  
25  
1000  
1000  
1000  
ns  
ns  
ns  
1
1,2  
2
CLK to valid output delay  
CLK to valid output delay  
CLK to valid output delay  
Output data hold time  
Output data hold time  
Output data hold time  
CLK high pulse width  
CLK low pulse width  
Input setup time  
5.4  
7
7
7
-
7
8
-
20  
2.5  
2.5  
-
2.5  
2.5  
-
2.5  
2.5  
2.5  
3.0  
3.0  
2.5  
1.5  
1
2.5  
2.5  
2.0  
1.0  
1
3.0  
3.0  
2.5  
1.5  
1
ns  
ns  
ns  
ns  
ns  
3
3
3
3
2
tSS  
Input hold time  
tSH  
CLK to output in Low-Z  
tSLZ  
CAS latency=3  
CAS latency=2  
CAS latency=1  
5.4  
7
7
7
-
7
8
CLK to output in Hi-Z  
tSHZ  
ns  
-
20  
NOTES :  
1. Parameters depend on programmed CAS latency.  
2. If clock rising time is longer than 1ns, (tr/2-0.5)ns should be added to the parameter.  
3. Assumed input rise and fall time (tr & tf) = 1ns.  
If tr & tf is longer than 1ns, transient time compensation should be considered,  
i.e., [(tr + tf)/2-1]ns should be added to the parameter.  
8
September 2004  
K4S51153LF - Y(P)C/L/F  
Mobile SDRAM  
SIMPLIFIED TRUTH TABLE  
A12,A11,  
Note  
COMMAND  
CKEn-1 CKEn CS RAS CAS WE DQM BA0,1 A10/AP  
A9 ~ A0  
Register  
Refresh  
Mode Register Set  
Auto Refresh  
H
H
X
H
L
L
L
L
L
L
L
L
X
X
OP CODE  
X
1, 2  
3
H
Entry  
3
Self  
L
H
L
H
X
L
H
X
H
H
X
H
3
Refresh  
Exit  
L
H
H
H
X
X
X
X
X
X
3
Bank Active & Row Addr.  
V
V
Row Address  
Read &  
Column Address  
Auto Precharge Disable  
Auto Precharge Enable  
L
Column  
4
L
H
L
H
Address  
(A0~A8)  
H
4, 5  
Write &  
Column Address  
Auto Precharge Disable  
Auto Precharge Enable  
L
Column  
Address  
(A0~A8)  
4
H
H
H
X
X
X
L
L
L
H
H
L
L
H
H
L
L
L
X
X
X
V
H
4, 5  
Burst Stop  
Precharge  
X
6
Bank Selection  
All Banks  
V
X
L
X
H
H
L
X
V
X
X
H
X
V
X
X
H
X
V
X
X
H
X
V
X
V
X
X
H
X
V
Entry  
H
L
L
H
L
X
X
X
Clock Suspend or  
Active Power Down  
X
X
Exit  
X
H
L
Entry  
H
Precharge Power Down  
Mode  
H
L
Exit  
L
H
H
H
X
X
V
X
DQM  
X
X
7
H
L
X
H
X
H
No Operation Command  
(V=Valid, X=Dont Care, H=Logic High, L=Logic Low)  
NOTES :  
1. OP Code : Operand Code  
A0 ~ A12 & BA0 ~ BA1 : Program keys. (@MRS)  
2. MRS can be issued only at all banks precharge state.  
A new command can be issued after 2 CLK cycles of MRS.  
3. Auto refresh functions are the same as CBR refresh of DRAM.  
The automatical precharge without row precharge command is meant by "Auto".  
Auto/self refresh can be issued only at all banks precharge state.  
Partial self refresh can be issued only after setting partial self refresh mode of EMRS.  
4. BA0 ~ BA1 : Bank select addresses.  
5. During burst read or write with auto precharge, new read/write command can not be issued.  
Another bank read/write command can be issued after the end of burst.  
New row active of the associated bank can be issued at tRP after the end of burst.  
6. Burst stop command is valid at every burst length.  
7. DQM sampled at the positive going edge of CLK masks the data-in at that same CLK in write operation (Write DQM latency  
is 0), but in read operation, it makes the data-out Hi-Z state after 2 CLK cycles. (Read DQM latency is 2).  
9
September 2004  
K4S51153LF - Y(P)C/L/F  
Mobile SDRAM  
A. MODE REGISTER FIELD TABLE TO PROGRAM MODES  
Register Programmed with Normal MRS  
A9*2  
BA0 ~ BA1  
Address  
A12 ~ A10/AP  
A8  
A7  
A6  
A5  
A4  
A3  
A2  
A1  
A0  
RFU*1  
"0" Setting for Normal  
MRS  
Function  
W.B.L Test Mode  
CAS Latency  
BT  
Burst Length  
Normal MRS Mode  
Test Mode  
CAS Latency  
Burst Type  
Burst Length  
A8 A7  
Type  
Mode Register Set  
Reserved  
A6 A5 A4  
Latency  
A3  
0
Type  
Sequential  
Interleave  
A2  
0
A1  
0
A0  
0
BT=0  
BT=1  
0
0
1
1
0
1
0
1
0
0
0
0
1
1
1
1
0
0
1
1
0
0
1
1
0
1
0
1
0
1
0
1
Reserved  
1
1
2
4
8
1
2
4
8
1
0
0
1
Reserved  
2
Mode Select  
0
1
0
Reserved  
3
BA1 BA0  
Mode  
0
1
1
Write Burst Length  
Length  
Reserved  
Reserved  
Reserved  
Reserved  
1
0
0
Reserved Reserved  
Reserved Reserved  
Reserved Reserved  
Setting  
for Nor-  
mal MRS  
A9  
0
1
0
1
0
0
Burst  
1
1
0
Full Page*3  
Reserved  
1
Single Bit  
1
1
1
Register Programmed with Extended MRS  
Address  
BA1  
BA0  
A12 ~ A10/AP  
A9  
RFU*1  
A8  
A7  
A6  
A5  
A4  
A3  
A2  
A1  
A0  
RFU*1  
Function  
Mode Select  
DS  
PASR  
EMRS for PASR(Partial Array Self Ref.) & DS(Driver Strength)  
Mode Select  
Mode  
Driver Strength  
PASR  
BA1  
BA0  
A6  
0
A5  
0
Driver Strength  
A2 A1 A0  
Size of Refreshed Array  
Full Array  
0
0
1
1
0
1
0
1
Normal MRS  
Reserved  
Full  
1/2  
0
0
0
0
1
1
1
1
0
0
1
1
0
0
1
1
0
1
0
1
0
1
0
1
0
1
1/2 of Full Array  
1/4 of Full Array  
Reserved  
EMRS for Mobile SDRAM  
Reserved  
1
0
Reserved  
Reserved  
1
1
Reserved Address  
Reserved  
A12~A10/AP  
0
A9  
0
A8  
0
A7  
0
A4  
0
A3  
0
Reserved  
Reserved  
Reserved  
NOTES:  
1. RFU(Reserved for future use) should stay "0" during MRS cycle.  
2. If A9 is high during MRS cycle, "Burst Read Single Bit Write" function will be enabled.  
3. Full Page Length x16 : 64Mb(256), 128Mb(512),256Mb(512),512Mb(1024)  
10  
September 2004  
K4S51153LF - Y(P)C/L/F  
Mobile SDRAM  
Partial Array Self Refresh  
1. In order to save power consumption, Mobile SDRAM has PASR option.  
2. Mobile SDRAM supports 3 kinds of PASR in self refresh mode : Full Array, 1/2 of Full Array and 1/4 of Full Array.  
BA1=0  
BA0=0  
BA1=0  
BA0=1  
BA1=0  
BA0=0  
BA1=0  
BA0=1  
BA1=0  
BA0=0  
BA1=0  
BA0=1  
BA1=1  
BA0=0  
BA1=1  
BA0=1  
BA1=1  
BA0=0  
BA1=1  
BA0=1  
BA1=1  
BA0=0  
BA1=1  
BA0=1  
- 1/4 Array  
- Full Array  
- 1/2 Array  
Partial Self Refresh Area  
Temperature Compensated Self Refresh  
1. In order to save power consumption, Mobile-DRAM includes the internal temperature sensor and control units to control the self  
refresh cycle automatically according to the two temperature range : Max 40 °C and Max 70 °C.  
2. If the EMRS for external TCSR is issued by the controller, this EMRS code for TCSR is ignored.  
Self Refresh Current (Icc6)  
Temperature Range  
- F  
1/2 of Full Array  
900  
Unit  
- C  
- L  
Full Array  
1200  
1/4 of Full Array  
Max 70 °C  
Max 40 °C  
800  
700  
1500  
1200  
uA  
900  
800  
B. POWER UP SEQUENCE  
1. Apply power and attempt to maintain CKE at a high state and all other inputs may be undefined.  
- Apply VDD before or at the same time as VDDQ.  
2. Maintain stable power, stable clock and NOP input condition for a minimum of 200us.  
3. Issue precharge commands for all banks of the devices.  
4. Issue 2 or more auto-refresh commands.  
5. Issue a mode register set command to initialize the mode register.  
6. Issue a extended mode register set command to define DS or PASR operating type of the device after normal MRS.  
EMRS cycle is not mandatory and the EMRS command needs to be issued only when DS or PASR is used.  
The default state without EMRS command issued is full driver strength and full array refreshed.  
The device is now ready for the operation selected by EMRS.  
For operating with DS or PASR , set DS or PASR mode in EMRS setting stage.  
In order to adjust another mode in the state of DS or PASR mode, additional EMRS set is required but power up sequence is not  
needed again at this time. In that case, all banks have to be in idle state prior to adjusting EMRS set.  
11  
September 2004  
K4S51153LF - Y(P)C/L/F  
Mobile SDRAM  
C. BURST SEQUENCE  
1. BURST LENGTH = 4  
Initial Address  
Sequential  
Interleave  
A1  
0
A0  
0
0
1
2
3
1
2
3
0
2
3
0
1
3
0
1
2
0
1
2
3
1
0
3
2
2
3
0
1
3
2
1
0
0
1
1
0
1
1
2. BURST LENGTH = 8  
Initial Address  
Sequential  
Interleave  
A2  
0
A1  
0
A0  
0
0
1
2
3
4
5
6
7
1
2
3
4
5
6
7
0
2
3
4
5
6
7
0
1
3
4
5
6
7
0
1
2
4
5
6
7
0
1
2
3
5
6
7
0
1
2
3
4
5
7
0
1
2
3
4
5
6
0
1
2
3
4
5
6
7
1
2
3
0
1
6
7
4
5
3
2
1
0
7
6
5
4
4
5
6
7
0
1
2
3
5
4
7
6
1
0
3
2
6
7
4
5
2
3
0
1
7
6
5
4
3
2
1
0
0
0
1
6
7
0
1
2
3
4
0
3
2
5
4
7
6
0
1
0
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
12  
September 2004  

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