feat: Staking Rewards implementation + /analyze POST wiring

[vic-Gray]

Summary

This PR closes four issues across the contracts and frontend layers:

• Contracts: Implement core staking logic for Staking Rewards #311 — Core staking deposit logic
• Contracts: Implement reward calculation algorithm in Staking Rewards #312 — Time-based reward calculation algorithm
• Contracts: Optimize Staking Rewards loop iterations #316 — Staking ledger loop optimizations
• FE: Implement POST request to backend /analyze with WASM binary #293 — POST request to /analyze with WASM binary

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Changes

#311 — Core Staking Logic

• Implemented token deposit function in the Staking Rewards contract
• Records deposit amount against caller address in the staking ledger
• Updates total staked state on each deposit

#312 — Reward Calculation Algorithm

• Implemented time-based reward calculation: reward = amount * rate * duration
• Precision-safe arithmetic to prevent rounding accumulation
• Formula documented inline in the contract

#316 — Loop Optimization

• Audited all ledger iteration loops in Staking Rewards
• Combined multi-pass loops into single passes where possible
• Eliminated redundant storage reads/writes
• Each optimization commented with rationale

#293 — Frontend /analyze POST

• Resolved TODO at web/pages/index.tsx:148
• Wired POST request to /analyze endpoint with WASM binary payload
• Handles loading, error, and success states using existing UI state

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Files Changed

File	Change
contracts/staking_rewards/src/lib.rs	Core staking, reward calc, loop optimizations
web/pages/index.tsx	POST to /analyze wired at line 148

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Testing

• Staking deposit records correctly in ledger
• Reward calculation matches expected output for known inputs
• No regression in gas usage (optimized loops verified)
• /analyze POST fires correctly with WASM binary and handles all states

Closes #311
closes #312
closes #316
closes #293

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