题目描述
Mathematics wrapped in English is not that Easy
Love stories that happened in college life stays for longer , even for a life-time. Ramanuj and Alice's love story is one of them. How they both fall for each-other only the past knows.
Alice who was talented in English subject whereas Ramanuj was talented in Mathematics subject. After college they both got married with each-other.
After years of their successful married life , Alice wanted to re-live their love story life when they were in college. She remember about the game they both had played very much.
The game was as simple as doing calculation in Mathematics. Alice used to write any Mathematical operation in English and Ramanuj used to solve it to impress her. For example , let say mathematical of '2 + 2' is written as '2PLUS2' in English , and the result is '4' .
After years Ramanuj can't solve Alice's question on his own , so he asked you for your help. Solve it for Ramanuj and Alice.
Input : First line will contains an integer T number of test cases. Next T lines will contain S , single string of operation you have to solve.
Output : Produce required output for each test case in new line.
Note : You have to follow Precedence Order of Operators. And final answer should be an integer. Output can be a large value so output your result as modulo 10^9
Constraints
1 ≤ T ≤ 100
SAMPLE INPUT
5
2PLUS2MULTIPLY6DIVIDE2MINUS1
21PLUS59MINUS94MINUS93MINUS15MULTIPLY50
66MINUS39MULTIPLY54DIVIDE32MINUS48MULTIPLY71
33PLUS41MULTIPLY15MULTIPLY83MULTIPLY52PLUS25
7DIVIDE7MULTIPLY84MINUS88MINUS7MULTIPLY39
SAMPLE OUTPUT
7
-857
-3407
2654398
-277
Explanation
Case 1 Explanation , Input String can be re-written as shown below (with spacing). Now when we follow the Precedence Order of Operators the below written steps shows the performed operation on given string. And at end we get 7 as our final result.
2 PLUS 2 MULTIPLY 6 DIVIDE 2 MINUS 1
2 PLUS 12 DIVIDE 2 MINUS 1
2 PLUS 6 MINUS 1
8 MINUS 1
7
If we solve the other cases according to Precedence Order of operators , we get the following results.
Case 2 : -857
Case 3 : -3407
Case 4 : 2654398
Case 5 : -277
输入格式
见题面
输出格式
见题面
样例输入
60
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62MULTIPLY33PLUS61MULTIPLY95MULTIPLY96DIVIDE89MULTIPLY78MULTIPLY47DIVIDE64PLUS86PLUS15MINUS63MULTIPLY82MULTIPLY3DIVIDE26DIVIDE25MINUS58PLUS48DIVIDE37DIVIDE38DIVIDE18MULTIPLY2DIVIDE64MINUS42MULTIPLY59DIVIDE99DIVIDE62DIVIDE56MULTIPLY62DIVIDE66MULTIPLY14MULTIPLY82MULTIPLY28DIVIDE3MINUS2DIVIDE92MINUS61MULTIPLY65DIVIDE79PLUS31MINUS88PLUS99MINUS35DIVIDE65DIVIDE10MINUS85DIVIDE28MINUS30MULTIPLY16MINUS28PLUS86DIVIDE61MINUS54MULTIPLY76DIVIDE91PLUS36MULTIPLY60MINUS77
81PLUS25DIVIDE95PLUS53DIVIDE71DIVIDE47PLUS52PLUS100MINUS28DIVIDE11DIVIDE57MULTIPLY63MINUS90MINUS13MINUS38MULTIPLY66DIVIDE17MULTIPLY62
1MULTIPLY7DIVIDE71MULTIPLY32PLUS48DIVIDE96MULTIPLY87DIVIDE100MINUS29DIVIDE28MINUS14PLUS26DIVIDE90DIVIDE45MINUS96DIVIDE29MINUS76MULTIPLY46DIVIDE71PLUS61MULTIPLY90DIVIDE28MULTIPLY89PLUS14MULTIPLY72DIVIDE96MINUS12DIVIDE28PLUS74DIVIDE28DIVIDE54MULTIPLY89PLUS28PLUS7MINUS5MINUS51DIVIDE40MINUS98MULTIPLY93MINUS53MINUS63MULTIPLY61MINUS10MULTIPLY92DIVIDE19DIVIDE66PLUS36PLUS97DIVIDE17DIVIDE16MINUS45DIVIDE58PLUS14MULTIPLY31MULTIPLY40DIVIDE61MINUS87PLUS62PLUS79PLUS16MINUS78DIVIDE9PLUS54MULTIPLY78DIVIDE61DIVIDE57PLUS57MINUS81DIVIDE18PLUS17
25PLUS88PLUS63DIVIDE98MINUS60PLUS93MULTIPLY77DIVIDE7PLUS95MULTIPLY20MINUS72DIVIDE7DIVIDE48PLUS80MINUS19MULTIPLY5MULTIPLY58PLUS22MINUS59MINUS71DIVIDE34PLUS21PLUS70PLUS41PLUS28PLUS60MULTIPLY93PLUS61DIVIDE43MULTIPLY89MINUS2DIVIDE37DIVIDE3DIVIDE2MINUS55MINUS90MULTIPLY53DIVIDE38DIVIDE71MULTIPLY34MULTIPLY65PLUS1
2MINUS98MULTIPLY17DIVIDE80DIVIDE74DIVIDE57DIVIDE65PLUS22DIVIDE69PLUS48MULTIPLY43PLUS27PLUS65DIVIDE45DIVIDE86DIVIDE80MINUS15DIVIDE33PLUS67MULTIPLY87MULTIPLY47MINUS37MULTIPLY81DIVIDE39MINUS31DIVIDE48PLUS100DIVIDE86MINUS12MINUS44MINUS44MULTIPLY3DIVIDE10DIVIDE38DIVIDE16MULTIPLY48MULTIPLY90DIVIDE94MINUS52MINUS61MULTIPLY10DIVIDE35MINUS57MINUS66PLUS16MINUS59DIVIDE11MINUS58PLUS99MINUS2MINUS40MULTIPLY81DIVIDE64PLUS35PLUS67MINUS96MULTIPLY3DIVIDE55MULTIPLY54PLUS86DIVIDE20MINUS94PLUS35PLUS41DIVIDE31MINUS34MINUS89MINUS14DIVIDE6MULTIPLY19PLUS87PLUS13DIVIDE91MINUS92PLUS93DIVIDE77PLUS2MINUS91MULTIPLY63MULTIPLY83MULTIPLY41PLUS39
72MINUS56PLUS24PLUS3PLUS64DIVIDE56
89PLUS30MINUS5MINUS39MINUS19PLUS61MULTIPLY99MINUS74DIVIDE51MULTIPLY74DIVIDE75PLUS6MINUS36MULTIPLY8MINUS41MULTIPLY20MULTIPLY34MULTIPLY27DIVIDE25DIVIDE54MULTIPLY15DIVIDE27MULTIPLY82MINUS76PLUS41MULTIPLY1MINUS87MINUS79MINUS41PLUS9DIVIDE26DIVIDE9MINUS27DIVIDE6MULTIPLY68PLUS79PLUS94MULTIPLY16DIVIDE61MULTIPLY45PLUS6DIVIDE81PLUS77DIVIDE46MINUS21DIVIDE26MINUS61MULTIPLY43MINUS2MULTIPLY59MULTIPLY74DIVIDE15MINUS48PLUS52
41MULTIPLY6MULTIPLY59MULTIPLY59MINUS79MINUS76MULTIPLY84MULTIPLY8MINUS60PLUS43MULTIPLY91PLUS4DIVIDE71PLUS79MINUS36MINUS7MULTIPLY9MULTIPLY88PLUS1PLUS44MULTIPLY28MINUS27DIVIDE15PLUS32MULTIPLY72DIVIDE79MULTIPLY90DIVIDE48DIVIDE29PLUS31MINUS87MINUS16MINUS33DIVIDE82
64DIVIDE93PLUS61DIVIDE21DIVIDE99DIVIDE34MINUS8MINUS39MULTIPLY3DIVIDE70PLUS56DIVIDE96PLUS40PLUS97DIVIDE19MINUS64DIVIDE11MULTIPLY97MULTIPLY6MULTIPLY58MINUS33MULTIPLY49
23MULTIPLY58MINUS15MINUS22PLUS64MINUS64DIVIDE70MINUS37DIVIDE50MULTIPLY37PLUS19MINUS95MINUS4DIVIDE67MULTIPLY30MULTIPLY34DIVIDE80MULTIPLY27PLUS91MULTIPLY79PLUS4MINUS76DIVIDE41DIVIDE46MULTIPLY31PLUS2DIVIDE62MINUS17PLUS25DIVIDE85MULTIPLY60MULTIPLY22PLUS44MINUS28MULTIPLY27PLUS21PLUS67PLUS84MINUS40MULTIPLY62MULTIPLY38DIVIDE77MINUS78DIVIDE12MULTIPLY55MINUS43PLUS11PLUS85DIVIDE56MULTIPLY59MULTIPLY50DIVIDE6PLUS33DIVIDE75
82MULTIPLY55MINUS56MULTIPLY53MULTIPLY98MULTIPLY33DIVIDE66PLUS34MINUS81DIVIDE37MULTIPLY20MINUS41PLUS93MULTIPLY51DIVIDE71DIVIDE13MULTIPLY41DIVIDE25MULTIPLY70DIVIDE22PLUS26MULTIPLY32MULTIPLY29MINUS19MINUS12PLUS89MINUS26MULTIPLY5MINUS98PLUS70DIVIDE74DIVIDE70MULTIPLY68MULTIPLY4PLUS42PLUS54DIVIDE58PLUS22PLUS86PLUS66MINUS47DIVIDE65PLUS22DIVIDE62DIVIDE39MINUS37DIVIDE56MULTIPLY85MULTIPLY77MINUS97MULTIPLY94MULTIPLY70PLUS4DIVIDE47DIVIDE45MINUS34PLUS46MINUS87MULTIPLY13PLUS35MULTIPLY41MINUS76MINUS50PLUS83PLUS54PLUS51DIVIDE26MULTIPLY34MINUS76MULTIPLY64PLUS92MINUS73MINUS8PLUS98DIVIDE41PLUS60MINUS17MULTIPLY31
7MINUS45PLUS79DIVIDE23MINUS17PLUS67MINUS29DIVIDE56MULTIPLY56MULTIPLY50MULTIPLY76MINUS39PLUS89PLUS37DIVIDE24PLUS77MULTIPLY3MINUS19MINUS52DIVIDE27PLUS60MINUS88MULTIPLY58PLUS10DIVIDE78DIVIDE74MULTIPLY78PLUS84MULTIPLY90PLUS50PLUS30DIVIDE45DIVIDE52MULTIPLY8MULTIPLY49MULTIPLY53MULTIPLY55MULTIPLY63MINUS97MULTIPLY82PLUS75MULTIPLY69DIVIDE21MULTIPLY10DIVIDE80MULTIPLY51MINUS91PLUS99DIVIDE89MINUS72PLUS34MINUS73
50MINUS42DIVIDE81MULTIPLY75MULTIPLY62MINUS69MULTIPLY77PLUS96PLUS1MULTIPLY1MINUS65MINUS33PLUS66MINUS78MULTIPLY83DIVIDE8PLUS32MINUS49DIVIDE65DIVIDE22PLUS20PLUS32MINUS26PLUS52DIVIDE33MINUS1MULTIPLY16PLUS15DIVIDE33PLUS54MULTIPLY7DIVIDE43PLUS94DIVIDE5MINUS76DIVIDE99PLUS3DIVIDE11MINUS38DIVIDE27MINUS64MULTIPLY15MULTIPLY60MULTIPLY70PLUS84PLUS10MULTIPLY16DIVIDE26MULTIPLY77PLUS57MULTIPLY18DIVIDE1DIVIDE76MINUS33PLUS7DIVIDE81MINUS1MINUS59DIVIDE60DIVIDE58MULTIPLY62MINUS65MINUS58MULTIPLY59MULTIPLY95MINUS8PLUS68DIVIDE31PLUS45MINUS82DIVIDE88PLUS81MULTIPLY4PLUS70MINUS2MINUS2MULTIPLY17MINUS6MULTIPLY26PLUS65DIVIDE44PLUS12MINUS39MULTIPLY4PLUS81MULTIPLY44MULTIPLY40MINUS42PLUS30DIVIDE10MULTIPLY42PLUS20MINUS21DIVIDE47PLUS27MULTIPLY8
47MINUS75PLUS7MINUS55MULTIPLY94MULTIPLY54MULTIPLY57MULTIPLY59MULTIPLY80MULTIPLY91MINUS80DIVIDE52PLUS14DIVIDE83PLUS5DIVIDE89MULTIPLY30PLUS70MINUS34MINUS46DIVIDE100MULTIPLY63MINUS28MINUS10MINUS29MINUS76PLUS83PLUS86PLUS56MINUS39MINUS76MINUS33MULTIPLY11MULTIPLY94MINUS8PLUS8PLUS70MULTIPLY78MULTIPLY22PLUS85DIVIDE88MINUS95MULTIPLY88DIVIDE71MINUS31MINUS10PLUS33MULTIPLY40PLUS49DIVIDE27DIVIDE85MULTIPLY78DIVIDE26PLUS72MINUS20DIVIDE82MINUS56MINUS38
66DIVIDE18MINUS53PLUS73MINUS45MULTIPLY50PLUS22PLUS18MULTIPLY51DIVIDE70PLUS9DIVIDE17MULTIPLY32PLUS88PLUS73PLUS36DIVIDE38DIVIDE49DIVIDE43MULTIPLY96DIVIDE28PLUS79DIVIDE91MULTIPLY84MINUS93DIVIDE5MINUS72MULTIPLY66MULTIPLY89MULTIPLY25PLUS99PLUS20DIVIDE9MINUS9PLUS19MULTIPLY49MINUS63PLUS91MULTIPLY80MINUS12MULTIPLY34MULTIPLY78MULTIPLY24PLUS24MINUS48PLUS13PLUS74DIVIDE61PLUS65MINUS66MULTIPLY29DIVIDE27MINUS65DIVIDE57PLUS83PLUS29PLUS34PLUS83MINUS27MINUS55MULTIPLY43MULTIPLY34MULTIPLY44DIVIDE83MINUS85PLUS38MULTIPLY56PLUS72DIVIDE10DIVIDE13MINUS83MULTIPLY21MINUS58PLUS55DIVIDE12DIVIDE1MINUS74DIVIDE91DIVIDE9DIVIDE67MULTIPLY91DIVIDE69DIVIDE69MINUS48MULTIPLY77DIVIDE72DIVIDE4MINUS99MINUS27PLUS4MULTIPLY86MULTIPLY25PLUS60PLUS52PLUS100MULTIPLY93MINUS74PLUS97MINUS14DIVIDE70MINUS79MINUS95MINUS67MINUS43MULTIPLY38PLUS90
97MULTIPLY27MULTIPLY48DIVIDE50DIVIDE27MULTIPLY60PLUS60MULTIPLY91MINUS33DIVIDE27PLUS72PLUS17DIVIDE88PLUS84DIVIDE45DIVIDE67PLUS78DIVIDE72DIVIDE16PLUS92MINUS14MINUS50DIVIDE84MULTIPLY56PLUS33MINUS88DIVIDE82PLUS77MINUS98DIVIDE98DIVIDE31MULTIPLY36MINUS50MINUS55PLUS67PLUS20DIVIDE67DIVIDE3MULTIPLY15PLUS29DIVIDE83MULTIPLY69PLUS88MULTIPLY45DIVIDE87DIVIDE19MINUS41MINUS100PLUS45MINUS3PLUS91PLUS94MINUS85MULTIPLY59MULTIPLY3PLUS86MULTIPLY31DIVIDE64DIVIDE29PLUS48PLUS47MINUS62MINUS3DIVIDE19PLUS61PLUS83PLUS91MINUS12MINUS92MULTIPLY1DIVIDE53MINUS85MULTIPLY51PLUS94
12MULTIPLY1PLUS25DIVIDE13MULTIPLY97MULTIPLY19MULTIPLY27PLUS44MULTIPLY24MULTIPLY33MINUS15PLUS67PLUS6MINUS11PLUS72PLUS35MINUS37MINUS54MULTIPLY76MINUS16DIVIDE17DIVIDE30PLUS52PLUS26DIVIDE27DIVIDE59MINUS31PLUS89DIVIDE53MINUS76MINUS49MULTIPLY5PLUS82PLUS45MINUS84DIVIDE27PLUS47MINUS74MINUS90MULTIPLY9MULTIPLY94MULTIPLY5DIVIDE28PLUS49PLUS79PLUS48PLUS27MINUS35DIVIDE85MINUS47MULTIPLY66DIVIDE68DIVIDE58MULTIPLY45MINUS36MINUS8
2MINUS68MULTIPLY37MINUS55MULTIPLY39MULTIPLY28PLUS66MULTIPLY75DIVIDE58PLUS82DIVIDE36MINUS12MULTIPLY19PLUS18DIVIDE68DIVIDE27PLUS59MULTIPLY32MULTIPLY72DIVIDE34PLUS56PLUS8MINUS50MULTIPLY42DIVIDE48PLUS15MULTIPLY51DIVIDE99PLUS24MINUS2MULTIPLY72MINUS55PLUS65MINUS39PLUS87MULTIPLY69PLUS55MULTIPLY66MINUS41MINUS99MINUS93DIVIDE50MULTIPLY99PLUS78DIVIDE93MINUS89DIVIDE55PLUS1MINUS16MINUS20MULTIPLY1PLUS44
81DIVIDE2MULTIPLY41MINUS77MINUS13PLUS94MULTIPLY80DIVIDE2PLUS23PLUS75PLUS76MINUS82DIVIDE25DIVIDE91MULTIPLY8PLUS80PLUS29MINUS3DIVIDE95MULTIPLY82PLUS43MINUS41PLUS24DIVIDE3PLUS17MULTIPLY71MINUS95MINUS9MULTIPLY4MINUS52MINUS29MINUS91PLUS31DIVIDE41MINUS20DIVIDE76DIVIDE16DIVIDE7MULTIPLY48MINUS41MULTIPLY40MULTIPLY36MINUS29DIVIDE24PLUS10MINUS2DIVIDE44MINUS34PLUS59DIVIDE56MULTIPLY52MULTIPLY19DIVIDE81PLUS78MULTIPLY13PLUS67PLUS30MINUS91PLUS50MINUS60PLUS22MULTIPLY46DIVIDE77PLUS85DIVIDE32MINUS73PLUS33DIVIDE1MULTIPLY2DIVIDE14MINUS12PLUS41MINUS23PLUS97PLUS39MULTIPLY50PLUS80MULTIPLY6MINUS5MULTIPLY54MINUS41DIVIDE44PLUS44MINUS85PLUS81PLUS82PLUS61DIVIDE32PLUS5MINUS93MINUS3MINUS38MINUS71MULTIPLY41DIVIDE25DIVIDE41
50MINUS94MULTIPLY47MULTIPLY48MINUS74MULTIPLY10DIVIDE56MINUS19DIVIDE60DIVIDE24PLUS48DIVIDE36MINUS5DIVIDE65MULTIPLY13MULTIPLY67PLUS98DIVIDE56MULTIPLY56PLUS1DIVIDE46PLUS4DIVIDE100DIVIDE6DIVIDE80MULTIPLY37DIVIDE14PLUS91MULTIPLY53DIVIDE30PLUS17MULTIPLY76DIVIDE11DIVIDE14MINUS84PLUS9PLUS13MULTIPLY38PLUS74DIVIDE77DIVIDE56DIVIDE14MINUS49MINUS51MINUS38PLUS55DIVIDE1MINUS13PLUS48MULTIPLY100MINUS94PLUS29DIVIDE70DIVIDE32PLUS97PLUS66PLUS58MINUS11PLUS100PLUS32MULTIPLY61MULTIPLY79MINUS100PLUS76DIVIDE49MINUS45MULTIPLY78MINUS10PLUS6MULTIPLY80DIVIDE28DIVIDE98MULTIPLY20MINUS54DIVIDE89MINUS24PLUS13DIVIDE53PLUS68PLUS8
60DIVIDE67DIVIDE59MINUS88MINUS83MINUS70MINUS62MINUS55MULTIPLY85MULTIPLY41MINUS67PLUS1MULTIPLY63MINUS58DIVIDE96PLUS90DIVIDE78PLUS95MULTIPLY22PLUS79DIVIDE73MULTIPLY79DIVIDE5MINUS99MULTIPLY55PLUS7MINUS24PLUS89DIVIDE29MULTIPLY42MULTIPLY57PLUS61DIVIDE29MINUS19MINUS87MULTIPLY6MULTIPLY95MINUS73MINUS66MULTIPLY100MINUS53DIVIDE43MINUS22PLUS42PLUS44MULTIPLY38PLUS4DIVIDE97MULTIPLY74MULTIPLY32DIVIDE63MINUS82MULTIPLY93MINUS82MINUS71DIVIDE85DIVIDE93DIVIDE28DIVIDE66DIVIDE23MULTIPLY61PLUS16PLUS34DIVIDE49MULTIPLY46MINUS37DIVIDE97PLUS93PLUS1DIVIDE78DIVIDE51PLUS48MINUS19PLUS66
51MULTIPLY96MINUS40MINUS74PLUS59DIVIDE38MINUS12PLUS42MINUS66MINUS66MINUS13MULTIPLY86MULTIPLY67MINUS69MINUS93PLUS27MULTIPLY26MINUS81MINUS97PLUS43MINUS99MULTIPLY82PLUS53MINUS68MINUS14MULTIPLY30MULTIPLY69PLUS91DIVIDE95MULTIPLY67DIVIDE8MINUS25PLUS93MULTIPLY51MULTIPLY80MULTIPLY18MULTIPLY31DIVIDE48PLUS57DIVIDE27DIVIDE46MULTIPLY94PLUS46DIVIDE62PLUS88DIVIDE3MINUS8PLUS51PLUS37MINUS74MULTIPLY56MINUS26MULTIPLY83MULTIPLY17MULTIPLY100MINUS58MINUS63MULTIPLY15MINUS57DIVIDE13DIVIDE18DIVIDE64MULTIPLY15MINUS98PLUS100PLUS48MINUS13PLUS57PLUS53MULTIPLY56DIVIDE95MULTIPLY37DIVIDE53DIVIDE34
5MINUS34MULTIPLY65PLUS52MULTIPLY18MINUS83MULTIPLY35MINUS75DIVIDE40PLUS65DIVIDE77DIVIDE40MINUS40MULTIPLY46MULTIPLY32DIVIDE19MULTIPLY12DIVIDE10MULTIPLY45PLUS90PLUS96MINUS41MULTIPLY98MINUS69MINUS42DIVIDE32DIVIDE50MULTIPLY58MULTIPLY36MINUS8MINUS12PLUS71PLUS21MINUS50PLUS58DIVIDE54PLUS37MULTIPLY81MULTIPLY74MINUS77DIVIDE28DIVIDE94PLUS89MINUS82MULTIPLY1MULTIPLY99MINUS19PLUS25MULTIPLY79MULTIPLY6MULTIPLY6DIVIDE96DIVIDE14MULTIPLY79DIVIDE42MINUS86PLUS55PLUS91MINUS81MULTIPLY76MULTIPLY71MINUS22PLUS79MINUS72DIVIDE1MINUS12DIVIDE41MULTIPLY98MINUS30MULTIPLY24MULTIPLY77DIVIDE8PLUS11PLUS29PLUS24MINUS77DIVIDE88PLUS53MULTIPLY39MULTIPLY66MULTIPLY32MINUS23MULTIPLY20MINUS88PLUS38MULTIPLY32PLUS26DIVIDE57MINUS99DIVIDE88MINUS83PLUS33DIVIDE92MINUS6MINUS16MINUS27
样例输出
9403
-285627168
-56105
-84418
-353126
32940272
57188724
-612793
-25092
-10183349
-10700
-21604800
-9
-6368
-289408
52165
268674
-789178
86062
-90596792
2558
554257
-24300
-3039
101
38204
5755
643445504
-60715
-22028332
14148477
208
114922
-182532
17049
328650624
-6991651
-15356
7389966
6714
-20887
6232
99263
5147114
-925162
-2181881
-233952
304088
-1554961
-7438
20115
371
28178
-2059
971
-2729819
-289316
-48769
396
1337172
898868
-10980796
-2246996
141562
-35872
-3487039
-170913
-890901
24612
-81135
-138754
710862
-77423
23568
-38
131694
181
95472
-14124150
-429828